On the constructions of t-norms and t-conorms on some special classes of bounded lattices

Emel Aşıcı · Kybernetika · 2021

Recently, the topic related to the construction of triangular norms and triangular conorms on bounded lattices using ordinal sums has been extensively studied.In this paper, we introduce a new ordinal sum construction of triangular norms and triangular conorms on an appropriate bounded lattice.Also, we give some illustrative examples for clarity.Then, we show that a new construction method can be generalized by induction to a modified ordinal sum for triangular norms and triangular conorms on an appropriate bounded lattice, respectively.And we provide some illustrative examples.

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