A New Computational Methodology to Find Appropriate Solutions of Fuzzy Equations

Abstract

In this paper, a new computational methodology to get an appropriate solution of a fuzzy equation of the form. In support of that some propositions with proofs and theorems are presented. A different approach of the definition of positive fuzzy number and negative fuzzy number have been focused. Also, the concept of half-positive and half-negative fuzzy number has been introduced. The solution of the fuzzy equation can be positive fuzzy number or negative fuzzy number or half positive or half negative fuzzy number which is computed by using the methodology focused in the proposed propositions.

Keywords: Fuzzy number, Fuzzy equation, Positive fuzzy number, Negative fuzzy number, half positive and half negative fuzzy number, a fuzzy number.