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International Journal of Mathematical Sciences and Computing(IJMSC)

ISSN: 2310-9025 (Print), ISSN: 2310-9033 (Online)

Published By: MECS Press

IJMSC Vol.4, No.3, Jul. 2018

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

Full Text (PDF, 717KB), PP.23-41


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Author(s)

Nguyen Van Dinh, Nguyen Xuan Thao

Index Terms

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

Abstract

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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