基于区间粗糙直觉模糊数的多属性决策方法

doi:10.12005/orms.2015.0115

运筹与管理 ›› 2015, Vol. 24 ›› Issue (4): 23-29.DOI: 10.12005/orms.2015.0115

基于区间粗糙直觉模糊数的多属性决策方法

余高锋¹, 刘文奇²

1.三明学院信息工程学院,福建三明 365004;
2.昆明理工大学理学院,云南昆明 650093

收稿日期:2013-06-24 出版日期:2015-08-12
作者简介:余高锋,(1986-)男,助教,硕士,从事决策分析和博弈论等研究;刘文奇(1965-)男,教授,从事决策分析的研究。
基金资助:
国家自然科学基金重点项目(71231003);国家自然科学基金项目(71171055,70871117);福建省自然基金项目(2012J012802,2015J01287);福建省教育厅科技项目(JA14295);福建省大学生创新创业训练计划项目(201311311023)

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

YU Gao-feng¹, LIU Wen-qi²

1.School of Information, Sanming University, Saming 365004, China;
2.School of Science, Kunming University of Science and Technology, Kunming650093, China

Received:2013-06-24 Online:2015-08-12

摘要/Abstract

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

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

中图分类号:

C934

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.

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.

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基于区间粗糙直觉模糊数的多属性决策方法

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

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