Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com.
Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com,I am the director of the ...Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com,I am the director of the Singapore Chinese Opera Museum.The museum,nestled in a serene neighborhood distinguished by its Southeast Asian architectural charm,chronicles Chinese opera’s centuries-long journey.展开更多
What is special about the sky bridge near Qingjing Farm?Qingjing Farm in Nantou is a popular place to visit.Every year,it has a Sheep Run Festival!Thousands of visitors go each year to cheer on their favorite sheep an...What is special about the sky bridge near Qingjing Farm?Qingjing Farm in Nantou is a popular place to visit.Every year,it has a Sheep Run Festival!Thousands of visitors go each year to cheer on their favorite sheep and take pictures as they run down the mountain roads.People can enjoy many performances,games and activities during the festival,too.展开更多
Satellite image segmentation plays a crucial role in remote sensing,supporting applications such as environmental monitoring,land use analysis,and disaster management.However,traditional segmentation methods often rel...Satellite image segmentation plays a crucial role in remote sensing,supporting applications such as environmental monitoring,land use analysis,and disaster management.However,traditional segmentation methods often rely on large amounts of labeled data,which are costly and time-consuming to obtain,especially in largescale or dynamic environments.To address this challenge,we propose the Semi-Supervised Multi-View Picture Fuzzy Clustering(SS-MPFC)algorithm,which improves segmentation accuracy and robustness,particularly in complex and uncertain remote sensing scenarios.SS-MPFC unifies three paradigms:semi-supervised learning,multi-view clustering,and picture fuzzy set theory.This integration allows the model to effectively utilize a small number of labeled samples,fuse complementary information from multiple data views,and handle the ambiguity and uncertainty inherent in satellite imagery.We design a novel objective function that jointly incorporates picture fuzzy membership functions across multiple views of the data,and embeds pairwise semi-supervised constraints(must-link and cannot-link)directly into the clustering process to enhance segmentation accuracy.Experiments conducted on several benchmark satellite datasets demonstrate that SS-MPFC significantly outperforms existing state-of-the-art methods in segmentation accuracy,noise robustness,and semantic interpretability.On the Augsburg dataset,SS-MPFC achieves a Purity of 0.8158 and an Accuracy of 0.6860,highlighting its outstanding robustness and efficiency.These results demonstrate that SSMPFC offers a scalable and effective solution for real-world satellite-based monitoring systems,particularly in scenarios where rapid annotation is infeasible,such as wildfire tracking,agricultural monitoring,and dynamic urban mapping.展开更多
An image processing and deep learning method for identifying different types of rock images was proposed.Preprocessing,such as rock image acquisition,gray scaling,Gaussian blurring,and feature dimensionality reduction...An image processing and deep learning method for identifying different types of rock images was proposed.Preprocessing,such as rock image acquisition,gray scaling,Gaussian blurring,and feature dimensionality reduction,was conducted to extract useful feature information and recognize and classify rock images using Tensor Flow-based convolutional neural network(CNN)and Py Qt5.A rock image dataset was established and separated into workouts,confirmation sets,and test sets.The framework was subsequently compiled and trained.The categorization approach was evaluated using image data from the validation and test datasets,and key metrics,such as accuracy,precision,and recall,were analyzed.Finally,the classification model conducted a probabilistic analysis of the measured data to determine the equivalent lithological type for each image.The experimental results indicated that the method combining deep learning,Tensor Flow-based CNN,and Py Qt5 to recognize and classify rock images has an accuracy rate of up to 98.8%,and can be successfully utilized for rock image recognition.The system can be extended to geological exploration,mine engineering,and other rock and mineral resource development to more efficiently and accurately recognize rock samples.Moreover,it can match them with the intelligent support design system to effectively improve the reliability and economy of the support scheme.The system can serve as a reference for supporting the design of other mining and underground space projects.展开更多
The transmission of Ben Cao Gang Mu(《本草纲目》The Grand Compendium of Materia Medica)to Japan in the early 17th century significantly influenced the development of Japanese herbalism.Inspired by materia medica illus...The transmission of Ben Cao Gang Mu(《本草纲目》The Grand Compendium of Materia Medica)to Japan in the early 17th century significantly influenced the development of Japanese herbalism.Inspired by materia medica illustrations in this work,herbalists during the Edo period(1603-1867)recognized the importance of images in herbal literature and created a series of illustrated texts.In the early Edo,materia medica illustrations primarily imitated or referenced Chinese illustrations.Singular picturing techniques,a lack of accuracy,and a reliance on limited object references characterized these works.However,starting in the 18th century,with the support and promotion of the Edo Shogunate,herbalists,naturalists,and illustrators conducted field surveys and picturings of natural products in Japan and neighboring nations.This effort led to a trend of picturing based on nature.As a result,the illustrations in herbal literature from the mid-Edo period began to exhibit a distinct realistic painting style.This development became essential for verifying names and realities in Japanese herbal studies.Furthermore,the knowledge of botany and natural history during this time influenced the creation of herbal illustrations,paving the way for the differentiation of Japanese herbalism in the later Edo period.展开更多
