Solution of the Fuzzy Equation A + X = B Using the Method of Superimposition

Fokrul Alom Mazarbhuiya, Anjana Kakoti Mahanta, Hemanta K. Baruah

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DOI: 10.4236/am.2011.28144                

Abstract

Fuzzy equations were solved by using different standard methods. One of the well-known methods is the method of α-cut. The method of superimposition of sets has been used to define arithmetic operations of fuzzy numbers. In this article, it has been shown that the fuzzy equation , where A, X, B are fuzzy numbers can be solved by using the method of superimposition of sets. It has also been shown that the method gives same result as the method of α-cut.

Keywords

Fuzzy Number, Possibility Distribution, Probability Distribution, Survival Function, Superimposition of Sets, Superimposition of Intervals, α-Cut Method

Conflicts of Interest

The authors declare no conflicts of interest.

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