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

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.

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

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

Cite this paper

nullF. Mazarbhuiya, A. Mahanta and H. Baruah, "Solution of the Fuzzy Equation*A + X = B* Using the Method of Superimposition," *Applied Mathematics*, Vol. 2 No. 8, 2011, pp. 1039-1045. doi: 10.4236/am.2011.28144.

nullF. Mazarbhuiya, A. Mahanta and H. Baruah, "Solution of the Fuzzy Equation

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