Triangular norms which are meet-morphisms in intuitionistic fuzzy set theory
Glad Deschrijver · Ghent University Academic Bibliography (Ghent University) · 2008
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 t-norms 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.