IJPAM: Volume 89, No. 3 (2013)

FUZZY GOAL PROGRAMMING BASED ON
PIECEWISE LINEAR MEMBERSHIP FUNCTIONS

Ksh. Mangijaobi Devi$^1$, Th. Biren Singh$^2$
$^1$Department of Mathematics
Manipur University
Imphal, 795003, Manipur, INDIA
$^2$Oriental College
Imphal, 795001, INDIA


Abstract. In the paper, we propose a method for finding the solution of fuzzy linear goal programming(FLGP) problems where each objective function has a prescribed fuzzy goal characterized by piecewise linear membership functions. In view of the fuzzy membership functions and the given constraints, we employ deviational variables and then the problem is transformed into a classical linear programming(LP) problem. The proposed method is mainly based on the concepts of piecewise linear functions due to Charnes and Cooper [2] and Can and Houk [5]. An example is illustrated to show the more applicability of the proposed method.

Received: April 1, 2013

AMS Subject Classification: 03B52, 90C29

Key Words and Phrases: fuzzy goal programming, piecewise linearmembership functions, fuzzy environment

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DOI: 10.12732/ijpam.v89i3.3 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: 2013
Volume: 89
Issue: 3