基于Choquet积分的区间直觉梯形模糊多属性群决策

周晓辉,姚俭

系统科学与数学 ›› 2015, Vol. 35 ›› Issue (2) : 245-256.

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PDF(433 KB)
系统科学与数学 ›› 2015, Vol. 35 ›› Issue (2) : 245-256. DOI: 10.12341/jssms12535
论文

基于Choquet积分的区间直觉梯形模糊多属性群决策

    周晓辉,姚俭
作者信息 +

APPROACH FOR MULTIPLE ATTRIBUTE GROUP DECISION-MAKING WITH INTERVAL VALUED INTUITIONISTIC TRAPEZOIDAL FUZZY NUMBER BASED ON CHOQUET INTEGRAL

    ZHOU Xiaohui ,YAO Jian
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摘要

针对决策信息为区间直觉梯形模糊数(IVITFN)且属性间存在相互关联的多属性群决策问题, 提出了基于Choquet积分理论的区间直觉梯形模糊关联平均(IVITFCA)算子.首先,基于IVITFN的运算法则和Choquet积分, 定义了IVITFCA算子,并研究了该算子的相关性质.然后,提出了基于IVITFCA算子的多属性群决策方法. 最后,通过供应商选择算例证明了所提方法的有效性与可行性.

Abstract

With respect to the problems of multiple attribute group decision-making (MAGDM) in which the attribute values are in the form of interval-valued intuitionistic trapezoidal fuzzy numbers (IVITFN) and attributes are associated with each other, an interval-valued intuitionistic trapezoidal fuzzy correlated average operator is proposed based on Choquet integral. Firstly, based on the Choquet integral and operational laws of IVITFN, IVITFCA operator is defined, and some of its properties are investigated. Then, an approach of multi-attribute decision group making based on IVITFCA operator is given. Finally, an illustrative example of supplier selection is provided to demonstrate the effectiveness and feasibility of the proposed method.

关键词

区间直觉梯形模糊数 / Choquet积分 / 区间直觉梯形模糊Choquet算子 / 多属性群决策.

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周晓辉 , 姚俭. 基于Choquet积分的区间直觉梯形模糊多属性群决策. 系统科学与数学, 2015, 35(2): 245-256. https://doi.org/10.12341/jssms12535
ZHOU Xiaohui , YAO Jian. APPROACH FOR MULTIPLE ATTRIBUTE GROUP DECISION-MAKING WITH INTERVAL VALUED INTUITIONISTIC TRAPEZOIDAL FUZZY NUMBER BASED ON CHOQUET INTEGRAL. Journal of Systems Science and Mathematical Sciences, 2015, 35(2): 245-256 https://doi.org/10.12341/jssms12535
中图分类号: 90B50   
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