研究了属性间相互关联环境下的犹豫三角模糊多属性决策(MADM)问题,提出一种新的算法.首先,基于犹豫三角模糊数(HTFN)的运算规则和Bonferroni平均(BM)算子,定义了犹豫三角模糊Bonferroni平均(HTFBM)算子和犹豫三角模糊加权Bonferroni平均(HTFWBM)算子.其次,研究了HTFBM的一些性质,建立基于HTFWBM的MADM模型.最后通过一个投资项目选择算例证明算子的有效性与可行性.

In order to solve the problems of multiple attribute decision-making (MADM) in which the attribute values are in the form of hesitate triangular fuzzy element (HTFE),A new algorithm is proposed.Firstly,based on the HTFS’s operational laws and Bonferroni mean operator, and then define hesitant triangular fuzzy Bonferroni mean (HTFBM) operator and HTFWBM.Secondly research the related properties of HTFBM,construct a multi-attribute decision making model based on HTFWBM operator.Finally,an portfolio investment selection example to demonstrate the effectiveness and feasibility of the proposed operator.

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国家自然科学基金(No.71302153);中国博士后特别资助(2014T70838);上海市重点学科建设项目(B310)