Multi-view clustering is a critical research area in computer science aimed at effectively extracting meaningful patterns from complex,high-dimensional data that single-view methods cannot capture.Traditional fuzzy cl...Multi-view clustering is a critical research area in computer science aimed at effectively extracting meaningful patterns from complex,high-dimensional data that single-view methods cannot capture.Traditional fuzzy clustering techniques,such as Fuzzy C-Means(FCM),face significant challenges in handling uncertainty and the dependencies between different views.To overcome these limitations,we introduce a new multi-view fuzzy clustering approach that integrates picture fuzzy sets with a dual-anchor graph method for multi-view data,aiming to enhance clustering accuracy and robustness,termed Multi-view Picture Fuzzy Clustering(MPFC).In particular,the picture fuzzy set theory extends the capability to represent uncertainty by modeling three membership levels:membership degrees,neutral degrees,and refusal degrees.This allows for a more flexible representation of uncertain and conflicting data than traditional fuzzy models.Meanwhile,dual-anchor graphs exploit the similarity relationships between data points and integrate information across views.This combination improves stability,scalability,and robustness when handling noisy and heterogeneous data.Experimental results on several benchmark datasets demonstrate significant improvements in clustering accuracy and efficiency,outperforming traditional methods.Specifically,the MPFC algorithm demonstrates outstanding clustering performance on a variety of datasets,attaining a Purity(PUR)score of 0.6440 and an Accuracy(ACC)score of 0.6213 for the 3 Sources dataset,underscoring its robustness and efficiency.The proposed approach significantly contributes to fields such as pattern recognition,multi-view relational data analysis,and large-scale clustering problems.Future work will focus on extending the method for semi-supervised multi-view clustering,aiming to enhance adaptability,scalability,and performance in real-world applications.展开更多
Apps can help you in your daily life.For example,the app Kiwake helps you wake up.Its special alarm won't turn off until you do three things.You must take a picture of something far from your bed.Then play a short...Apps can help you in your daily life.For example,the app Kiwake helps you wake up.Its special alarm won't turn off until you do three things.You must take a picture of something far from your bed.Then play a short game to wake up your mind.After that,you must review your goals for the day.展开更多
Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com I’m a British-Irish auth...Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com I’m a British-Irish author now living in Belgium,where I work as a staff travel writer for Travel Tomorrow.展开更多
I.Look and say something about the pictures.Li Li:What's this in English,Jerry?Jerry:It is a boat.Li Li:Is that a boat in English,Jerry?Jerry:No,it isn't.It is a ship in English.L Li Li:I see.Thank you.Jerry:Y...I.Look and say something about the pictures.Li Li:What's this in English,Jerry?Jerry:It is a boat.Li Li:Is that a boat in English,Jerry?Jerry:No,it isn't.It is a ship in English.L Li Li:I see.Thank you.Jerry:You're welcome.展开更多
The Han-shan and Shi-de story,which spread to Japan around the 11th century,has given rise to many literary works in later times.The Japanese picture book Kanzan and Jittoku by Nagamatsu Yōko and Komai Keiko is a goo...The Han-shan and Shi-de story,which spread to Japan around the 11th century,has given rise to many literary works in later times.The Japanese picture book Kanzan and Jittoku by Nagamatsu Yōko and Komai Keiko is a good example.However,the picture book,which serves as a window on the cultural resonance of the Han-shan and Shi-de story,has not received enough attention from researchers,compared with other forms of rewriting such as poetry,drama,or short stories.This article investigates the representation of Han-shan and Shi-de in the picture book,and examines how the authors have incorporated the preceding texts as raw material for their own.It is found that the transformation of Han-shan and Shi-de in the picture book stems from the authors’selective use of the preceding texts and their unique interpretation.LüQiuyin’s preface,Hakuin’s comments on Han-shan,as well as the authors’knowledge and experience are vital in shaping the characters.展开更多
Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com I am a reporter with Morg...Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com I am a reporter with Morgunblaðið(The Morning Paper),Iceland’s largest subscription newspaper.It was an honor of mine to write an article for China Today’s June issue.展开更多
Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com.
Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com.
Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com。
For any country,the availability of electricity is crucial to the development of the national economy and society.As a result,decision-makers and policy-makers can improve the sustainability and security of the energy...For any country,the availability of electricity is crucial to the development of the national economy and society.As a result,decision-makers and policy-makers can improve the sustainability and security of the energy supply by implementing a variety of actions by using the evaluation of these factors as an early warning system.This research aims to provide a multi-criterion decision-making(MCDM)method for assessing the sustainability and security of the electrical supply.The weights of criteria,which indicate their relative relevance in the assessment of the sustainability and security of the energy supply,the MCDM method allow users to express their opinions.To overcome the impact of uncertainty and vagueness of expert opinion,we explore the notion of picture fuzzy theory,which is a more efficient and dominant mathematical model.Recently,the theory of Aczel-Alsina operations has attained a lot of attraction and has an extensive capability to acquire smooth approximated results during the aggregation process.However,Choquet integral operators are more flexible and are used to express correlation among different attributes.This article diagnoses an innovative theory of picture fuzzy set to derive robust mathematical methodologies of picture fuzzy Choquet Integral Aczel-Alsina aggregation operators.To prove the intensity and validity of invented approaches,some dominant properties and special cases are also discussed.An intelligent decision algorithm for the MCDM problem is designed to resolve complicated real-life applications under multiple conflicting criteria.Additionally,we discussed a numerical example to investigate a suitable electric transformer under consideration of different beneficial key criteria.A comparative study is established to capture the superiority and effectiveness of pioneered mathematical approaches with existing methodologies.展开更多
While interval-valued picture fuzzy sets(IvPFSs)provide a powerful tool for modeling uncertainty and ambiguity in various fields,existing divergence measures for IvPFSs remain limited and often produce counterintuitiv...While interval-valued picture fuzzy sets(IvPFSs)provide a powerful tool for modeling uncertainty and ambiguity in various fields,existing divergence measures for IvPFSs remain limited and often produce counterintuitive results.To address these shortcomings,this paper introduces two novel divergencemeasures for IvPFSs,inspired by the Jensen-Shannon divergence.The fundamental properties of the proposed measures-non-degeneracy,symmetry,triangular inequality,and boundedness-are rigorously proven.Comparative analyses with existing measures are conducted through specific cases and numerical examples,clearly demonstrating the advantages of our approach.Furthermore,we apply the new divergence measures to develop an enhanced interval-valued picture fuzzy TOPSIS method for risk assessment in construction projects,showing the practical applicability and effectiveness of our contributions.展开更多
Ensuring a sustainable and eco-friendly environment is essential for promoting a healthy and balanced social life.However,decision-making in such contexts often involves handling vague,imprecise,and uncertain informat...Ensuring a sustainable and eco-friendly environment is essential for promoting a healthy and balanced social life.However,decision-making in such contexts often involves handling vague,imprecise,and uncertain information.To address this challenge,this study presents a novel multi-criteria decision-making(MCDM)approach based on picture fuzzy hypersoft sets(PFHSS),integrating the flexibility of Schweizer-Sklar triangular norm-based aggregation operators.The proposed aggregation mechanisms—weighted average and weighted geometric operators—are formulated using newly defined operational laws under the PFHSS framework and are proven to satisfy essential mathematical properties,such as idempotency,monotonicity,and boundedness.The decision-making model system-atically incorporates both benefit and cost-type criteria,enabling more nuanced evaluations in complex social or environmental decision problems.To enhance interpretability and practical relevance,the study conducts a sensitivity analysis on the Schweizer-Sklar parameter(Δ).The results show that varyingΔaffects the strictness of aggregation,thereby influencing the ranking stability of alternatives.A comparative analysis with existing fuzzy and hypersoft-based MCDM methods confirms the robustness,expressiveness,and adaptability of the proposed approach.Notably,the use of picture fuzzy sets allows for the inclusion of positive,neutral,and negative memberships,offering a richer representation of expert opinions compared to traditional models.A case study focused on green technology adoption for environmental sustainability illustrates the real-world applicability of the proposed method.The analysis confirms that the approach yields consistent and interpretable results,even under varying degrees of decision uncertainty.Overall,this work contributes an efficient and flexible MCDM tool that can support decision-makers in formulating policies aligned with sustainable and socially responsible outcomes.展开更多
文摘Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com.
