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Journal of Central South University 2016年第1期23卷 160-168页

作者： KWON Il-kyoung LEE Sang-yong Division of Computer Science & Engineering Kongju National University Department of Computer Science & Engineering Kongju National University

Research on human emotions has started to address psychological aspects of human nature and has advanced to the point of designing various models that represent them quantitatively and systematically. Based on the findings, a method is suggested for emotional space formation and emotional inference that enhance the quality and maximize the reality of emotion-based personalized services. In consideration of the subjective tendencies of individuals, AHP was adopted for the quantitative evaluation of human emotions, based on which an emotional space remodeling method is suggested in reference to the emotional model of Thayer and Plutchik, which takes into account personal emotions. In addition, Sugeno fuzzy inference, fuzzy measures, and choquet integral were adopted for emotional inference in the remodeled personalized emotional space model. Its performance was evaluated through an experiment. Fourteen cases were analyzed with 4.0 and higher evaluation value of emotions inferred, for the evaluation of emotional similarity, through the case studies of 17 kinds of emotional inference methods. Matching results per inference method in ten cases accounting for 71% are confirmed. It is also found that the remaining two cases are inferred as adjoining emotion in the same section. In this manner, the similarity of inference results is verified.

关键词： fuzzy measure fuzzy integral emotional model emotion space AHP fuzzy inference system choquet integral

Supplier Evaluation Model Based on Fuzzy Measures and choquet integral

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Journal of Beijing Institute of Technology 2010年第1期19卷 109-114页

作者：武建章张强桑圣举 School of Management and Economics Beijing Institute of Technology School of Management Science and Engineering Shijiazhuang University of Economics

To identify interactions among evaluation criteria and describe their importance,a new identification method making use of a fuzzy measure is *** relative weight and interaction degree of every evaluation criteria pair are obtained by using the diamond pairwise comparison *** on comparison results,the maximum eigenvector method of analytic hierarchy process （AHP）,the hierarchical clustering method,and the phi（s） transformation are utilized to generate values of the fuzzy measure for each subset of the evaluation criterion *** evaluation on each supplier is aggregated by choquet integral with respect to the fuzzy ***,an illustrative example demonstrates the practical feasibility and validity of the proposed method.

关键词： fuzzy measure choquet integral diamond pairwise comparison phi(s) transformation supplier evaluation

A choquet integral-based TODIM method for q-rung trapezoidal fuzzy numbers and its application in group decision-making

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International Journal of Intelligent Computing and Cybernetics 2023年第3期16卷 545-573页

作者： Benting Wan Juelin Huang Shenzhen Research Institute Jiangxi University of Finance and EconomicsNanchangChina School of Software and Internet of Things Engineering Jiangxi University of Finance and EconomicsNanchangChina

Purpose–The purpose of this paper is to develop a multi-attribute group decision-making(MAGDM)method under the q-rung orthopair trapezoidal fuzzy environment,which calculates the interaction between the criteria depending on the proposed q-rung orthopair trapezoidal fuzzy aggregation choquet integral(q-ROTrFACI)and employ TODIM(an acronym in Portuguese of Interactive and Multi-criteria Decision Making)to consider the risk psychology of decision-makers,to determine the optimal ranking of ***/methodology/approach–In MAGDM,q-rung orthopair trapezoidal fuzzy numbers(q-ROTrFNs)are efficient to indicate the quantitative vagueness of *** q-ROTrFACI operator is defined and some properties are ***,a novel similarity measure is developed by fusing the area and coordinates of the q-rung orthopair trapezoidal fuzzy *** on the above,a choquet integral-based TODIM(CI-TODIM)method to consider the risk psychology of decision-makers is proposed and two cases are provided to prove superiority of the ***–The paper investigates q-ROTrFACI operator to productively solve problems with interdependent ***,an approach is proposed to determine the center point of q–ROTrFNs and a q-rung orthopair trapezoidal fuzzy similarity is ***,CI-TODIM method is devised based on the proposed q-ROTrFACI operator and similarity in q-rung orthopair trapezoidal fuzzy *** illustration example of business models’solutions and hypertension health management are given to demonstrate the effectiveness and superiority of proposed ***/value–Thepaperdevelops a novelCI-TODIMmethodthat effectivelysolves the MAGDM problems under the premise of fully considering the priority of criteria and the risk preference of decision-makers,which provides guiding advantages for practical decision-making and enriches the application of decision-making theory.

