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纯区间直觉模糊数的算术集结算子及其在群决策中的应用

Pure interval-valued Intuitionistic Fuzzy Arithmetric Aggregation Operators and its Application to Group Decision Making

中文摘要英文摘要

对纯区间直觉模糊信息的集结算子进行了进一步研究,引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数,并基于这些运算法则,提出了一些新算子:纯区间直觉模糊数加权算术平均(PI-IFWAA)算子和纯区间直觉模糊数有序加权平均(PI-IFOWA)算子。给出了一种基于PI-IFWAA算子和PI-IFOW算子的纯区间直觉模糊数多属性群决策方法。最后,进行了实例分析,说明了该方法的实用性和有效性。

Methods for aggregating pure interval-valued intuitionistic fuzzy information are investigated. Some operational laws of interval-valued intuitionistic fuzzy numbers, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are intriduced. Based on these operational laws, some aggregation operators, including pure interval-valued intuitionistic fuzzy weighted arithmetric averaging (PI-IFWAA) operator and pure interval-valued intuitionistic fuzzy ordered weighted averaging (PI-IFOWA) operator, are proposed. An approach to multiple attribute group decision making (MAGDM) with interval-valued intuitionistic fuzzy information is developed based on the PI-IFWAA and the PI-IFOWA operators. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.

卫贵武

数学

区间直觉模糊数运算法则纯区间直觉模糊数加权算术平均(PI-IFWAA)算子纯区间直觉模糊数有序加权平均(PI-IFOWA)算子

interval-valued intuitionistic fuzzy numbersoperation lawspure interval-valued intuitionistic fuzzy weighted arithmetric averaging (I-IFWAA)operatorpure interval-valued intuitionistic fuzzy ordered weighted averaging (PI-IFOWA) operator

卫贵武.纯区间直觉模糊数的算术集结算子及其在群决策中的应用[EB/OL].(2007-04-25)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/200704-609.点此复制

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