区间直觉梯形模糊Bonferroni平均算子及在多属性群决策中的应用

doi:10.12005/orms.2016.0093

摘要/Abstract

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(MAGDM)问题,提出一种基于加权区间直觉梯形模糊Bonferroni平均(WIVITFBM)算子的决策方法.首先,基于IVITFN的运算法则和Bonferroni平均(BM)算子,定义了区间直觉梯形模糊Bonferroni平均(VITFBM)算子和WIVITFBM算子.然后,研究了这些算子的一些性质,建立基于WIVITFBM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: 区间直觉梯形模糊数, 区间直觉梯形模糊Bonferroni平均算子, 加权区间直觉梯形模糊Bonferroni平均算子, 多属性群决策

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 approach is proposed based on weighted interval-valued intuitionistic trapezoidal fuzzy Bonferroni means(WIVITFBM)operator. Firstly, according to the IVITFN’s operational laws and Bonferroni means(BM)operator, the interval-valued intuitionistic trapezoidal fuzzy Bonferroni means(IVITFBM)operator and WIVITFBM operator are defined. Meanwhile, the related properties are researched, then a model of MAGDM is constructed based on WIVITFBM operator, which is for making decisions combining with sort methods. Finally, an illustrative example of MAGDM problems is examined to demonstrate the effectiveness and feasibility of the proposed operator in this paper.

Key words: interval-valued intuitionistic trapezoidal fuzzy number, interval-valued intuitionistic trapezoidal fuzzy bonferroni means operator, weighted Interva-valued intuitionistic trapezoidal fuzzy bonferroni means operator, multi-attribute group decision making

中图分类号:

C934

周晓辉,姚俭,吴天魁. 区间直觉梯形模糊Bonferroni平均算子及在多属性群决策中的应用[J]. 运筹与管理, 2016, 25(3): 132-139.

ZHOU Xiao-hui ,YAO Jian ,WU Tian-kui. Interval-valued Intuitionistic Trapezoidal Fuzzy Bonferroni Means and Its Application in Multi-attribute Group Decision Making[J]. Operations Research and Management Science, 2016, 25(3): 132-139.

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