A Fuzzy Logic-Based Approach to Nonlinear Optimisation Problems Involving Linear Approximation Relationships.

Abstract

A fuzzy logic-based approach to nonlinear optimisation issues including linear approximation relationships is developed in this paper. The suggested approach begins by using Taylor's series to linearly approximate the nonlinear objective function and the constrained functions that make up the feasible regions around an initial feasible point. From there, the nonlinear optimisation problem is subtracted to a linear optimisation or linear programming problem. The optimal fuzzy solution to the problem is found by iterative application of the fuzzy decision-making approach.