A novel method based on independent component analysis and phase congruency is proposed for detecting defects in textile fabric images. By independent component, we can obtain textile structural features of fabric-fre...A novel method based on independent component analysis and phase congruency is proposed for detecting defects in textile fabric images. By independent component, we can obtain textile structural features of fabric-free images. By phase congru- ency, structure information is reduced, which can distinguish the defect region from the defect-free regions. Finally, we have the detecting result from binary image which is obtained by a thresh- old step, Compared with other algorithms, the proposed method not only has robustness with high detection rate, but also detects various types of defects quite well.展开更多
In this paper,a new approach of muhi-modality image registration is represented with not only image intensity,but also features describing image structure.There are two novelties in the proposed method.Firstly,instead...In this paper,a new approach of muhi-modality image registration is represented with not only image intensity,but also features describing image structure.There are two novelties in the proposed method.Firstly,instead of standard mutual information(MI)based on joint intensity histogram,regional mutual information(RMI)is employed,which allows neighborhood information to be taken into account.Secondly,a new feature images obtained by means of phase congruency are invariants to brightness or contrast changes.By incorporating these features and intensity into RMI,we can combine the aspects of both structural and neighborhood information together,which offers a more robust and a high level of registration accuracy.展开更多
The present study investigates the effects of congruency and frequency on adjective-noun collocational processing for Chinese learners of English at two proficiency levels based on the data obtained in an online accep...The present study investigates the effects of congruency and frequency on adjective-noun collocational processing for Chinese learners of English at two proficiency levels based on the data obtained in an online acceptability judgment task.The subject pool of this research included 60 English majors studying at a university in China;30 were selected as a higher-proficiency group and 30 as a lower-proficiency group according to their Vocabulary Levels Test(Schmitt et al.,2001)scores and their self-reported proficiency in English.The experimental materials were programmed to E-prime 2.0 and included six types of collocations:(1)15 high-frequency congruent collocations,(2)15 low-frequency congruent collocations,(3)15 high-frequency incongruent collocations,(4)15 low-frequency incongruent collocations,(5)15 Chinese-only items,and(6)75 unrelated items for baseline data.The collected response times(RTs)and accuracy rates data were statistically analyzed by the use of an ANOVA test and pairwise comparisons through SPSS 16.0 software.The results revealed that:(1)the adjective-noun collocational processing of Chinese English learners is influenced by collocational frequency,congruency and L2 proficiency;(2)the processing time is affected by the interaction of congruency and frequency;and(3)the interactive effect of L2 proficiency in conjunction with congruency and frequency also influences the processing quality.展开更多
We investigated the effects of handedness on developing latent cognitive response strategies according to situation variables. We used the findings of the block-wise Proportion Congruency (PC) effect in which the prop...We investigated the effects of handedness on developing latent cognitive response strategies according to situation variables. We used the findings of the block-wise Proportion Congruency (PC) effect in which the proportion of congruent trials in a given block modulates the compatibility effect in its block. The block-wise PC effect cannot be intentionally controlled. A Simon task with three different types of Proportion Congruency (PC) in a given block was used to measure the block-wise PC effects. This task was administered to 24 left-handed and 24 right-handed participants. The reaction time and error rates, consistent with previous studies, demonstrated that the block-wise PC effect was observed in left- and right-handers. Crucially, the block-wise PC effect was more pronounced in left- than right-handers, suggesting that left- and right-handers unintentionally apply different cognitive strategies in response to conflict resolution experiences.展开更多
