Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs

Rashmi Gupta; Ratnesh Rajan Saxena

RAIRO - Operations Research - Recherche Opérationnelle (2014)

  • Volume: 48, Issue: 3, page 415-427
  • ISSN: 0399-0559

Abstract

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Set covering problems are in great use these days, these problems are applied in many disciplines such as crew scheduling problems, location problems, testing of VLSI circuits, artificial intelligence etc. In this paper α-acceptable optimal solution is given for the fuzzy linear fractional set covering problem where fuzziness involved in the objective function. At first the fuzzy linear fractional problem is being converted in to crisp parametric linear fractional set covering problem then a linearization technique is used to obtain an optimal solution to this parametric problem. This optimal solution will also be the fuzzy optimal solution for the original problem. An example is also provided to illustrate the algorithm.

How to cite

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Gupta, Rashmi, and Saxena, Ratnesh Rajan. "Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs." RAIRO - Operations Research - Recherche Opérationnelle 48.3 (2014): 415-427. <http://eudml.org/doc/275061>.

@article{Gupta2014,
abstract = {Set covering problems are in great use these days, these problems are applied in many disciplines such as crew scheduling problems, location problems, testing of VLSI circuits, artificial intelligence etc. In this paper α-acceptable optimal solution is given for the fuzzy linear fractional set covering problem where fuzziness involved in the objective function. At first the fuzzy linear fractional problem is being converted in to crisp parametric linear fractional set covering problem then a linearization technique is used to obtain an optimal solution to this parametric problem. This optimal solution will also be the fuzzy optimal solution for the original problem. An example is also provided to illustrate the algorithm.},
author = {Gupta, Rashmi, Saxena, Ratnesh Rajan},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {fuzzy fractional set covering problem; α-optimal solution; fuzzy solution; -optimal solution},
language = {eng},
number = {3},
pages = {415-427},
publisher = {EDP-Sciences},
title = {Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs},
url = {http://eudml.org/doc/275061},
volume = {48},
year = {2014},
}

TY - JOUR
AU - Gupta, Rashmi
AU - Saxena, Ratnesh Rajan
TI - Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2014
PB - EDP-Sciences
VL - 48
IS - 3
SP - 415
EP - 427
AB - Set covering problems are in great use these days, these problems are applied in many disciplines such as crew scheduling problems, location problems, testing of VLSI circuits, artificial intelligence etc. In this paper α-acceptable optimal solution is given for the fuzzy linear fractional set covering problem where fuzziness involved in the objective function. At first the fuzzy linear fractional problem is being converted in to crisp parametric linear fractional set covering problem then a linearization technique is used to obtain an optimal solution to this parametric problem. This optimal solution will also be the fuzzy optimal solution for the original problem. An example is also provided to illustrate the algorithm.
LA - eng
KW - fuzzy fractional set covering problem; α-optimal solution; fuzzy solution; -optimal solution
UR - http://eudml.org/doc/275061
ER -

References

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  14. [14] B. Stanojević and M. Stanojević, Solving method for linear fractional optimization problem with fuzzy coefficients in the objective fucntion. Int. J. Comput. Commun.8 (2013) 146–152. 
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