IJPAM: Volume 85, No. 4 (2013)
LINEAR FUZZY SET COVERING PROBLEM
Deen Dayal Upadhyaya College
University of Delhi
Delhi, 110015, INDIA
2Department of Mathematics
University of Delhi
Delhi, 110007, INDIA
Abstract. In this paper a method for solving linear
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 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 set covering problem is suggested. In order to
defuzzify the problem the concept of vector ranking function is given and for obtaining efficient solution to the
problem, an algorithm is constructed with a weighted sum approach.An example is illustrated to demonstrate the correctness of the proposed solution algorithm.
Received: December 26, 2011
AMS Subject Classification:
Key Words and Phrases: set covering, fuzzy number, vector ranking function
Download paper from here.
DOI: 10.12732/ijpam.v85i4.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 4