A novel method for solving multi- objective linear fractional programming problem under uncertainty

This paper deals with a multi-objective linear fractional programming problem in fuzzy environment. The problem is considered by introducing all the parameters as piecewise quadratic fuzzy numbers. Through the use of the associated real number of the close interval approximation and the order relation of the piecewise quadratic fuzzy numbers, the problem is transformed into the corresponding crisp problem. A proposed method introduces to generate ideals and the set of all fuzzy efficient solutions. The advantage of it helps the decision maker to handle the real life problem. A numerical example is given illustrate the method.

Keywords:

Linear fractional programming , Multi-objective decision making , Piecewise quadratic fuzzy number , Close interval approximation , Proposed method , Hungarian method , Fuzzy optimal solution