Multi-attribute Decision Making Method Based on Interval-valued Rough Intuitionistic Fuzzy Number

doi:10.12005/orms.2015.0115

Abstract

Abstract: Interval-valued rough intuitionistic fuzzy number is investigated. Some operational laws of interval-valued rough intuitionistic fuzzy numbers are defined and some related properties are researched, and the weighted arithmetic average operator and weighted geometric average operator for the interval-valued rough intuitionistic fuzzy numbers are given. The score function and accurate function of rough intuitionistic fuzzy numbers are defined, and then an approach for ranking interval-valued rough intuitionistic fuzzy numbers is presented. The model of multi-attribute decision making is constructed based on interval-valued rough intuitionistic fuzzy numbers. The corresponding method of decision making is proposed. The example analysis shows the effectiveness of the method.

Key words: interval-valued rough intuitionistic fuzzy number, multi-attribute decision making, aggregation operator, variable-weight vector

摘要： 研究了区间粗糙直觉模糊多属性决策。探讨了区间粗糙直觉模糊数的运算法则及其性质;定义了区间粗糙直觉模糊数的得分函数和精确函数,进而给出其排序方法;给出了区间粗糙直觉模糊数的变权算术平均和变权几何平均算子,并且建立了区间粗糙直觉模糊数的多属性决策模型;实例验证了所提出决策方法的有效性。

关键词: 区间粗糙直觉模糊数, 多属性决策, 集成算子变权向量

CLC Number:

C934

YU Gao-feng, LIU Wen-qi. Multi-attribute Decision Making Method Based on Interval-valued Rough Intuitionistic Fuzzy Number[J]. Operations Research and Management Science, 2015, 24(4): 23-29.

余高锋, 刘文奇. 基于区间粗糙直觉模糊数的多属性决策方法[J]. 运筹与管理, 2015, 24(4): 23-29.

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