Kybernetika 57 no. 2, 352-371, 2021

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

Emel AşıcıDOI: 10.14736/kyb-2021-2-0352

Abstract:

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.

Keywords:

t-norm, ordinal sum, t-conorm, bounded lattice

Classification:

03E72, 03B52

paper.pdf

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