文摘Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com,I am the director of the Singapore Chinese Opera Museum.The museum,nestled in a serene neighborhood distinguished by its Southeast Asian architectural charm,chronicles Chinese opera’s centuries-long journey.
文摘What is special about the sky bridge near Qingjing Farm?Qingjing Farm in Nantou is a popular place to visit.Every year,it has a Sheep Run Festival!Thousands of visitors go each year to cheer on their favorite sheep and take pictures as they run down the mountain roads.People can enjoy many performances,games and activities during the festival,too.
基金funded by the Research Project:THTETN.05/24-25,VietnamAcademy of Science and Technology.
文摘Satellite image segmentation plays a crucial role in remote sensing,supporting applications such as environmental monitoring,land use analysis,and disaster management.However,traditional segmentation methods often rely on large amounts of labeled data,which are costly and time-consuming to obtain,especially in largescale or dynamic environments.To address this challenge,we propose the Semi-Supervised Multi-View Picture Fuzzy Clustering(SS-MPFC)algorithm,which improves segmentation accuracy and robustness,particularly in complex and uncertain remote sensing scenarios.SS-MPFC unifies three paradigms:semi-supervised learning,multi-view clustering,and picture fuzzy set theory.This integration allows the model to effectively utilize a small number of labeled samples,fuse complementary information from multiple data views,and handle the ambiguity and uncertainty inherent in satellite imagery.We design a novel objective function that jointly incorporates picture fuzzy membership functions across multiple views of the data,and embeds pairwise semi-supervised constraints(must-link and cannot-link)directly into the clustering process to enhance segmentation accuracy.Experiments conducted on several benchmark satellite datasets demonstrate that SS-MPFC significantly outperforms existing state-of-the-art methods in segmentation accuracy,noise robustness,and semantic interpretability.On the Augsburg dataset,SS-MPFC achieves a Purity of 0.8158 and an Accuracy of 0.6860,highlighting its outstanding robustness and efficiency.These results demonstrate that SSMPFC offers a scalable and effective solution for real-world satellite-based monitoring systems,particularly in scenarios where rapid annotation is infeasible,such as wildfire tracking,agricultural monitoring,and dynamic urban mapping.
基金financially supported by the National Science and Technology Major Project——Deep Earth Probe and Mineral Resources Exploration(No.2024ZD1003701)the National Key R&D Program of China(No.2022YFC2905004)。
文摘An image processing and deep learning method for identifying different types of rock images was proposed.Preprocessing,such as rock image acquisition,gray scaling,Gaussian blurring,and feature dimensionality reduction,was conducted to extract useful feature information and recognize and classify rock images using Tensor Flow-based convolutional neural network(CNN)and Py Qt5.A rock image dataset was established and separated into workouts,confirmation sets,and test sets.The framework was subsequently compiled and trained.The categorization approach was evaluated using image data from the validation and test datasets,and key metrics,such as accuracy,precision,and recall,were analyzed.Finally,the classification model conducted a probabilistic analysis of the measured data to determine the equivalent lithological type for each image.The experimental results indicated that the method combining deep learning,Tensor Flow-based CNN,and Py Qt5 to recognize and classify rock images has an accuracy rate of up to 98.8%,and can be successfully utilized for rock image recognition.The system can be extended to geological exploration,mine engineering,and other rock and mineral resource development to more efficiently and accurately recognize rock samples.Moreover,it can match them with the intelligent support design system to effectively improve the reliability and economy of the support scheme.The system can serve as a reference for supporting the design of other mining and underground space projects.
基金financed by the grant from the National Social Science Fund General Project(No.24BZS117).
