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T-Norms on Bounded Lattices: t-norm Morphisms and Operators

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3 Author(s)
Bedregal, B.C. ; Fed. Univ. of Rio Grande do Norte, Rio Grande ; Santos, H.S. ; Callejas-Bedregal, R.

Triangular norms or t-norm, in short, and automorphisms are very useful to fuzzy logics in the narrow sense. Moreover, these notions are usually limited to the set [0,1]. In this paper we will consider a well known generalization of the t-norm for arbitrary bounded lattices and provide a generalization of automorphism notion for this same structure. We consider several typical lattice constructors and introduce versions of them for t-norms and morphisms. We also analyze some properties of these constructions.

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Fuzzy Systems, 2006 IEEE International Conference on

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