Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem

Chinnadurai Veeramani; Muthukumar Sumathi

RAIRO - Operations Research - Recherche Opérationnelle (2014)

  • Volume: 48, Issue: 1, page 109-122
  • ISSN: 0399-0559

Abstract

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In this paper, a solution procedure is proposed to solve fuzzy linear fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linear programming (LP) problem. The proposed procedure illustrated through a numerical example.

How to cite

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Veeramani, Chinnadurai, and Sumathi, Muthukumar. "Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem." RAIRO - Operations Research - Recherche Opérationnelle 48.1 (2014): 109-122. <http://eudml.org/doc/275012>.

@article{Veeramani2014,
abstract = {In this paper, a solution procedure is proposed to solve fuzzy linear fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linear programming (LP) problem. The proposed procedure illustrated through a numerical example.},
author = {Veeramani, Chinnadurai, Sumathi, Muthukumar},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {triangular fuzzy number; linear programming problem; multi objective linear fractional programming problem; fuzzy mathematical programming; multi-objective linear fractional programming problem},
language = {eng},
number = {1},
pages = {109-122},
publisher = {EDP-Sciences},
title = {Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem},
url = {http://eudml.org/doc/275012},
volume = {48},
year = {2014},
}

TY - JOUR
AU - Veeramani, Chinnadurai
AU - Sumathi, Muthukumar
TI - Fuzzy Mathematical Programming approach for Solving Fuzzy Linear Fractional Programming Problem
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2014
PB - EDP-Sciences
VL - 48
IS - 1
SP - 109
EP - 122
AB - In this paper, a solution procedure is proposed to solve fuzzy linear fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linear programming (LP) problem. The proposed procedure illustrated through a numerical example.
LA - eng
KW - triangular fuzzy number; linear programming problem; multi objective linear fractional programming problem; fuzzy mathematical programming; multi-objective linear fractional programming problem
UR - http://eudml.org/doc/275012
ER -

References

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