An outer loop power control algorithm based on triangle norm(t-norm) information fusion technology is proposed in this paper.According to the difference between block error rate and bit error rate with target values,t...An outer loop power control algorithm based on triangle norm(t-norm) information fusion technology is proposed in this paper.According to the difference between block error rate and bit error rate with target values,the membership function calculation and level dividing of the two differences are dealt with.And then t-norm operator is used to fuse the two membership function values to determine the adjustment step-size.The algorithm can acquire the optimal adjustment step-size in the light of the channel status and avoid the overshoot phenomenon of the existing outer power control methods.As a result,the block error rate can converge to the target value quickly.Experiment results verify the excellent property of the algorithm.展开更多
In this papr, we introduce the notion ofT-fuzzy M-subsemigroups of M-semigroups by using a t-norm T and obtain some interesting properties. Further we show that the direct product of a T-fuzzy M-subsemigroup of R and ...In this papr, we introduce the notion ofT-fuzzy M-subsemigroups of M-semigroups by using a t-norm T and obtain some interesting properties. Further we show that the direct product of a T-fuzzy M-subsemigroup of R and a fuzzy M-subsemigroup of S is a T-fuzzy M-subsemigroup of M, Moreover, we prove that T-fuzzy M-subsemigroup of M is exhibited as the direct product of T-fuzzy M-subsemigroups of R and S respectively.展开更多
Dynamic fault tree analysis is widely used for the reliability analysis of the complex system with dynamic failure characteristics. In many circumstances, the exact value of system reliability is difficult to obtain d...Dynamic fault tree analysis is widely used for the reliability analysis of the complex system with dynamic failure characteristics. In many circumstances, the exact value of system reliability is difficult to obtain due to absent or insufficient data for failure probabilities or failure rates of components. The traditional fuzzy operation arithmetic based on extension principle or interval theory may lead to fuzzy accumulations. Moreover, the existing fuzzy dynamic fault tree analysis methods are restricted to the case that all system components follow exponential time-to-failure distributions. To overcome these problems, a new fuzzy dynamic fault tree analysis approach based on the weakest n-dimensional t-norm arithmetic and developed sequential binary decision diagrams method is proposed to evaluate system fuzzy reliability. Compared with the existing approach,the proposed method can effectively reduce fuzzy cumulative and be applicable to any time-tofailure distribution type for system components. Finally, a case study is presented to illustrate the application and advantages of the proposed approach.展开更多
A t-norm fuzzy logic is presented, in which a triangular norm (t-norm) plays the role of a graduated conjunction operator. Based on this fuzzy logic we develop methods for fuzzy reasoning in which antecedents and cons...A t-norm fuzzy logic is presented, in which a triangular norm (t-norm) plays the role of a graduated conjunction operator. Based on this fuzzy logic we develop methods for fuzzy reasoning in which antecedents and consequents involve fuzzy conditional propositions of the form “If x is A then y is B”, with A and B being fuzzy concepts (fuzzy sets). In this study, we present a systemic approach toward fuzzy logic formalization for approximate reasoning. We examine statistical characteristics of the proposed fuzzy logic. As the matter of practical interest, we construct a set of fuzzy conditional inference rules on the basis of the proposed fuzzy logic. Important features of these rules are investigated.展开更多
Dung’s theory of argumentation frameworks (AF) has been applied in many fields of artificial intelligence. The arguments and attack relation are generally partly believed due to the uncertainty in the process of mini...Dung’s theory of argumentation frameworks (AF) has been applied in many fields of artificial intelligence. The arguments and attack relation are generally partly believed due to the uncertainty in the process of mining them. Fuzzy AFs catch uncertainty in AFs by associating fuzzy degrees with the arguments or the attacks. Among the various semantics of fuzzy AFs, the comparative semantics develops and defines Dung’s extensions in the form of fuzzy sets. However, the comparative semantic system only puts forward some basic concepts, and has not been deeply studied in terms of algorithms and properties. This paper studies the comparative semantics of fuzzy AFs based on the Łukasiewicz t-norm in a more in-depth and comprehensive manner. This work is not only a supplement and improvement to comparative semantic in theory, but also beneficial to the calculation and fast identification of its various extensions (based on the Łukasiewicz t-norm).展开更多