文摘The transmission of Ben Cao Gang Mu(《本草纲目》The Grand Compendium of Materia Medica)to Japan in the early 17th century significantly influenced the development of Japanese herbalism.Inspired by materia medica illustrations in this work,herbalists during the Edo period(1603-1867)recognized the importance of images in herbal literature and created a series of illustrated texts.In the early Edo,materia medica illustrations primarily imitated or referenced Chinese illustrations.Singular picturing techniques,a lack of accuracy,and a reliance on limited object references characterized these works.However,starting in the 18th century,with the support and promotion of the Edo Shogunate,herbalists,naturalists,and illustrators conducted field surveys and picturings of natural products in Japan and neighboring nations.This effort led to a trend of picturing based on nature.As a result,the illustrations in herbal literature from the mid-Edo period began to exhibit a distinct realistic painting style.This development became essential for verifying names and realities in Japanese herbal studies.Furthermore,the knowledge of botany and natural history during this time influenced the creation of herbal illustrations,paving the way for the differentiation of Japanese herbalism in the later Edo period.
基金funded by the Research Project:THTETN.05/24-25,VietnamAcademy of Science and Technology.
文摘Multi-view clustering is a critical research area in computer science aimed at effectively extracting meaningful patterns from complex,high-dimensional data that single-view methods cannot capture.Traditional fuzzy clustering techniques,such as Fuzzy C-Means(FCM),face significant challenges in handling uncertainty and the dependencies between different views.To overcome these limitations,we introduce a new multi-view fuzzy clustering approach that integrates picture fuzzy sets with a dual-anchor graph method for multi-view data,aiming to enhance clustering accuracy and robustness,termed Multi-view Picture Fuzzy Clustering(MPFC).In particular,the picture fuzzy set theory extends the capability to represent uncertainty by modeling three membership levels:membership degrees,neutral degrees,and refusal degrees.This allows for a more flexible representation of uncertain and conflicting data than traditional fuzzy models.Meanwhile,dual-anchor graphs exploit the similarity relationships between data points and integrate information across views.This combination improves stability,scalability,and robustness when handling noisy and heterogeneous data.Experimental results on several benchmark datasets demonstrate significant improvements in clustering accuracy and efficiency,outperforming traditional methods.Specifically,the MPFC algorithm demonstrates outstanding clustering performance on a variety of datasets,attaining a Purity(PUR)score of 0.6440 and an Accuracy(ACC)score of 0.6213 for the 3 Sources dataset,underscoring its robustness and efficiency.The proposed approach significantly contributes to fields such as pattern recognition,multi-view relational data analysis,and large-scale clustering problems.Future work will focus on extending the method for semi-supervised multi-view clustering,aiming to enhance adaptability,scalability,and performance in real-world applications.
文摘Apps can help you in your daily life.For example,the app Kiwake helps you wake up.Its special alarm won't turn off until you do three things.You must take a picture of something far from your bed.Then play a short game to wake up your mind.After that,you must review your goals for the day.
文摘Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com I’m a British-Irish author now living in Belgium,where I work as a staff travel writer for Travel Tomorrow.
文摘I.Look and say something about the pictures.Li Li:What's this in English,Jerry?Jerry:It is a boat.Li Li:Is that a boat in English,Jerry?Jerry:No,it isn't.It is a ship in English.L Li Li:I see.Thank you.Jerry:You're welcome.
文摘The Han-shan and Shi-de story,which spread to Japan around the 11th century,has given rise to many literary works in later times.The Japanese picture book Kanzan and Jittoku by Nagamatsu Yōko and Komai Keiko is a good example.However,the picture book,which serves as a window on the cultural resonance of the Han-shan and Shi-de story,has not received enough attention from researchers,compared with other forms of rewriting such as poetry,drama,or short stories.This article investigates the representation of Han-shan and Shi-de in the picture book,and examines how the authors have incorporated the preceding texts as raw material for their own.It is found that the transformation of Han-shan and Shi-de in the picture book stems from the authors’selective use of the preceding texts and their unique interpretation.LüQiuyin’s preface,Hakuin’s comments on Han-shan,as well as the authors’knowledge and experience are vital in shaping the characters.
