毕达哥拉斯三角模糊VIKOR多属性决策方法

VIKOR Method of Multi-attribute Decision Making Under Pythagorean Triangular Fuzzy Number

针对属性值为毕达哥拉斯三角模糊数的多属性决策问题,提出一种VIKOR多属性决策方法。首先,给出毕达哥拉斯三角模糊数距离的公理化定义,构造了一种毕达哥拉斯三角模糊数的距离公式,并证明其满足公理化定义,将该距离公式推广到毕达哥拉斯三角模糊集,给出了符合决策实际的毕达哥拉斯三角模糊集的加权距离(Hamming距离)等概念;其次,将VIKOR方法推广到毕达哥拉斯三角模糊决策环境下,提出了毕达哥拉斯三角模糊VIKOR决策方法,并列出具体决策步骤;最后通过实例说明该方法的有效性与可行性。

Aiming to solve the multi-attribute decision making problem with the attribute value of Pythagorean triangular fuzzy number,a VIKOR multi-attribute method is proposed.Firstly,the axiomatic definition of the distance of the Pythagorean triangular fuzzy number is provided,and a distance formula of the Pythagorean triangular fuzzy number is constructed,which satisfies the axiomatic definition.The distance formula is extended to the Pythagorean triangular fuzzy set.The concepts of weighted distance(Hamming distance)of Pythagorean triangular fuzzy set are given,which are in line with the actual decision-making.Then,the VIKOR method is extended to the Pythagorean triangular fuzzy decision-making environment,and the Pythagorean triangular fuzzy VIKOR decision-making method is proposed,and the specific decision-making steps are listed.Finally,the effectiveness and feasibility of the method are illustrated by examples.