Abstract
We have fuzzy mathematical programming which is used in making a plan under uncertainty.A lot of methods for solving fuzzy multiple objective programming problems have been proposed in the recent decade. But almost all methods can not deal with some of relationshipbetween uncertain coefficients.So, Ohta et all proposed a method for fuzzy multiple objective linear programming problems with relationship between coefficients. This method focuses on common point betweentwo-stage programming problem and goal programming problem. This method expresses uncertainty as scenarios composed of fuzzy numbers in order to deal with some of relationship between uncertain coefficients. And regrets of objective functions are measuredby indexes which are caught optimistic and pessimistic viewpoints. This method can get the ・solutions considering the balance of all scenarios, all goals, optimistic and pessimistic viewpoints. But this method can not apply in making a plan which includes ratio goals such ・as return on sales, because this method deeals with only linear objective functions. In this paper, we extend the method which is proposed by Ohta et al, propose a method for fuzzy multiple objective linear fractional programming problems with relationship between coefficients. And we propose new method for standardizing indexes that measure regrets in order to consider the balance between objective functions based on aspiration revel which is set by decision maker.
