Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

A New Modified Optimal Perfect Matching in Partial Feasible Matching for Solving Fuzzy Linear Sum Assignment Problems

1P.G. and Research Department of Mathematics, Jamal Mohammed College (Autonomous), Tiruchirappalli, Tamil Nadu620020, India

2P.G. and Research Department of Mathematics, Jamal Mohammed College (Autonomous), Tiruchirappalli, Tamil Nadu620020, India

*A. Nagoor Gani, P.G. and Research Department of Mathematics, Jamal Mohammed College (Autonomous) Tiruchirappalli, Tamil Nadu 620020, India. E-mail: ganijmc@yahoo.co.in

**E-mail: shiekpareeth.t@gmail.com

Abstract

In this paper, the partial feasible assignment cost and the optimal assignment cost for solving fuzzy linear sum assignment problem is computed. Here, cij is denotes the cost for optimal assigning through the jth job to the ith person. Here is ω-trapezoidal fuzzy number and we use the ranking technique.

Keywords

ω- Trapezoidal fuzzy numbers, Fuzzy dual variables, Bipartite graph, Fuzzy Ranking technique, 90B80, 09C05, 03E72