关键词： Multi-criteria group decision-making TODIM choquet integral Q-rung orthopair trapezoidal fuzzy numbers

Monotone Set-Valued Function Defined by Set-Valued choquet integral

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Journal of Beijing Institute of Technology 2010年第2期19卷 241-245页

作者：孙红霞张强 School of Management and Economics Beijing Institute of Technology

Structural characteristics and absolute continuities of monotone set-valued function defined by set- valued choquet integral are discussed. Similar to the single-valued monotone set function, several important structural characteristics of set-valued function are defined and have been proven the same as those in the original set functions, such as null-additivity, weakly null-additivity, order continuity, strong order continuity and property（S）. A counterexample shows that order continuity and strong order continuity of the original set functions are no longer kept in a monotone set-valued function when choquet integrably bounded assumption is abandoned. Four kinds of absolute continuities are defined for set-valued function, and all been proven valid with respect to the original set functions.

关键词： monotone set-valued function set-valued choquet integral choquet integral

Application of choquet integral-Importance-Performance Analysis and TOPSIS Methods in Approaching the Preference Factors of Calligraphy and Seal Engraving Imagery

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Journal of Contemporary Educational Research 2024年第5期8卷 276-288页

作者： Yu Hsuan Chang Jiann Sheng Jiang Min Min Lin Graduate Institute of Cultural and Creative Design Tung-Fang Design UniversityKaohsiung 83044Taiwan ProvinceChina Department of Art and Design Shaoguan UniversityShaoguan 512000Guangdong ProvinceChina

Classical Chinese characters,presented through calligraphy,seal engraving,or painting,can exhibit different aesthetics and essences of Chinese characters,making them the most important asset of the Chinese *** and seal engraving,as two closely related systems in traditional Chinese art,have developed through the *** to changes in lifestyle and advancements in modern technology,their original functions of daily writing and verification have gradually ***,they have increasingly played a significant role in commercial *** study utilizes the Evaluation Grid Method(EGM)and the Analytic Hierarchy Process(AHP)to research the key preference factors in the application of calligraphy and seal engraving *** from the traditional 5-point equal interval semantic questionnaire,this study employs a non-equal interval semantic questionnaire with a golden ratio scale,distinguishing the importance ratio of adjacent semantic meanings and highlighting the weighted emphasis on visual ***,the study uses Importance-Performance Analysis(IPA)and Technique for Order Preference by Similarity to Ideal Solution(TOPSIS)to obtain the key preference sequence of calligraphy and seal engraving ***,the choquet integral comprehensive evaluation is used as a reference for IPA *** is hoped that this study can provide cultural imagery references and research methods,injecting further creativity into industrial design.

关键词： Evaluation Grid Method Analytic Hierarchy Process Calligraphy Seal engraving Importance-Performance Analysis choquet integral TOPSIS

Some General Inequalities for choquet integral

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Applied Mathematics 2015年第14期6卷 2292-2299页

作者： Xiuli Yang Xiaoqiu Song Leilei Huang College of Science China University of Mining and TechnologyXuzhouChina

With the development of fuzzy measure theory, the integral inequalities based on Sugeno integral are extensively investigated. We concern on the inequalities of Choquuet integral. The main purpose of this paper is to prove the H?lder inequality for any arbitrary fuzzy measure-based choquet integral whenever any two of these integrated functions f, g and h are comonotone, and there are three weights. Then we prove Minkowski inequality and Lyapunov inequality for choquet integral. Moreover, when any two of these integrated functions f1, f2, …, fn are comonotone, we also obtain the Hölder inequality, Minkowski inequality and Lyapunov inequality hold for choquet integral.

