IJPAM: Volume 84, No. 5 (2013)


Ratnesh Rajan Saxena1, Rashmi Gupta2
1Department of Mathematics
Deen Dayal Upadhyaya College
University of Delhi
Delhi, 110015, INDIA
2Department of Mathematics
University of Delhi
Delhi, 110007, INDIA

Abstract. In this paper an enumeration technique for solving linear fractional fuzzy set covering problem is defined. Set covering problems belong to the class of 0-1 integer programming problems that are NP-complete. Many applications arises having the set covering problems, switching theory, testing of VLSI circuits and line balancing often take on a set covering structure. Linear fractional set covering problems involving coefficients in the objective function with some lack of precision are usual. To solve them several approaches have been proposed. In this paper a solution algorithm to fuzzy linear fractional set covering problem is suggested, in order to defuzzify the problem the concept of vector ranking function is presented further for obtaining efficient solution to the problem, a lexicographic approach is used. A linearization technique is used to obtain the optimal solution for crisp linear fractional set covering problem. An illustrative example is included to demonstrate the correctness of the proposed solution algorithm.

Received: February 18, 2012

AMS Subject Classification: 05C72

Key Words and Phrases: set covering, fuzzy number, vector ranking function

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DOI: 10.12732/ijpam.v84i5.3 How to cite this paper?
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 5