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.

Keywords: fuzzy fractional set covering problem, α-optimal solution, fuzzy solution

@article{RO_2014__48_3_415_0, author = {Gupta, Rashmi and Saxena, Ratnesh Rajan}, title = {Fuzzy {Linear} {Fractional} {Set} {Covering} {Problem} with {Imprecise} {Costs}}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {415--427}, publisher = {EDP-Sciences}, volume = {48}, number = {3}, year = {2014}, doi = {10.1051/ro/2014015}, mrnumber = {3264387}, zbl = {1296.90152}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro/2014015/} }

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 SP - 415 EP - 427 VL - 48 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2014015/ DO - 10.1051/ro/2014015 LA - en ID - RO_2014__48_3_415_0 ER -

%0 Journal Article %A Gupta, Rashmi %A Saxena, Ratnesh Rajan %T Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs %J RAIRO - Operations Research - Recherche Opérationnelle %D 2014 %P 415-427 %V 48 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2014015/ %R 10.1051/ro/2014015 %G en %F RO_2014__48_3_415_0

Gupta, Rashmi; Saxena, Ratnesh Rajan. Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs. RAIRO - Operations Research - Recherche Opérationnelle, Volume 48 (2014) no. 3, pp. 415-427. doi : 10.1051/ro/2014015. http://archive.numdam.org/articles/10.1051/ro/2014015/

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