关键词： choquet integral Fuzzy Measure Comonotone Holder Inequality Minkowski Inequality Lyapunov Inequality

Trapezoidal Intuitionistic Fuzzy Aggregation Operator Based on choquet integral and Its Application to Multi-Criteria Decision-Making Problems

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Frontiers of Engineering Management 2015年第3期2卷 266-276页

作者： Xi-hua Li Xiao-hong Chen Business School of Central South University Collaborative Innovation Center of Resource-conserving & Environment-friendly Society and Ecological Civilization

The choquet integral can serve as a useful tool to aggregate interacting criteria in an uncertain environment. In this paper, a trapezoidal intuitionistic fuzzy aggregation operator based on the choquet integral is proposed for multi-criteria decision-making problems. The decision information takes the form of trapezoidal intuitionistic fuzzy numbers and both the importance and the interaction information among decision-making criteria are considered. On the basis of the introduction of trapezoidal intuitionistic fuzzy numbers, its operational laws and expected value are defined. A trapezoidal intuitionistic fuzzy aggregation operator based on the choquet integral is then defined and some of its properties are investigated. A new multi-criteria decision-making method based on a trapezoidal intuitionistic fuzzy choquet integral operator is proposed. Finally, an illustrative example is used to show the feasibility and availability of the proposed method.

关键词： multi-criteria decision making trapezoidal intuitionistic fuzzy numbers choquet integral fuzzy measure aggregation operator

A Fusion Algorithm for Solid-Phase Fraction in Dredging Engineering Based on choquet integral

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A Fusion Algorithm for Solid-Phase Fraction in Dredging Engi...

A New Analysis Method for Parameters Retrieving in Classifier Based on choquet integral

第43届中国控制会议

作者： Zifan Zhao Shihong Yue Tianjin University School of Electrical and Information Engineering

The parameter detection plays a key role in dredging *** an advanced,non-intrusive,and low-cost visualization technique,electrical resistance tomography(ERT) has been applied to detect the solid-phase fraction(SPF) that is a key parameter in dredging *** are three main methods for SPF detection based on ERT,but each of them has individual applicable range and *** the three methods have complementary to measure SPF,thus a fusion algorithm is proposed based on the choquet integral tool in this *** results demonstrate that the choquet intergral-based SPF fusion method has higher accuracy and reliability than each of the existing ***,the proposed method provides an effective way to compute SPF in dredging engineering.

关键词： solid-phase fraction choquet integral dredging engineering electrical resistance tomography

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A New Analysis Method for Parameters Retrieving in Classifie...

Some properties of monotone set functions defined by choquet integral

第30届中国控制与决策会议

作者： Rong Yang Denggui Wang College of Machatronics and Control Engineering Shenzhen University

choquet integral is a powerful aggregation tool in information fusion and *** is established with respect to signed fuzzy *** nonadditivity of the signed fuzzy measure provides an effective representation to describe the interaction among contributions from the predictive attributes to the objective ***,the values of the signed fuzzy measure in most classifiers based on choquet integral are either preset subjectively by experience,or retrieved by global optimization methods which are *** this paper,a new discriminant analysis algorithm to retrieve the values of signed fuzzy measure in classification models based on choquet integral is proposed via Fisher’s linear *** is the first time to derive the values of the signed fuzzy measure directly in an analytic *** validation on synthetics and benchmark data sets are conducted to reveal the feasibility and effectiveness of the proposed method.

关键词： classification choquet integral fuzzy measure discriminant analysis

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Journal of Southeast University(English Edition) 2003年第4期19卷 423-426页

作者：欧阳耀李军东南大学数学系南京210096

In this paper, some properties of the monotone set function defined by thechoquet integral are discussed. It is shown that several important structural characteristics of theoriginal set function, such as weak null-additivity, strong order continuity, property (s) andpseudomelric generating property, etc., are preserved by the new set function. It is also shown thatC-integrability assumption is inevitable for the preservations of strong order continuous andpseudometric generating property.

关键词： non-additive measure monotone set function choquet integral