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Fuzzy Linear Fractional Set Covering Problem with Imprecise Costs

Published online by Cambridge University Press:  22 May 2014

Rashmi Gupta  and
Ratnesh Rajan Saxena
Rashmi Gupta
Affiliation:
Department of Mathematics, University of Delhi, 110007 Delhi, India.. smsrashmigupta@gmail.com
Ratnesh Rajan Saxena
Affiliation:
Department of Mathematics, Deen Dayal Upadhyaya College (University of Delhi), Karampura, 110015 New Delhi, India.; ratnesh65@gmail.com
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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.

Keywords

Fuzzy fractional set covering problemα-optimal solutionfuzzy solution
Type
Research Article
Information
RAIRO - Operations Research , Volume 48 , Issue 3 , July 2014 , pp. 415 - 427
Copyright
© EDP Sciences, ROADEF, SMAI, 2014

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