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FIOWHA算子及其在群决策中的应用

FIOWHA operator and its application to group decision making

中文摘要英文摘要

研究了属性权重和专家权重均以实数的形式给出,属性值以三角模糊数的形式给出的多属性群决策问题。利用三角模糊数的运算法则,给出了一些基于三角模糊数运算法则的新算子:模糊加权调和平均(FWHA)算子,模糊有序加权调和平均(FOWHA)算子和模糊诱导的有序加权调和平均(FIOWHA)算子。并提出了一种基于FWHA和FIOWHA算子的三角模糊数多属性群决策方法。最后给出了一个数值例子,结果表明方法简单,有效和易于计算。

o study the problem of multiple attribute decision making in which the decision making information values are triangular fuzzy number complementary judgement matrix, a new group decision making method is proposed. Then the calculation steps to solve it are given. As the key step, some new operators are proposed such as fuzzy weighted harmonic averaging (FWHA) operator, fuzzy ordered weighted harmonic averaging (FOWHA) operator and fuzzy induced ordered weighted harmonic averaging (FIOWHA) operator and a method based on the FWHA and FIOWHA operators for fuzzy MAGDM is presented. The expected values of triangular fuzzy number are used to rank the alternatives. At last, a numerical example is provided to illustrate the proposed method. The result shows the approach is simple, effective and easy to calculate.

卫贵武

计算技术、计算机技术自动化基础理论数学

多属性群决策三角模糊数模糊诱导的有序加权调和平均(FIOWHA)算子

multiple attribute group decision makingtriangular fuzzy numberfuzzy induced ordered weighted harmonic averaging (FIOWHA) operator

卫贵武.FIOWHA算子及其在群决策中的应用[EB/OL].(2007-10-30)[2025-08-19].http://www.paper.edu.cn/releasepaper/content/200710-556.点此复制

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