A new Technique for Solving A Linear Pro- gramming Problem with Homogeneous constraints in Fuzzy Environment
S. R. Mohan, S. Sekar · 2014
This paper proposes a technique for solving a Fuzzy Linear Programming Problem(FLPP) when some of its constraints are fuzzy homogeneous. Using these fuzzy homogeneous constraints a fuzzy transformation matrix is constructed. This fuzzy transformation matrix transforms the given problem in to another FLPP with fewer fuzzy constraints. A relationship between these two problems, which ensures that the solution of the original problem can be recovered from the solution of the transformed problem. A simple numerical example explains the steps of the proposed techniques.