Research into the concept of attraction has indicated the existence of olfactory influences that go beyond pheromonal level. Synthetic fragrances have been found to affect not only perception of attraction, but also a...Research into the concept of attraction has indicated the existence of olfactory influences that go beyond pheromonal level. Synthetic fragrances have been found to affect not only perception of attraction, but also attribution of beauty-unrelated intrinsic characteristics. The present study aimed to examine the impact of perfume-gender congruency on ratings of attractiveness and any perfume-generated halo effect. Male faces categorized as low, medium and high attractiveness were rated by 36 heterosexual female students across six domains: attractive, reliable, outgoing, intelligent, wealthy and socially competent. Ratings were made in the presence of a female perfume (incongruent condition), male perfume (congruent condition) or a no perfume control condition, with participants randomly allocated to produce three groups of equal size. The results indicated that 1) attractiveness generated a significant halo effect;2) the male perfume did not significantly enhance perception of attractiveness compared to the female perfume;and 3) the gender-congruent fragrance heightened attribution of “halo” characteristics. These results indicate that gender congruent perfume can impact positively on first impressions beyond attractiveness, and are discussed in terms of possible mechanisms and implications.展开更多
Let d(n;r_(1),q_(1),r_(2),q_(2))be the number of factorization n=n_(1)n_(2)satisfying n_i≡r_i(mod q_i)(i=1,2)andΔ(x;r_(1),q_(1),r_(2),q_(2))be the error term of the summatory function of d(n;r_(1),q_(1),r_(2),q_(2))...Let d(n;r_(1),q_(1),r_(2),q_(2))be the number of factorization n=n_(1)n_(2)satisfying n_i≡r_i(mod q_i)(i=1,2)andΔ(x;r_(1),q_(1),r_(2),q_(2))be the error term of the summatory function of d(n;r_(1),q_(1),r_(2),q_(2)).Suppose x≥(q_(1)q_(2))^(1+ε),1≤r_i≤q_i,and(r_i,q_i)=1(i=1,2).This paper studies the power moments and sign changes ofΔ(x;r_(1),q_(1),r_(2),q_(2)).We prove that for sufficiently large constant C,Δ(q_(1)q_(2)x:r_(1),q_(1),r_(2),q_(2))changes sign in the interval[T,T+C√T]for any large T.Meanwhile,we show that for small constants c and c,there exist infinitely many subintervals of length c√log^(-7)T in[T,2T]where±Δ(q_(1)q_(2)x:r_(1),q_(1),r_(2),q_(2))>cx^(1/4)always holds.展开更多
Let G be a finite group and d a positive integer.Let s_(dN)(G)denote the smallest positive integer l such that every sequence over G of length at least l contains a nonempty product-one subsequence T with|T|≡0(mod d)...Let G be a finite group and d a positive integer.Let s_(dN)(G)denote the smallest positive integer l such that every sequence over G of length at least l contains a nonempty product-one subsequence T with|T|≡0(mod d).This paper studies s_(dN)(D_(2n))for the dihedral group D_(2n) and shows that when n=2^(r) with r≥3,the equality s_(dN)(D_(2n))=lcm(n,d)+gcd(n,d)holds.展开更多
Life-history traits represent evolutionary adaptations that mediate responses to external environments.Analyzing variation in these traits provides valuable insights into macroecological processes and supports the dev...Life-history traits represent evolutionary adaptations that mediate responses to external environments.Analyzing variation in these traits provides valuable insights into macroecological processes and supports the development of effective conservation and restoration strategies.However,large-scale biogeographic patterns in life-history trait diversity among terrestrial vertebrates remain insufficiently characterized,and the processes shaping these patterns are not well understood.This study integrated life-history and spatial distribution data for 2334 terrestrial vertebrate species in China,including 398 amphibians,211 reptiles,541 mammals,and 1184 birds,to evaluate spatial patterns of trait diversity and identify underlying drivers.Assemblages in South and Southwest China exhibited high species richness,substantial assemblage-level evolutionary distinctiveness,expanded trait volumes,and elevated trait densities compared to null expectations,indicating roles as both evolutionary museums and cradles.In contrast,assemblages on the Tibetan Plateau showed expanded trait volumes but low trait densities,reflecting niche expansion among limited taxa.These findings emphasize the importance of niche packing before assemblages reach environmental carrying limits.Assemblages with high evolutionary distinctiveness tended to display high trait volumes and low trait densities,suggesting a consistent relationship between phylogenetic structure and functional diversification.Among the four groups,amphibians showed the highest sensitivity to environmental variation,highlighting the need for focused conservation efforts.Overall,this study revealed pronounced spatial heterogeneity in trait diversity across China,shaped by species richness,evolutionary distinctiveness,and environmental variation,providing valuable insights for refining conservation priorities for terrestrial vertebrate taxa.展开更多
