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A general approach to the concept of fuzzy number associated to a generalized equality on the real line is given. As a result, the use of triangular and trapezoidal fuzzy numbers, among other types, is justified and a representation theo rem that allows the construction of indistinguishability operators on the real line based on t-norms is presented. The families of fuzzy numbers invariant under traslations are characterized.
CitationJacas, J.; Recasens, J. Fuzzy numbers and equality relations. A: FUZZ-IEEE-93. "?". IEEE pub., 1993, p. 1298-1301.
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