Interactive fuzzy programming procedure for Trilevel Quadratic Fractional Programming

摘要

In this paper we proposed to study the Trilevel Quadratic Fractional Programming Problem through Interactive Fuzzy Programming procedure. In this procedure, First of all the upper levels determine their fuzzy goals and they possess their preference in the form of constraints. Then, lower level optimizes its goals by considering the preference of upper levels and hence a satisfactory solution can be achieved by modifying the satisfactory degrees of the upper level decision makers until the overall satisfactory balance between all the levels of decision makers will not be attained. This procedure can be effectively used in determining the satisfactory optimum solution of required multilevel programming problem. To check the practicability of our proposed method, we are also yielding a numerical example of quadratic fractional programming problem with three levels.