IJPAM: Volume 109, No. 3 (2016)

RANKING OF TRIANGULAR TYPE-2 FUZZY SETS
AND ITS APPLICATION IN MULTICRITERIA
DECISION MAKING PROBLEM

Pushpinder Singh, Manoj Kumar, Shin Min Kang
Department of Mathematics
Lovely Professional University
Jalandhar - Delhi G.T. Road (NH-1)
Phagwara, Punjab 144411, INDIA
Department of Mathematics and RINS
Gyeongsang National University
Jinju, 52828, KOREA

Abstract. Type-2 fuzzy sets are the generalization of ordinary fuzzy sets which consider secondary membership function and primary membership function. In this paper a new approach is proposed for the ranking of triangular type-2 fuzzy sets by considering both secondary membership function and uncertainty in primary membership function. It is shown that the proposed approach satisfies reasonable properties for the ordering of fuzzy quantities. Comparison with existing method is also presented. For the illustration of the proposed approach some numerical examples are given. Application of proposed ranking function in multicriteria decision making problem is also presented.

Revised: August 20, 2016

Published: October 1, 2016

AMS Subject Classification: 05C72

Key Words and Phrases: fuzzy sets, type-2 fuzzy sets, ranking functions, multicriteria decision making problems

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DOI: 10.12732/ijpam.v109i3.12 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 109
Issue: 3
Pages: 631 - 649