A goal programming procedure for fuzzy multiobjective linear fractional programming problem

This paper presents a goal programming (GP) procedure for fuzzy multiobjective linear fractional programming (FMOLFP) problems. In the proposed approach, which is motivated by Mohamed (Fuzzy Sets and Systems 89 (1997) 215), GP model for achievement of the highest membership value of each of fuzzy go...

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Bibliographic Details
Published in:	Fuzzy sets and systems Vol. 139; no. 2; pp. 395 - 405
Main Authors:	Pal, B.B., Moitra, B.N., Maulik, U.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 16.10.2003
Subjects:	Fuzzy goal programming Fuzzy multiobjective linear fractional programming Fuzzy programming Goal programming Linear goal programming Multiobjective linear fractional programming Linear goal programming Fuzzy goal programming Fuzzy programming Multiobjective linear fractional programming Fuzzy multiobjective linear fractional programming Goal programming
ISSN:	0165-0114, 1872-6801
Online Access:	Get full text
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Summary:	This paper presents a goal programming (GP) procedure for fuzzy multiobjective linear fractional programming (FMOLFP) problems. In the proposed approach, which is motivated by Mohamed (Fuzzy Sets and Systems 89 (1997) 215), GP model for achievement of the highest membership value of each of fuzzy goals defined for the fractional objectives is formulated. In the solution process, the method of variable change on the under- and over- deviational variables of the membership goals associated with the fuzzy goals of the model is introduced to solve the problem efficiently by using linear goal programming (LGP) methodology. The approach is illustrated by two numerical examples.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/S0165-0114(02)00374-3