Attention allocation research frequently focuses on the valence of emotion. However, there is increasing evidence to indicate that arousal may be more relevant at some stages of affective processing. The present study...Attention allocation research frequently focuses on the valence of emotion. However, there is increasing evidence to indicate that arousal may be more relevant at some stages of affective processing. The present study employed a combined priming and cue-target paradigm and examined event-related potentials (ERPs) in order to explore the effects of emotional conflict of arousal on attention allocation. The background context of arousal was manipulated (using photos of facial expressions) while subjects performed a cognitive task in which a central arrow cue indicated the location of a peripheric target square, and a response was made according to the direction of the square. There was no main effect between incongruent emotion and congruent emotion in the response time, which means the resolution of the emotional conflict facilitate the participant behavioral response. There was a main effect of different emotional states on ERP component. In the present study, incongruent arousal also triggered greater positive potential compared with congruent arousal.展开更多
In order to apply the deep learning to the stereo image quality evaluation,two problems need to be solved:The first one is that we have a bit of training samples,another is how to input the dimensional image’s left v...In order to apply the deep learning to the stereo image quality evaluation,two problems need to be solved:The first one is that we have a bit of training samples,another is how to input the dimensional image’s left view or right view.In this paper,we transfer the 2D image quality evaluation model to the stereo image quality evaluation,and this method solves the first problem;use the method of principal component analysis is used to fuse the left and right views into an input image in order to solve the second problem.At the same time,the input image is preprocessed by phase congruency transformation,which further improves the performance of the algorithm.The structure of the deep convolution neural network consists of four convolution layers and three maximum pooling layers and two fully connected layers.The experimental results on LIVE3D image database show that the prediction quality score of the model is in good agreement with the subjective evaluation value.展开更多
The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed. The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each q...The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed. The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quaternion matrix. It is proved that any two semi-positive definite Hermitian quaternion matrices can be simultaneously diagonalized by congruence.展开更多
Tracking moving target from image or video sequence is a hot research topic in computer vision. An algorithm based on LogGabor wavelet and Mean-shift has been proposed for moving target tracking under fixed camera set...Tracking moving target from image or video sequence is a hot research topic in computer vision. An algorithm based on LogGabor wavelet and Mean-shift has been proposed for moving target tracking under fixed camera setting and complicated environment. Phase coherency of LogGabor wavelet facilitates to extract the edge of moving target and check noise. According to the edge detection,the starting location of Mean-shift can be estimated using the target center coordinate. Eventually,a real-time moving target can be extracted by doing iterative matching pursuit,and experimental results proved the effectiveness of the method proposed.展开更多
In this article, for any a in the MS-algebra L, the author considers the con- gruence of the form defined by （x,y） ∈θa→←x∧a°° = y ∧a° and x ∨ a°° = y ∨ a°°. A characterizat...In this article, for any a in the MS-algebra L, the author considers the con- gruence of the form defined by （x,y） ∈θa→←x∧a°° = y ∧a° and x ∨ a°° = y ∨ a°°. A characterization of subdirectly irreducible MS-algebras is given and it is also proved that the union of two principal congruences having this form is a principal congruence if and only if L ∈ K2 ∨ K3.展开更多
In this paper, we describe all the divisible semiring congruences on a distributive semiring S and also establish a one_to_one, inclusion_preserving mapping from the set of full, closed, self_conjagate, ideal subsemir...In this paper, we describe all the divisible semiring congruences on a distributive semiring S and also establish a one_to_one, inclusion_preserving mapping from the set of full, closed, self_conjagate, ideal subsemirings of S to the set of all divisible semiring congruences on S.展开更多
