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Pythagorean fuzzy TOPSIS method based on 2-tuple probability weight
Journal of Intelligent & Fuzzy Systems ( IF 2 ) Pub Date : 2021-02-17 , DOI: 10.3233/jifs-201533
Tingting Xu 1 , Hui Zhang 1 , Boquan Li 1
Affiliation  

In this paper, the concept of 2-tuple probability weight is presented, and on this basis, the technique for order preference by similarity to ideal solution (TOPSIS) method in Pythagorean fuzzy environment is given. First, the definition of 2-tuple probability weight is put forward, and two examples are provided to illustrate that 2-tuple probability weight can effectively prevent the loss of information. Second, the notion of real-value 2-tuple is defined for any two real numbers, and some basic operations, operation properties, and sorting functions are introduced. Finally, a 2-tuple probability weight Euclidean distance is provided, a new Pythagorean fuzzy TOPSIS method is further proposed, and the flexibility and effectiveness of the proposed methods are illustrated by an example and two comparative analyses.

中文翻译:

基于二元概率权重的勾股模糊TOPSIS方法

本文提出了二元概率权重的概念,并在此基础上,给出了毕达哥拉斯模糊环境下基于理想解(TOPSIS)方法的顺序偏好技术。首先,提出了二元组概率权重的定义,并通过两个例子说明了二元组概率权重可以有效地防止信息丢失。其次,为任意两个实数定义了实值2元组的概念,并介绍了一些基本运算,运算属性和排序函数。最后,给出了一个二元概率权重欧几里德距离,进一步提出了一种新的毕达哥拉斯模糊TOPSIS方法,并通过实例和两个对比分析说明了该方法的灵活性和有效性。
更新日期:2021-02-19
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