三I推理方法是一种新的模糊推理方法,通过已有的研究成果表明,在许多方面它优于传统的CRI推理方法,它将成为模糊系统和人工智能的理论和应用研究中一个比较理想的推理机制。最近,国外学者提出了一个新的模糊逻辑形式系统,叫做Monoidal t...三I推理方法是一种新的模糊推理方法,通过已有的研究成果表明,在许多方面它优于传统的CRI推理方法,它将成为模糊系统和人工智能的理论和应用研究中一个比较理想的推理机制。最近,国外学者提出了一个新的模糊逻辑形式系统,叫做Monoidal t-norm based logics(简记为MTL),已经证明这个形式系统是所有基于左连续三角范数的模糊逻辑的共同形式化。本文基于这类逻辑将三I推理方法形式化,从而在这些逻辑系统中为三推理方法找到了可靠的逻辑依据。展开更多
In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the result...In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.展开更多
Based on the residual implication of continuous triangular norms,we obtain the expression of residual operator for extended operators(type-2 triangular norms)of continuous triangular norms on convex normal upper semi-...Based on the residual implication of continuous triangular norms,we obtain the expression of residual operator for extended operators(type-2 triangular norms)of continuous triangular norms on convex normal upper semi-continuous fuzzy truth values,answering an open problem in[D.LI,Inf.Sci.,2015,317:259-277].展开更多
The purpose of this paper is to introduce the coneept of (Φ,△)-type probabilistic contractor in Menger PN-spaces and to study the existence and uniqueness of solutions for the nonlinear operator equations with such ...The purpose of this paper is to introduce the coneept of (Φ,△)-type probabilistic contractor in Menger PN-spaces and to study the existence and uniqueness of solutions for the nonlinear operator equations with such probabilistic contractor in Menger PN-spaces.The results presented in this paper improve and extend the corresponding results in [1] and [4-8].展开更多
In the present paper, we show that there exists a unique common fixed point for four self maps in a fuzzy metric space where two of the maps are reciprocally continuous and the other two maps are z-asymptotically comm...In the present paper, we show that there exists a unique common fixed point for four self maps in a fuzzy metric space where two of the maps are reciprocally continuous and the other two maps are z-asymptotically commuting.展开更多
Dual hesitant fuzzy set （DHFS） is a new generalization of fuzzy set （FS） consisting of two parts （i.e., the membership hesitancy function and the non-membership hesitancy fimction）, which confronts several diffe...Dual hesitant fuzzy set （DHFS） is a new generalization of fuzzy set （FS） consisting of two parts （i.e., the membership hesitancy function and the non-membership hesitancy fimction）, which confronts several different possible values indicating the epistemic degrees whether certainty or uncertainty. It encompasses fuzzy set （FS）, intuitionistic fuzzy set （IFS）, and hesitant fuzzy set （HFS） so that it can handle uncertain information more flexibly in the process of decision making. In this paper, we propose some new operations on dual hesitant fuzzy sets based on Einstein t-eonorm and t-norm, study their properties and relationships and then give some dual hesitant fuzzy aggregation operators, which can be considered as the generalizations of some existing ones under fuzzy, intuitionistic fuzzy and hesitant fuzzy environments. Finally, a decision making algorithm under dual hesitant fuzzy environment is given based on the proposed aggregation operators and a numerical example is used to demonstrate the effectiveness of the method.展开更多
Based on the Schweizer-Sklar t-norm, a fuzzy logic system UL^＊ is established, and its soundness theorem and completeness theorem are proved. The following facts are pointed out＂ the well-known formal system SBL~ is...Based on the Schweizer-Sklar t-norm, a fuzzy logic system UL^＊ is established, and its soundness theorem and completeness theorem are proved. The following facts are pointed out＂ the well-known formal system SBL~ is a semantic extension of UL^＊; the fuzzy logic system IMTL△ is a special case of UL^＊ when two negations in UL^＊ coincide. Moreover, the connections between the system UL^＊ and some fuzzy logic formal systems are investigated. Finally, starting from the concepts of ＂the strength of an‘AND＇ operator＂ by R.R. Yager and ＂the strength of fuzzy rule interaction＂ by T. Whalen, the essential meaning of a parameter p in UL^＊ is explained and the use of fuzzy logic system UL^＊ in approximate reasoning is presented.展开更多
