Kybernetika 60 no. 6, 694-722, 2024

Conditional distributivity of overlap functions over uninorms with continuous underlying operators

Hui Liu and Wenle LiDOI: 10.14736/kyb-2024-6-0694

Abstract:

The investigations of conditional distributivity are encouraged by distributive logical connectives and their generalizations used in fuzzy set theory and were brought into focus by Klement in the closing session of Linzs 2000. This paper is mainly devoted to characterizing all pairs $(O,F)$ of aggregation functions that are satisfying conditional distributivity laws, where $O$ is an overlap function, and $F$ is a continuous t-conorm or a uninorm with continuous underlying operators.

Keywords:

uninorm, aggregation function, overlap function, conditional distributivity

Classification:

08A72, 94A08

paper.pdf

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