PROCEEDINGS IPMU '08

Triangular norms which are meet-morphisms in Atanassov’s intuitionistic fuzzy set theory

Glad Deschrijver

In this paper we consider a special class of t-norms T_T1,T2,t on the lattice L^I , where L^I is the underlying lattice of both intuitionistic fuzzy set theory (Atanassov, 1983) and interval-valued fuzzy set theory (Sambuc, 1975). We investigate under which conditions these tnorms are meet-morphisms. Using these results, we obtain a characterization for t-norms on L^I which are both join- and meet-morphisms and which satisfy an additional condition.

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