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Solution of the Fuzzy Equation <i>A + X = B</i> Using the Method of Superimposition
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Applied Mathematics·Volume 02 (2011)·Pages 1039–1045·Published 3 August 2011·DOI10.4236/am.2011.28144
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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.
KeywordsFuzzy NumberPossibility DistributionProbability DistributionSurvival FunctionSuperimposition of SetsSuperimposition of Intervalsα-Cut Method
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