Some Measures of Picture Fuzzy Sets and Their Application in Multi-attribute Decision Making

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Nguyen Van Dinh 1,* Nguyen Xuan Thao 1

1. Department of applied Math-Informatics, Faculty of Information Technolog

* Corresponding author.


Received: 26 Sep. 2017 / Revised: 14 Feb. 2018 / Accepted: 20 Mar. 2018 / Published: 8 Jul. 2018

Index Terms

Picture fuzzy set (PFS), difference between PFS-sets, distance measure and dissimilarity measure between picture fuzzy sets, multi-attribute decision making


To measure the difference of two fuzzy sets / intuitionistic sets, we can use the distance measure and dissimilarity measure between fuzzy sets. Characterization of distance/dissimilarity measure between fuzzy sets/intuitionistic fuzzy set is important as it has application in different areas: pattern recognition, image segmentation, and decision making. Picture fuzzy set (PFS) is a generalization of fuzzy set and intuitionistic set, so that it have many application. In this paper, we introduce concepts: difference between PFS-sets, distance measure and dissimilarity measure between picture fuzzy sets, and also provide the formulas for determining these values. We also present an application of dissimilarity measures in multi-attribute decision making.

Cite This Paper

Nguyen Van Dinh, Nguyen Xuan Thao,"Some Measures of Picture Fuzzy Sets and Their Application in Multi-attribute Decision Making", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.4, No.3, pp.23-41, 2018. DOI: 10.5815/ijmsc.2018.03.03


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