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.

PDF full paper |