IJPAM: Volume 106, No. 8 (2016)

SOLVING INTUITIONISTIC FUZZY MULTI-OBJECTIVE
LINEAR PROGRAMMING PROBLEMS USING
RANKING FUNCTION

R. Sophia Porchelvi$^1$, S. Uma$^2$
$^1$PG and Research Department of Mathematics
A.D.M. College for Women (Autonomous)
Nagapattinam, 611001, Tamil Nadu, INDIA
$^2$Department of Mathematics
AVC College of Engineering
Mayiladuthurai, Tamil Nadu, INDIA


Abstract. The concept of Fuzzy Numbers has been enhanced in many decision making problems of engineering optimization. Ranking of Fuzzy Numbers is one of the techniques that conceptualize Fuzzy Numbers to demonstrate the order of preference in decision making. This paper focuses on modified Maleki's and Yager's ranking functions on trapezoidal intuitionistic fuzzy numbers (TIFNS) to solve multi-objective intuitionistic fuzzy linear programming problem (MOIFLPP) in which both the coefficients of objective functions as well as the right-hand side are trapezoidal intuitionistic fuzzy numbers. Finally some illustrative examples for different cases with various states are given to check the effectiveness of the modified ranking functions.

Received: February 15, 2016

AMS Subject Classification:

Key Words and Phrases: trapezoidal intuitionistic fuzzy number (TIFN), modified Maleki's ranking function, modified Yager's ranking function

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DOI: 10.12732/ijpam.v106i8.18 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: 106
Issue: 8
Pages: 149 - 160


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