1. Introduction In [1], let (E, F)be a probabilistic metric (PM) space, and then (E. F, T_W) be a generalized Menger (GM) space, where T_W(a, b)= It follows that all Menger’s triangle inequalities can be given with G...1. Introduction In [1], let (E, F)be a probabilistic metric (PM) space, and then (E. F, T_W) be a generalized Menger (GM) space, where T_W(a, b)= It follows that all Menger’s triangle inequalities can be given with GM spaces. However, the weak t-norm展开更多
Purpose-Gathering,analyzing and securing electronic data from various digital devices for use in legal or investigative procedures is the key process of computer forensics.Information retrieved from servers,hard drive...Purpose-Gathering,analyzing and securing electronic data from various digital devices for use in legal or investigative procedures is the key process of computer forensics.Information retrieved from servers,hard drives,cellphones,tablets and other devices is all included in this.This article tackles the challenging problem of how to prioritize different kinds of computer forensics and figure out which kind is most useful in cases of cybercrime,fraud,theft of intellectual property,harassment and espionage.Design/methodology/approach-Therefore,we first introduce enhanced versions of Hamacher power aggregation operators(AOs)within the framework of bipolar complex fuzzy(BCF)sets.These include BCF Hamacher power averaging(BCFHPA),BCF Hamacher power-weighted averaging(BCFHPWA),BCF Hamacher power-ordered weighted averaging(BCFHPOWA),BCF Hamacher power geometric(BCFHPG),BCF Hamacher power-weighted geometric(BCFHPWG)and BCF Hamacher power-ordered-weighted geometric(BCFHPOWG)operators.Employing the devised AOs,we devise a technique of decision-making(DM)for dealing with DM dilemmas with the BCF set(BCFS).Findings-We prioritize different types of computer forensic by taking artificial data in a numerical example and getting the finest computer forensic.Further,by this example,we reveal the applicability of the proposed theory.This work provides a more elaborate and versatile procedure for classifying computer forensics with dual aspects of criteria and extra fuzzy information.It allows for better and less biased DM in the more intricate digital investigations,which may lead to better DM and time-saving in real-life forensic scenarios.To demonstrate the significance and impression of the devised operators and techniques of DM,they are compared with existing ones.Originality/value-This research is the first to combine Hamacher and power AOs in BCFS for computer forensics DM.It presents new operators and a DM approach that is not encountered in the existing literature and is specifically designed to deal with the challenges and risks associated with the classification of computer forensics.The framework’s capacity to accommodate bipolar criteria and extra fuzzy information is a major development in the field of digital forensics and decision science.展开更多
文摘An outer loop power control algorithm based on triangle norm(t-norm) information fusion technology is proposed in this paper.According to the difference between block error rate and bit error rate with target values,the membership function calculation and level dividing of the two differences are dealt with.And then t-norm operator is used to fuse the two membership function values to determine the adjustment step-size.The algorithm can acquire the optimal adjustment step-size in the light of the channel status and avoid the overshoot phenomenon of the existing outer power control methods.As a result,the block error rate can converge to the target value quickly.Experiment results verify the excellent property of the algorithm.
基金the Natural Foundation of Education Committee of Hubei Province (2004Z002, D200529001)
文摘In this papr, we introduce the notion ofT-fuzzy M-subsemigroups of M-semigroups by using a t-norm T and obtain some interesting properties. Further we show that the direct product of a T-fuzzy M-subsemigroup of R and a fuzzy M-subsemigroup of S is a T-fuzzy M-subsemigroup of M, Moreover, we prove that T-fuzzy M-subsemigroup of M is exhibited as the direct product of T-fuzzy M-subsemigroups of R and S respectively.
