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NON STANDARD FUZZY ARITHMETIC

    https://doi.org/10.1142/9789814503679_0011Cited by:0 (Source: Crossref)
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    Abstract:

    New non standard operations of subtraction (⊝) and division (Ø), acting on fuzzy numbers, are introduced to solve fuzzy equations with the effect of reducing fuzziness in successive computations. Their properties are presented and it is shown how these operations are combined or related with the usual operations of addition (+) and multiplication (×) in a hybrid fuzzy arithmetic.