New constructions of lattice-valued quasi-overlap functions

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Zhang Y.Q.; Liu H.W.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2023 | Volume:20 | Issue:1 Page(s): 103-117

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Information Journal Paper

Title

New constructions of lattice-valued quasi-overlap functions

Author(s)

Zhang Y.Q. | Liu H.W. | Issue Writer Certificate

Keywords

Quasi-overlap functions

bounded lattices

t-conorms

negations

implications

Abstract

In this paper, we first investigate some properties of lattice-valued Quasi-overlap functions, which includes the relation between Quasi-overlap functions and three kinds of aggregation functions and the Lipschitz property. Then we provide two new construction methods for lattice-valued Quasi-overlap functions. One applies t-conorms and negations, the other involves Quasi-overlap functions and implications. Examples are presented and some analytical properties are studied as well.

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