文摘Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com I am a reporter with Morgunblaðið(The Morning Paper),Iceland’s largest subscription newspaper.It was an honor of mine to write an article for China Today’s June issue.
文摘Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com.
文摘Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com.
文摘Your comments are welcome!Please feel free to contact us with your personal stories or vivid pictures!Address:24 Baiwanzhuang St.,Xicheng Dist.,Beijing,100037 E-mail:chinatodaynews@aliyun.com。
文摘For any country,the availability of electricity is crucial to the development of the national economy and society.As a result,decision-makers and policy-makers can improve the sustainability and security of the energy supply by implementing a variety of actions by using the evaluation of these factors as an early warning system.This research aims to provide a multi-criterion decision-making(MCDM)method for assessing the sustainability and security of the electrical supply.The weights of criteria,which indicate their relative relevance in the assessment of the sustainability and security of the energy supply,the MCDM method allow users to express their opinions.To overcome the impact of uncertainty and vagueness of expert opinion,we explore the notion of picture fuzzy theory,which is a more efficient and dominant mathematical model.Recently,the theory of Aczel-Alsina operations has attained a lot of attraction and has an extensive capability to acquire smooth approximated results during the aggregation process.However,Choquet integral operators are more flexible and are used to express correlation among different attributes.This article diagnoses an innovative theory of picture fuzzy set to derive robust mathematical methodologies of picture fuzzy Choquet Integral Aczel-Alsina aggregation operators.To prove the intensity and validity of invented approaches,some dominant properties and special cases are also discussed.An intelligent decision algorithm for the MCDM problem is designed to resolve complicated real-life applications under multiple conflicting criteria.Additionally,we discussed a numerical example to investigate a suitable electric transformer under consideration of different beneficial key criteria.A comparative study is established to capture the superiority and effectiveness of pioneered mathematical approaches with existing methodologies.
基金the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Small Research Project under grant number RGP1/141/46.
文摘While interval-valued picture fuzzy sets(IvPFSs)provide a powerful tool for modeling uncertainty and ambiguity in various fields,existing divergence measures for IvPFSs remain limited and often produce counterintuitive results.To address these shortcomings,this paper introduces two novel divergencemeasures for IvPFSs,inspired by the Jensen-Shannon divergence.The fundamental properties of the proposed measures-non-degeneracy,symmetry,triangular inequality,and boundedness-are rigorously proven.Comparative analyses with existing measures are conducted through specific cases and numerical examples,clearly demonstrating the advantages of our approach.Furthermore,we apply the new divergence measures to develop an enhanced interval-valued picture fuzzy TOPSIS method for risk assessment in construction projects,showing the practical applicability and effectiveness of our contributions.
基金supported by the National Natural Science Foundation of China(No.62172095).
文摘Ensuring a sustainable and eco-friendly environment is essential for promoting a healthy and balanced social life.However,decision-making in such contexts often involves handling vague,imprecise,and uncertain information.To address this challenge,this study presents a novel multi-criteria decision-making(MCDM)approach based on picture fuzzy hypersoft sets(PFHSS),integrating the flexibility of Schweizer-Sklar triangular norm-based aggregation operators.The proposed aggregation mechanisms—weighted average and weighted geometric operators—are formulated using newly defined operational laws under the PFHSS framework and are proven to satisfy essential mathematical properties,such as idempotency,monotonicity,and boundedness.The decision-making model system-atically incorporates both benefit and cost-type criteria,enabling more nuanced evaluations in complex social or environmental decision problems.To enhance interpretability and practical relevance,the study conducts a sensitivity analysis on the Schweizer-Sklar parameter(Δ).The results show that varyingΔaffects the strictness of aggregation,thereby influencing the ranking stability of alternatives.A comparative analysis with existing fuzzy and hypersoft-based MCDM methods confirms the robustness,expressiveness,and adaptability of the proposed approach.Notably,the use of picture fuzzy sets allows for the inclusion of positive,neutral,and negative memberships,offering a richer representation of expert opinions compared to traditional models.A case study focused on green technology adoption for environmental sustainability illustrates the real-world applicability of the proposed method.The analysis confirms that the approach yields consistent and interpretable results,even under varying degrees of decision uncertainty.Overall,this work contributes an efficient and flexible MCDM tool that can support decision-makers in formulating policies aligned with sustainable and socially responsible outcomes.