In the quotient space theory of granular computing,the universe structure is assumed to be a topology,therefore,its application is still limited.In this study,based on the quotient space model,the universe structure i...In the quotient space theory of granular computing,the universe structure is assumed to be a topology,therefore,its application is still limited.In this study,based on the quotient space model,the universe structure is assumed as an algebra instead of a topology.As to obtain the algebraic quotient operator,the granulation must be uniquely determined by a congruence relation,and all the congruence relations form a complete semi-order lattice,which is the theoretical basis of granularities ' completeness.When the given equivalence relation is not a congruence relation,it defines the concepts of upper quotient and lower quotient,and discusses some of their properties which demonstrate that falsity preserving principle and truth preserving principle are still valid.Finally,it presents the algorithms and example of upper quotient and lower quotient.The work extends the quotient space theory from structure,and provides theoretical basis for the combination of the quotient space theory and the algebra theory.展开更多
In this paper a novel class of neural networks called generalized congruence neural networks (GCNN) is proposed. All neurons in the neural networks are activated in the form of congruence. The architectures, learnin...In this paper a novel class of neural networks called generalized congruence neural networks (GCNN) is proposed. All neurons in the neural networks are activated in the form of congruence. The architectures, learning rules and two algorithms are presented. Simulation results indicate that such network has satisfactory generalization properties near the sample points. Since this kind of neural nets can be easily operated and implemented, it is appropriate to make further research concerning the theory and applications of GCNN.展开更多
In this paper,we propose a solution based on four-qubit Aharonov state to an old problem by using the property of congruence.The proposed scheme may realize the broadcast among four participants,therefore,it makes pro...In this paper,we propose a solution based on four-qubit Aharonov state to an old problem by using the property of congruence.The proposed scheme may realize the broadcast among four participants,therefore,it makes progress to the three-party broadcast realized previously.Using pairwise quantum channels and entangled qubits,the detection between these players also can be accomplished.Finally,the feasibility of the protocol and the analysis of security are illustrated.展开更多
The authors consider the extended Hecke groups H(γq) generated by T(z) = -1 / z, S(z) = -1(z +γq) and R(z) = 1 / z with A, = 2 cos(π/q) for q≥3 an integer. In this paper, the even subgroup He(γq), the second comm...The authors consider the extended Hecke groups H(γq) generated by T(z) = -1 / z, S(z) = -1(z +γq) and R(z) = 1 / z with A, = 2 cos(π/q) for q≥3 an integer. In this paper, the even subgroup He(γq), the second commutator subgroup H''(γq) and the principal congruence subgroups Hp(λq) of the extended Hecke groups .H(γq) are studied. Also, relations between them are given.展开更多
Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained ...Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained by Jie Fang on symmetric extended De Morgan algebras are generalized.展开更多
基金Supported by the National Natural Science Foundation of China(61072135)
文摘A novel method based on independent component analysis and phase congruency is proposed for detecting defects in textile fabric images. By independent component, we can obtain textile structural features of fabric-free images. By phase congru- ency, structure information is reduced, which can distinguish the defect region from the defect-free regions. Finally, we have the detecting result from binary image which is obtained by a thresh- old step, Compared with other algorithms, the proposed method not only has robustness with high detection rate, but also detects various types of defects quite well.
文摘In this paper,a new approach of muhi-modality image registration is represented with not only image intensity,but also features describing image structure.There are two novelties in the proposed method.Firstly,instead of standard mutual information(MI)based on joint intensity histogram,regional mutual information(RMI)is employed,which allows neighborhood information to be taken into account.Secondly,a new feature images obtained by means of phase congruency are invariants to brightness or contrast changes.By incorporating these features and intensity into RMI,we can combine the aspects of both structural and neighborhood information together,which offers a more robust and a high level of registration accuracy.
