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三角模糊数直觉模糊PA算子及其应用
引用本文:周晓辉,姚俭.三角模糊数直觉模糊PA算子及其应用[J].应用泛函分析学报,2014(4):308-314.
作者姓名:周晓辉  姚俭
作者单位:上海理工大学管理学院,上海200093
摘    要:针对决策信息为三角模糊数直觉模糊数(TFNIFN)且属性间存在相互关联的多属性群决策(MAGDM)问题,提出了一种基于三角模糊数直觉模糊PA (TFNIFPA)算子的决策方法.首先,基于TFNIFN的运算法则和PA (Power Average)算子,定义了TFNIFPA算子.然后,研究了该算子的一些性质,建立基于TFNIFPA算子的MAGDM模型,结合排序方法进行决策.最后通过MAGDM算例验证了该算子的有效性与可行性.

关 键 词:三角模糊数直觉模糊数  PA算子  三角模糊数直觉模糊PA算子  多属性群决策

Triangular Fuzzy Number Intuitionistic Fuzzy Power Averaging Operator and Its Application
ZHOU Xiaohui,YAO Jian.Triangular Fuzzy Number Intuitionistic Fuzzy Power Averaging Operator and Its Application[J].Acta Analysis Functionalis Applicata,2014(4):308-314.
Authors:ZHOU Xiaohui  YAO Jian
Institution:(Business School, University of Shanghai for Science and Technology, Shanghai 200093, China)
Abstract:To solve the problems of multiple attribute group decision-making (MAGDM) in which the attribute values are in the form of triangular fuzzy number intuitionistic fuzzy numbers (TFNIFN) and attributes are associated with each other, A new method is proposed which is based on tri- angular fuzzy number intuitionistic fuzzy power average (TFNIFPA) operator in this paper. By considering the operational laws of TFNIFN and power average (PA) operator, we defined TFNIFPA operator at the beginning. After researching out some of the related properties, we constructed a multi-attribute decision group making model based on TFNIFPA operator and made decisions com- bining with sort methods. As a result, we gave an illustrative example of MAGDM problems to demonstrate the effectiveness and feasibility of the proposed operator.
Keywords:triangular fuzzy number intuitionistic fuzzy number  power average operator  triangularfuzzy number intuitionistic fuzzy PA operator  multi-attribute group decision making
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