On extensions of triangular norms on bounded lattices

By Susanne Saminger-Platz, Erich-Peter Klement, Radko Mesiar. 2008

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Abstract Smallest and largest possible extensions of triangular norms on bounded lattices are discussed. As such ordinal and horizontal sum like constructions for t-norms on bounded lattices are investigated. Necessary and sufficient conditions for the lattice guaranteeing that the extension is again a t-norm are revealed.

Subfields: Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/c2669484125214c51eaf09692810f798e13d87fb