文摘The present study investigates the effects of congruency and frequency on adjective-noun collocational processing for Chinese learners of English at two proficiency levels based on the data obtained in an online acceptability judgment task.The subject pool of this research included 60 English majors studying at a university in China;30 were selected as a higher-proficiency group and 30 as a lower-proficiency group according to their Vocabulary Levels Test(Schmitt et al.,2001)scores and their self-reported proficiency in English.The experimental materials were programmed to E-prime 2.0 and included six types of collocations:(1)15 high-frequency congruent collocations,(2)15 low-frequency congruent collocations,(3)15 high-frequency incongruent collocations,(4)15 low-frequency incongruent collocations,(5)15 Chinese-only items,and(6)75 unrelated items for baseline data.The collected response times(RTs)and accuracy rates data were statistically analyzed by the use of an ANOVA test and pairwise comparisons through SPSS 16.0 software.The results revealed that:(1)the adjective-noun collocational processing of Chinese English learners is influenced by collocational frequency,congruency and L2 proficiency;(2)the processing time is affected by the interaction of congruency and frequency;and(3)the interactive effect of L2 proficiency in conjunction with congruency and frequency also influences the processing quality.
文摘We investigated the effects of handedness on developing latent cognitive response strategies according to situation variables. We used the findings of the block-wise Proportion Congruency (PC) effect in which the proportion of congruent trials in a given block modulates the compatibility effect in its block. The block-wise PC effect cannot be intentionally controlled. A Simon task with three different types of Proportion Congruency (PC) in a given block was used to measure the block-wise PC effects. This task was administered to 24 left-handed and 24 right-handed participants. The reaction time and error rates, consistent with previous studies, demonstrated that the block-wise PC effect was observed in left- and right-handers. Crucially, the block-wise PC effect was more pronounced in left- than right-handers, suggesting that left- and right-handers unintentionally apply different cognitive strategies in response to conflict resolution experiences.
文摘Research into the concept of attraction has indicated the existence of olfactory influences that go beyond pheromonal level. Synthetic fragrances have been found to affect not only perception of attraction, but also attribution of beauty-unrelated intrinsic characteristics. The present study aimed to examine the impact of perfume-gender congruency on ratings of attractiveness and any perfume-generated halo effect. Male faces categorized as low, medium and high attractiveness were rated by 36 heterosexual female students across six domains: attractive, reliable, outgoing, intelligent, wealthy and socially competent. Ratings were made in the presence of a female perfume (incongruent condition), male perfume (congruent condition) or a no perfume control condition, with participants randomly allocated to produce three groups of equal size. The results indicated that 1) attractiveness generated a significant halo effect;2) the male perfume did not significantly enhance perception of attractiveness compared to the female perfume;and 3) the gender-congruent fragrance heightened attribution of “halo” characteristics. These results indicate that gender congruent perfume can impact positively on first impressions beyond attractiveness, and are discussed in terms of possible mechanisms and implications.
基金supported by the Talent Fund of Beijing Jiaotong University(No.2020RC012)NSFC(No.11871295),supported by NSFC(No.11971476),supported by NSFC(No.12071421)。
文摘Let d(n;r_(1),q_(1),r_(2),q_(2))be the number of factorization n=n_(1)n_(2)satisfying n_i≡r_i(mod q_i)(i=1,2)andΔ(x;r_(1),q_(1),r_(2),q_(2))be the error term of the summatory function of d(n;r_(1),q_(1),r_(2),q_(2)).Suppose x≥(q_(1)q_(2))^(1+ε),1≤r_i≤q_i,and(r_i,q_i)=1(i=1,2).This paper studies the power moments and sign changes ofΔ(x;r_(1),q_(1),r_(2),q_(2)).We prove that for sufficiently large constant C,Δ(q_(1)q_(2)x:r_(1),q_(1),r_(2),q_(2))changes sign in the interval[T,T+C√T]for any large T.Meanwhile,we show that for small constants c and c,there exist infinitely many subintervals of length c√log^(-7)T in[T,2T]where±Δ(q_(1)q_(2)x:r_(1),q_(1),r_(2),q_(2))>cx^(1/4)always holds.
