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Finitely Valued Indistinguishability Operators

  • Jordi Recasens
Chapter
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Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 260)

Abstract

The literature contains examples of indistinguishability operators valued in more general structures than the unit interval endorsed by a t-norm. In [60] [58], for example, indistinguishability operators are studied under category theory. In [23], the unit interval was generalized to GL-monoids. These generalizations are very useful, because they simplify the study of some specific cases. For example, many of the results found in this chapter about finitely valued indistinguishability operators can be proved in exactly the same way as in the unit interval case because both are GL-monoids.

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© Springer-Verlag Berlin Heidelberg 2010

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  • Jordi Recasens

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