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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.6, No.5, Oct. 2020

A New Similarity Measure of Picture Fuzzy Sets and Application in the Fault Diagnosis of Steam Turbine

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Author(s)

Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao

Index Terms

Picture fuzzy set, similarity measure, fault turbine.

Abstract

Picture fuzzy set is an extension of fuzzy sets and intuitionistic sets. It is demonstrated have a wide application in the fact and theoretical. In this paper, we propose some novel similarity measures between picture fuzzy sets. The novel similarity measure is constructed by combining negative functions of each degree membership of picture fuzzy set. This similarity is shown that is better other similarity measures of picture fuzzy sets in some cases. Next, we apply them in several pattern recognition problems. Finally, we apply them to find the fault diagnosis of the steam turbine.

Cite This Paper

Ngoc Minh Chau, Nguyen Thi Lan, Nguyen Xuan Thao. " A New Simialrity Measure Of Picture Fuzzy Sets And Application In The Fault Diagnosis Of Steam Turbine ", International Journal of Mathematical Sciences and Computing (IJMSC), Vol.6, No.5, pp.47-55, 2020. DOI: 10.5815/IJMSC.2020.05.05

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