基于犹豫梯形模糊Bonferroni Mean算子的多属性决策

Multi-Attribute Decision Making Based on a Hesitant Trapezoidal Fuzzy Bonferroni Mean Operator

针对专家评价值为犹豫梯形模糊元的多属性决策问题,考虑专家评价值之间的关联性,结合Bonferroni均值提出了犹豫梯形模糊Bonferroni mean算子及其加权形式.利用犹豫梯形模糊元的运算法则研究算子的相关性质和一些特例,给出了基于犹豫梯形模糊加权Bonferroni mean算子的决策方法,并通过数值实例验证了该算子的有效性.

With respect to the hesitant trapezoidal fuzzy multi-attribute decision making problems(MADM),we consider the interrelationships among expert arguments and combin Bonferroni mean value with the hesitant trapezoidal fuzzy sets(HTrFS),and then we define the hesitant trapezoidal fuzzy Bonferroni mean operator(HTrFBM) and its weighted form.The properties of the operator are discussed according to the hesitant trapezoidal fuzzy operational laws.MASM based on the weighted hesitant trapezoidal fuzzy Bonferroni mean operator(WHTrFBM) is proposed,and the effectiveness of the operator is verified by numerical illustration.