基金supported by the National Defense Basic Scientific Research program of China (No.61325102)
文摘Dynamic fault tree analysis is widely used for the reliability analysis of the complex system with dynamic failure characteristics. In many circumstances, the exact value of system reliability is difficult to obtain due to absent or insufficient data for failure probabilities or failure rates of components. The traditional fuzzy operation arithmetic based on extension principle or interval theory may lead to fuzzy accumulations. Moreover, the existing fuzzy dynamic fault tree analysis methods are restricted to the case that all system components follow exponential time-to-failure distributions. To overcome these problems, a new fuzzy dynamic fault tree analysis approach based on the weakest n-dimensional t-norm arithmetic and developed sequential binary decision diagrams method is proposed to evaluate system fuzzy reliability. Compared with the existing approach,the proposed method can effectively reduce fuzzy cumulative and be applicable to any time-tofailure distribution type for system components. Finally, a case study is presented to illustrate the application and advantages of the proposed approach.
文摘A t-norm fuzzy logic is presented, in which a triangular norm (t-norm) plays the role of a graduated conjunction operator. Based on this fuzzy logic we develop methods for fuzzy reasoning in which antecedents and consequents involve fuzzy conditional propositions of the form “If x is A then y is B”, with A and B being fuzzy concepts (fuzzy sets). In this study, we present a systemic approach toward fuzzy logic formalization for approximate reasoning. We examine statistical characteristics of the proposed fuzzy logic. As the matter of practical interest, we construct a set of fuzzy conditional inference rules on the basis of the proposed fuzzy logic. Important features of these rules are investigated.
文摘Dung’s theory of argumentation frameworks (AF) has been applied in many fields of artificial intelligence. The arguments and attack relation are generally partly believed due to the uncertainty in the process of mining them. Fuzzy AFs catch uncertainty in AFs by associating fuzzy degrees with the arguments or the attacks. Among the various semantics of fuzzy AFs, the comparative semantics develops and defines Dung’s extensions in the form of fuzzy sets. However, the comparative semantic system only puts forward some basic concepts, and has not been deeply studied in terms of algorithms and properties. This paper studies the comparative semantics of fuzzy AFs based on the Łukasiewicz t-norm in a more in-depth and comprehensive manner. This work is not only a supplement and improvement to comparative semantic in theory, but also beneficial to the calculation and fast identification of its various extensions (based on the Łukasiewicz t-norm).
文摘三I推理方法是一种新的模糊推理方法,通过已有的研究成果表明,在许多方面它优于传统的CRI推理方法,它将成为模糊系统和人工智能的理论和应用研究中一个比较理想的推理机制。最近,国外学者提出了一个新的模糊逻辑形式系统,叫做Monoidal t-norm based logics(简记为MTL),已经证明这个形式系统是所有基于左连续三角范数的模糊逻辑的共同形式化。本文基于这类逻辑将三I推理方法形式化,从而在这些逻辑系统中为三推理方法找到了可靠的逻辑依据。
基金Project supported by the Natural Science Foundation of Yibin University (No. 2009Z01)
文摘In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.
基金Supported by the Natural Science Foundation of Sichuan Province(Grant No.2022NSFSC1821)the National Natural Science Foundation of China(Grant No.12261018)+2 种基金Universities Key Laboratory of Mathematical Modeling and Data Mining in Guizhou Province(Grant No.2023013)High Level Innovative Talent Training Plan Project of Guizhou Province(Grant No.GCC[2023]006)the Key Natural Science Foundation of Universities in Guangdong Province(Grant No.2019KZDXM027)。
文摘Based on the residual implication of continuous triangular norms,we obtain the expression of residual operator for extended operators(type-2 triangular norms)of continuous triangular norms on convex normal upper semi-continuous fuzzy truth values,answering an open problem in[D.LI,Inf.Sci.,2015,317:259-277].
文摘The purpose of this paper is to introduce the coneept of (Φ,△)-type probabilistic contractor in Menger PN-spaces and to study the existence and uniqueness of solutions for the nonlinear operator equations with such probabilistic contractor in Menger PN-spaces.The results presented in this paper improve and extend the corresponding results in [1] and [4-8].
文摘In the present paper, we show that there exists a unique common fixed point for four self maps in a fuzzy metric space where two of the maps are reciprocally continuous and the other two maps are z-asymptotically commuting.