基金supported by the National Natural Science Foundation of China(No.12301425)。
文摘Let G be a finite group and d a positive integer.Let s_(dN)(G)denote the smallest positive integer l such that every sequence over G of length at least l contains a nonempty product-one subsequence T with|T|≡0(mod d).This paper studies s_(dN)(D_(2n))for the dihedral group D_(2n) and shows that when n=2^(r) with r≥3,the equality s_(dN)(D_(2n))=lcm(n,d)+gcd(n,d)holds.
基金supported by the National Key Program of Research and Development,Ministry of Science and Technology(2022YFF1301401,2022YFF0802300)National Natural Science Foundation of China(32370553)+3 种基金Second Tibetan Plateau Scientific Expedition and Research Program(STEP,2019QZKK0501)China Biodiversity Observation Networks(Sino BON)Fundamental Research Funds for the Central Universities(SWU-KR24004)Scientific Research Innovation Project of Graduate Student of Southwest University(SWUB23080)。
文摘Life-history traits represent evolutionary adaptations that mediate responses to external environments.Analyzing variation in these traits provides valuable insights into macroecological processes and supports the development of effective conservation and restoration strategies.However,large-scale biogeographic patterns in life-history trait diversity among terrestrial vertebrates remain insufficiently characterized,and the processes shaping these patterns are not well understood.This study integrated life-history and spatial distribution data for 2334 terrestrial vertebrate species in China,including 398 amphibians,211 reptiles,541 mammals,and 1184 birds,to evaluate spatial patterns of trait diversity and identify underlying drivers.Assemblages in South and Southwest China exhibited high species richness,substantial assemblage-level evolutionary distinctiveness,expanded trait volumes,and elevated trait densities compared to null expectations,indicating roles as both evolutionary museums and cradles.In contrast,assemblages on the Tibetan Plateau showed expanded trait volumes but low trait densities,reflecting niche expansion among limited taxa.These findings emphasize the importance of niche packing before assemblages reach environmental carrying limits.Assemblages with high evolutionary distinctiveness tended to display high trait volumes and low trait densities,suggesting a consistent relationship between phylogenetic structure and functional diversification.Among the four groups,amphibians showed the highest sensitivity to environmental variation,highlighting the need for focused conservation efforts.Overall,this study revealed pronounced spatial heterogeneity in trait diversity across China,shaped by species richness,evolutionary distinctiveness,and environmental variation,providing valuable insights for refining conservation priorities for terrestrial vertebrate taxa.
文摘Attention allocation research frequently focuses on the valence of emotion. However, there is increasing evidence to indicate that arousal may be more relevant at some stages of affective processing. The present study employed a combined priming and cue-target paradigm and examined event-related potentials (ERPs) in order to explore the effects of emotional conflict of arousal on attention allocation. The background context of arousal was manipulated (using photos of facial expressions) while subjects performed a cognitive task in which a central arrow cue indicated the location of a peripheric target square, and a response was made according to the direction of the square. There was no main effect between incongruent emotion and congruent emotion in the response time, which means the resolution of the emotional conflict facilitate the participant behavioral response. There was a main effect of different emotional states on ERP component. In the present study, incongruent arousal also triggered greater positive potential compared with congruent arousal.
文摘In order to apply the deep learning to the stereo image quality evaluation,two problems need to be solved:The first one is that we have a bit of training samples,another is how to input the dimensional image’s left view or right view.In this paper,we transfer the 2D image quality evaluation model to the stereo image quality evaluation,and this method solves the first problem;use the method of principal component analysis is used to fuse the left and right views into an input image in order to solve the second problem.At the same time,the input image is preprocessed by phase congruency transformation,which further improves the performance of the algorithm.The structure of the deep convolution neural network consists of four convolution layers and three maximum pooling layers and two fully connected layers.The experimental results on LIVE3D image database show that the prediction quality score of the model is in good agreement with the subjective evaluation value.
