基于新得分函数的勾股梯形模糊数的多属性决策

Multi-Attribute Decision-Making Based on New Scoring Function of Pythagorean Trapezoidal Fuzzy Number

摘要: 针对属性值为勾股梯形模糊数的多属性决策问题，重新定义了勾股梯形模糊数的期望函数、评分函数和精确函数。给出了勾股梯形模糊数的运算法则，基于这些运算法则，提出了勾股梯形模糊加权算术平均算子。利用这些聚集算子，对准则值进行聚集，得到集结的勾股梯形模糊备选数。通过比较集结模糊数的得分函数和精确函数值，可以得到整个备选集的排序。通过实例验证了该方法的可行性和有效性。

Abstract: For multi-attributes decision-making problems, in which the values of attributes are Pythagorean trapezoidal fuzzy numbers, the expected function, scoring function and accuracy function of trape-zoidal fuzzy number are redefined. Their operational laws are defined. Based on these operational laws, Pythagorean trapezoidal fuzzy weighted arithmetic averaging operator is proposed. By using these aggregation operators, criteria values are aggregated and integrated Pythagorean trapezoidal fuzzy numbers of alternatives are attained. By comparing score function and accuracy function values of integrated fuzzy numbers, a ranking of the whole alternative set can be attained. An example is given to show the feasibility and availability of the method.