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Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems 被引量:64

Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems
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摘要 Intuitionistic trapezoidal fuzzy numbers and their operational laws are defined. Based on these operational laws, some aggregation operators, including intuitionistic trapezoidal fuzzy weighted arithmetic averaging operator and weighted geometric averaging operator are proposed. Expected values, score function, and accuracy function of intuitionitsic trapezoidal fuzzy numbers are defined. Based on these, a kind of intuitionistic trapezoidal fuzzy multi-criteria decision making method is proposed. By using these aggregation operators, criteria values are aggregated and integrated intuitionistic trapezoidal fuzzy numbers of alternatives are attained. By comparing score function and accuracy function values of integrated fuzzy numbers, a ranking of the whole alternative set can be attained. An example is given to show the feasibility and availability of the method. Intuitionistic trapezoidal fuzzy numbers and their operational laws are defined. Based on these operational laws, some aggregation operators, including intuitionistic trapezoidal fuzzy weighted arithmetic averaging operator and weighted geometric averaging operator are proposed. Expected values, score function, and accuracy function of intuitionitsic trapezoidal fuzzy numbers are defined. Based on these, a kind of intuitionistic trapezoidal fuzzy multi-criteria decision making method is proposed. By using these aggregation operators, criteria values are aggregated and integrated intuitionistic trapezoidal fuzzy numbers of alternatives are attained. By comparing score function and accuracy function values of integrated fuzzy numbers, a ranking of the whole alternative set can be attained. An example is given to show the feasibility and availability of the method.
机构地区 School of Business
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第2期321-326,共6页 系统工程与电子技术(英文版)
基金 supported by the National Natural Science Foundation of China (70771115).
关键词 intuitionistic trapezoidal fuzzy numbers aggregation operators multi-criteria decision making intuitionistic trapezoidal fuzzy numbers, aggregation operators, multi-criteria decision making
作者简介 Wang Jianqiang was born in 1963. He is a Ph. D. and professor. His research interests are decision-making theory and application, risk management and control, information management, and so on. E-mail:jqwang@mail.csu.edu.cn.
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