Affiliations: [a] School of Mathematical Science, Tianjin Normal University, Tianjin, China
| [b] High School Attached to shandong Normal University, Jinan, China
Correspondence:
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Corresponding author. Guijun Wang, School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China. E-mail: tjwgj@126.com.
Note: [1] This work has been supported by National Natural Science Foundation of China (Grant No. 61374009).
Abstract: The polygonal fuzzy set is an effective tool to express a class of fuzzy information with the help of finite ordered real numbers. It can not only guarantee the closeness of arithmetic operation of the polygonal fuzzy sets, but also has good linearity and intuitiveness. Firstly, the concept of the n-intuitionistic polygonal fuzzy set (n-IPFS) is proposed based on the intuitionistic fuzzy set and the polygonal fuzzy set. The ordered representation and arithmetic operation of n-IPFS are given by an example. Secondly, a new aggregation method for multi attribute fuzzy information is given based on the n-IPFS operations and the weighted arithmetic average operator, and the ranking criteria of n-IPFS are obtained by using the score function and the accuracy function. Finally, a new group decision making method is proposed for urban residents to choose the livable city problem based on the decision matrix of the n-IPFS, and the effectiveness of the proposed method is explained by an actual example.
Keywords: Polygonal fuzzy set, n-intuitionistic polygonal fuzzy set (n-IPFS), ordered representation, aggregation operator, score function, group decision making
