Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 3, pp. 415-427.

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.

DOI : 10.1051/ro/2014015
Classification : 90C70, 90C10
Mots-clés : fuzzy fractional set covering problem, α-optimal solution, fuzzy solution 
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     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},
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     url = {http://archive.numdam.org/articles/10.1051/ro/2014015/}
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Gupta, Rashmi; Saxena, Ratnesh Rajan. Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs. RAIRO - Operations Research - Recherche Opérationnelle, Tome 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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