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D. Dubois and H. Prade, “Ranking Fuzzy Numbers in the Setting of Possibility Theory,” Information Science, Vol. 30, No. 3, 1983, pp. 183-224. doi:10.1016/0020-0255(83)90025-7

has been cited by the following article:

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

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

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

  JOURNAL NAME: Applied Mathematics, Vol.2 No.8, August 8, 2011

  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.