文摘The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed. The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quaternion matrix. It is proved that any two semi-positive definite Hermitian quaternion matrices can be simultaneously diagonalized by congruence.
文摘Tracking moving target from image or video sequence is a hot research topic in computer vision. An algorithm based on LogGabor wavelet and Mean-shift has been proposed for moving target tracking under fixed camera setting and complicated environment. Phase coherency of LogGabor wavelet facilitates to extract the edge of moving target and check noise. According to the edge detection,the starting location of Mean-shift can be estimated using the target center coordinate. Eventually,a real-time moving target can be extracted by doing iterative matching pursuit,and experimental results proved the effectiveness of the method proposed.
基金the Natural Science Foundation of Hubei Province
文摘In this article, for any a in the MS-algebra L, the author considers the con- gruence of the form defined by （x,y） ∈θa→←x∧a°° = y ∧a° and x ∨ a°° = y ∨ a°°. A characterization of subdirectly irreducible MS-algebras is given and it is also proved that the union of two principal congruences having this form is a principal congruence if and only if L ∈ K2 ∨ K3.
文摘In this paper, we describe all the divisible semiring congruences on a distributive semiring S and also establish a one_to_one, inclusion_preserving mapping from the set of full, closed, self_conjagate, ideal subsemirings of S to the set of all divisible semiring congruences on S.
基金Supported by the National Natural Science Foundation of China(No.61173052)the Natural Science Foundation of Hunan Province(No.14JJ4007)
文摘In the quotient space theory of granular computing,the universe structure is assumed to be a topology,therefore,its application is still limited.In this study,based on the quotient space model,the universe structure is assumed as an algebra instead of a topology.As to obtain the algebraic quotient operator,the granulation must be uniquely determined by a congruence relation,and all the congruence relations form a complete semi-order lattice,which is the theoretical basis of granularities ' completeness.When the given equivalence relation is not a congruence relation,it defines the concepts of upper quotient and lower quotient,and discusses some of their properties which demonstrate that falsity preserving principle and truth preserving principle are still valid.Finally,it presents the algorithms and example of upper quotient and lower quotient.The work extends the quotient space theory from structure,and provides theoretical basis for the combination of the quotient space theory and the algebra theory.
文摘In this paper a novel class of neural networks called generalized congruence neural networks (GCNN) is proposed. All neurons in the neural networks are activated in the form of congruence. The architectures, learning rules and two algorithms are presented. Simulation results indicate that such network has satisfactory generalization properties near the sample points. Since this kind of neural nets can be easily operated and implemented, it is appropriate to make further research concerning the theory and applications of GCNN.
文摘In this paper,we propose a solution based on four-qubit Aharonov state to an old problem by using the property of congruence.The proposed scheme may realize the broadcast among four participants,therefore,it makes progress to the three-party broadcast realized previously.Using pairwise quantum channels and entangled qubits,the detection between these players also can be accomplished.Finally,the feasibility of the protocol and the analysis of security are illustrated.
文摘The authors consider the extended Hecke groups H(γq) generated by T(z) = -1 / z, S(z) = -1(z +γq) and R(z) = 1 / z with A, = 2 cos(π/q) for q≥3 an integer. In this paper, the even subgroup He(γq), the second commutator subgroup H''(γq) and the principal congruence subgroups Hp(λq) of the extended Hecke groups .H(γq) are studied. Also, relations between them are given.
文摘Algebras whose congruences are permutable were investigated by a number of authors in the literature. In this paper, we study the symmetric extended MS-algebras whose congruences are permutable. Some results obtained by Jie Fang on symmetric extended De Morgan algebras are generalized.
