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Interval-valued contractive fuzzy negations

Interval-valued contractive fuzzy negations,10.1109/FUZZY.2010.5584635,Benjamin Bedregal,Humberto Bustince,Javier Fernandez,Glad Deschrijver,Radko Mes

Interval-valued contractive fuzzy negations  
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In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the only strict (strong) contractive interval-valued fuzzy negation is the one generated from the standard (Zadeh's) negation.
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