On a new class of uninorms constructed by a uninorm on a sublattice of a bounded lattice

Gül Deniz Çaylı, Emrah Kurtuluş · Semigroup Forum · 2025

Abstract In this paper, we introduce two approaches for obtaining new classes of uninorms using the uninorm defined on a sublattice [0, k] (or [t, 1] ) of a bounded lattice L with a neutral element $$e\in ] 0,k[ $$ e ∈ ] 0 , k [ (or $$e\in ] t,1[ $$ e ∈ ] t , 1 [ ) . As a by-product, these tools encompass some of the existing construction methods for uninorms on L. Moreover, we provide some examples to assess the differences between our methods and the existing approaches.

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