THIS PAPER SUGGESTS AN ITERATIVE CONVERGENT METHOD FOR FINDING A DISCRETE APPROXIMATION TO THE NONDOMINATED SET OF A MULTI OBJECTIVE Linear fractional programming PROBLEM. THE METHOD IS ORGANIZED SO THAT THE RESULTING APPROXIMATION SET HAS ACCEPTABLE QUALITY MEASURES. THE RESULTING SET IS AN E -APPROXIMATION TO THE NONDOMINATED SET WHERE E IS A TOLERANCE VECTOR. ALSO, IT DOES NOT GENERATE REDUNDANT INFORMATION.

IN THIS PAPER A NEW METHOD IS SUGGESTED FOR SOLVING MULTI-OBJECTIVE Linear fractional programming PROBLEM. THE PROPOSED METHOD IS BASED UPON TRANSFORMING TO MULTI-OBJECTIVE Linear programming PROBLEM BY USING V.JOSHI, E.SINGH, N.GUPTA, PRIMAL-DUAL APPROACH TO SOLVE Linear fractional programming PROBLEM, JOURNAL OF THE APPLIED MATHEMATICS, STATISTICS AND INFORMATICS (JAMSI), 4 (2008), NO.1. IN THE END, THE PROPOSED METHOD HAVE BEEN UTILIZED FOR EXAMPLES.

THIS PAPER PRESENTS COMPENSATORY FUZZY GOAL PROGRAM-MING FOR DECENTRALIZED BI-LEVEL Linear fractional programming PROB-LEMS WITH THE ESSENTIALLY COOPERATIVE DECISION MAKERS. IN THE PRO-POSED METHOD, UPPER LEVEL DECISION MAKER DETERMINES TOLERANCES OF THE LEFT AND RIGHT SIDES FOR HIS DECISION VARIABLE. ILLUSTRATIVE NUMERICAL EXAMPLE IS PROVIDED TO DEMONSTRATE THE FEASIBILITY AND ECIENCY OF THE PROPOSED METHOD.