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Fuzzy Numbers: Positive and Nonnegative

2008

Abstract

In this paper we emphasize that the definition of positive fuzzy number in D.Dubois, H. Prade, Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York, 1980 (page 49), and also recently quoted for solving fully fuzzy linear systems in M. Dehghan et al., Applied Mathematics and Computation 179 (2006) 328-343, is in fact a definition for the nonnegative fuzzy number. Moreover, we give two different definitions for nonnegative and positive triangular fuzzy numbers to eliminate this shortcoming.