OPTIMAL FUZZY SOLUTION FOR FULLY FUZZY INTEGER  LINEAR PROGRAMMING PROBLEMS

D Stephen Dinagar; M Mohamed  Jeyavuthin

doi:10.48165/

Authors

D Stephen Dinagar Associate Professor, P.G. & Research Department of Mathematics, T.B.M.L. College, Porayar, Tamil Nadu 609 307, India.
M Mohamed Jeyavuthin Research Scholar, P.G. & Research Department of Mathematics, T.B.M.L. College, Porayar, Tamil Nadu 609 307, India.

DOI:

https://doi.org/10.48165/

Keywords:

Integer linear programming, Bound and Decomposition method, optimal fuzzy solution, Fuzzy number, Pentagonal fuzzy number

Abstract

The aim of this paper is to find an optimal fuzzy solution for fully fuzzy integer linear programming (FFILP) problems with pentagonal fuzzy numbers by using bound and decomposition method. In this method, the given FFILP problem is decomposed into crisp integer linear programming (CILP) problems with bounded variables constraints and then the CILP problems can be solved to get optimal solutions. Moreover the optimal fuzzy solutions are obtained for FFILP problem by using the obtained optimal solutions of the CILP problem. A relevant numerical example is included to justify the proposed notion.

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