Affiliations: [a] School of Management, Tianjin Normal University, Tianjin, China
| [b] College of Mathematics, Tonghua Normal University, Tonghua, Jilin, China
| [c] Department of Mathematics, Teacher’s College, Easten Liaoning University, Dandong, China
Correspondence:
[*]
Corresponding author. Yujie Tao, College of Mathematics, Tonghua Normal University, Tonghua, Jilin, China. E-mail: taoyujie@126.com.
Note: [1] This work has been supported by National Natural Science Foundation of China (Grant No. 61374009).
Abstract: A polygonal fuzzy numbers can describe fuzzy information by means of finite ordered real numbers. It not only overcomes the complexity of traditional fuzzy number operations, but also keeps some good properties of trapezoidal fuzzy numbers, and it can approximate general fuzzy numbers with arbitrary precision. In this paper, a weighted arithmetic average operator is defined by the ordered representation and its operations of the polygonal fuzzy numbers, and a new Euclidean distance for measuring the polygonal fuzzy numbers is given. Secondly, in view of cost attribute and benefit attributes, the polygonal fuzzy decision matrix is normalized, and the weighted Euclidean distance is used to solve the positive (negative) ideal solution and the relative closeness of the decision matrix, and then a new decision method is given. Finally, the effectiveness of the proposed decision-making method is illustrated by an example of the evaluation of logistics companies by shopping websites.
