基于VIKOR和诱导广义直觉梯形模糊Choquet积分算子的多属性群决策方法

doi:10.16381/j.cnki.issn1003-207x.2016.06.016

中国管理科学 ›› 2016, Vol. 24 ›› Issue (6): 132-142.doi: 10.16381/j.cnki.issn1003-207x.2016.06.016

基于VIKOR和诱导广义直觉梯形模糊Choquet积分算子的多属性群决策方法

赵树平^1,2, 梁昌勇^1,2, 罗大伟^1,2

1. 合肥工业大学管理学院, 安徽合肥 230009;
2. 过程优化与智能决策教育部重点实验室, 安徽合肥 230009

收稿日期:2014-04-16 修回日期:2014-12-17 出版日期:2016-06-20 发布日期:2016-07-05
通讯作者: 梁昌勇(1965-),男(汉族),安徽肥西人,合肥工业大学管理学院教授,博士生导师,研究方向:管理信息系统、行为决策、信息管理与公共政策、云计算技术等,E-mail:cyliang@163.com. E-mail:cyliang@163.com
基金资助:
国家自然科学基金面上重点资助项目(71331002);国家自然科学基金资助面上项目(71271072);教育部高等学校博士点基金资助项目(20110111110006);中央高校基本科研业务费专项资金资助项目(JZ2015HGBZ0468)

Multi-Attribute Group Decision Making Based On Extend VIKOR and Induced Generalized Intuitionistic Trapezoidal Fuzzy Choquet Integral

ZHAO Shu-ping^1,2, LIANG Chang-yong^1,2, LUO Da-wei^1,2

1. School of Management, Hefei University of Technology, Hefei 230009, China;
2. Key Laboratory of Process Optimization and Intelligent Decision-making, Ministry of Education, Hefei 230009, China

Received:2014-04-16 Revised:2014-12-17 Online:2016-06-20 Published:2016-07-05

摘要/Abstract

摘要： 针对属性值为直觉梯形模糊数,决策者间和属性间存在相互关联的多属性群决策问题,引入模糊测度和Choquet积分的概念,在直觉梯形模糊数的运算法则基础上构建了诱导型广义直觉梯形模糊choquet积分平均(IG-ITFCA)算子和诱导型广义直觉梯形模糊choquet积分几何(IG-ITFCG)算子,探讨上述算子的若干性质及一些特例,进而提出了基于诱导型广义直觉梯形模糊Choquet积分算子和多准则妥协优化解(VIKOR)的直觉梯形模糊多属性群决策方法。实例分析验证该方法的有效性和合理性。

关键词: 直觉梯形模糊数, Choquet积分算子, 关联, 多准则妥协优化解, 群决策

Abstract: With regard to multi-attribute group decision making problem with conflicting attributes and interdependent subjective preference of decision makers in a fuzzy environment where preferences of decision makers with respect to attributes are represented by intuitionistic trapezoidal fuzzy numbers, are investigated. Combing the definition of fuzzy measure and induced aggregation operator, some new aggregation operators based on Choquet integral are proposed, such as induced generalized intuitionistic trapezoidal fuzzy Choquet integral average(IG-ITFCA)operator and induced generalized intuitionistic trapezoidal fuzzy Choquet integral geometric(IG-ITFCG)operator, some desirable properties of these aggregation operators are investigated in detail. The extended VIKOR decision procedure based on the proposed operator is developed for solving the multi-attribute group decision making problem where the interactive attributes weight is measured by Shapley value. An illustrative example is given for demonstrating the applicability of the proposed decision procedure for solving the multi-attribute group decision making problem in intuitionistic trapezoidal fuzzy environment.

Key words: group decision making, intuitionistic trapezoidal fuzzy number, Choquet integral, interaction, aggregation operators, VIKOR

中图分类号:

C934

赵树平, 梁昌勇, 罗大伟. 基于VIKOR和诱导广义直觉梯形模糊Choquet积分算子的多属性群决策方法[J]. 中国管理科学, 2016, 24(6): 132-142.

ZHAO Shu-ping, LIANG Chang-yong, LUO Da-wei. Multi-Attribute Group Decision Making Based On Extend VIKOR and Induced Generalized Intuitionistic Trapezoidal Fuzzy Choquet Integral[J]. Chinese Journal of Management Science, 2016, 24(6): 132-142.

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基于VIKOR和诱导广义直觉梯形模糊Choquet积分算子的多属性群决策方法

Multi-Attribute Group Decision Making Based On Extend VIKOR and Induced Generalized Intuitionistic Trapezoidal Fuzzy Choquet Integral

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