文摘Dual hesitant fuzzy set （DHFS） is a new generalization of fuzzy set （FS） consisting of two parts （i.e., the membership hesitancy function and the non-membership hesitancy fimction）, which confronts several different possible values indicating the epistemic degrees whether certainty or uncertainty. It encompasses fuzzy set （FS）, intuitionistic fuzzy set （IFS）, and hesitant fuzzy set （HFS） so that it can handle uncertain information more flexibly in the process of decision making. In this paper, we propose some new operations on dual hesitant fuzzy sets based on Einstein t-eonorm and t-norm, study their properties and relationships and then give some dual hesitant fuzzy aggregation operators, which can be considered as the generalizations of some existing ones under fuzzy, intuitionistic fuzzy and hesitant fuzzy environments. Finally, a decision making algorithm under dual hesitant fuzzy environment is given based on the proposed aggregation operators and a numerical example is used to demonstrate the effectiveness of the method.
基金This work was supported by the National Natural Science Foundation of China （Grant Nos. 60273087 and 60474022）the Zhejiang Provincial Natural Science Foundation of China （Grant No. Y605389）.
文摘Based on the Schweizer-Sklar t-norm, a fuzzy logic system UL^＊ is established, and its soundness theorem and completeness theorem are proved. The following facts are pointed out＂ the well-known formal system SBL~ is a semantic extension of UL^＊; the fuzzy logic system IMTL△ is a special case of UL^＊ when two negations in UL^＊ coincide. Moreover, the connections between the system UL^＊ and some fuzzy logic formal systems are investigated. Finally, starting from the concepts of ＂the strength of an‘AND＇ operator＂ by R.R. Yager and ＂the strength of fuzzy rule interaction＂ by T. Whalen, the essential meaning of a parameter p in UL^＊ is explained and the use of fuzzy logic system UL^＊ in approximate reasoning is presented.
文摘1. Introduction In [1], let (E, F)be a probabilistic metric (PM) space, and then (E. F, T_W) be a generalized Menger (GM) space, where T_W(a, b)= It follows that all Menger’s triangle inequalities can be given with GM spaces. However, the weak t-norm
基金funded by the Ningbo Natural Science Foundation(No:2023J101).
文摘Purpose-Gathering,analyzing and securing electronic data from various digital devices for use in legal or investigative procedures is the key process of computer forensics.Information retrieved from servers,hard drives,cellphones,tablets and other devices is all included in this.This article tackles the challenging problem of how to prioritize different kinds of computer forensics and figure out which kind is most useful in cases of cybercrime,fraud,theft of intellectual property,harassment and espionage.Design/methodology/approach-Therefore,we first introduce enhanced versions of Hamacher power aggregation operators(AOs)within the framework of bipolar complex fuzzy(BCF)sets.These include BCF Hamacher power averaging(BCFHPA),BCF Hamacher power-weighted averaging(BCFHPWA),BCF Hamacher power-ordered weighted averaging(BCFHPOWA),BCF Hamacher power geometric(BCFHPG),BCF Hamacher power-weighted geometric(BCFHPWG)and BCF Hamacher power-ordered-weighted geometric(BCFHPOWG)operators.Employing the devised AOs,we devise a technique of decision-making(DM)for dealing with DM dilemmas with the BCF set(BCFS).Findings-We prioritize different types of computer forensic by taking artificial data in a numerical example and getting the finest computer forensic.Further,by this example,we reveal the applicability of the proposed theory.This work provides a more elaborate and versatile procedure for classifying computer forensics with dual aspects of criteria and extra fuzzy information.It allows for better and less biased DM in the more intricate digital investigations,which may lead to better DM and time-saving in real-life forensic scenarios.To demonstrate the significance and impression of the devised operators and techniques of DM,they are compared with existing ones.Originality/value-This research is the first to combine Hamacher and power AOs in BCFS for computer forensics DM.It presents new operators and a DM approach that is not encountered in the existing literature and is specifically designed to deal with the challenges and risks associated with the classification of computer forensics.The framework’s capacity to accommodate bipolar criteria and extra fuzzy information is a major development in the field of digital forensics and decision science.
