SOME CONSTRUCTION METHODS FOR IMPLICATION OPERATORS ON BOUNDED LATTICES

Year 2024, Volume: 7 Issue: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", 175 - 189, 29.12.2024

Funda Karaçal , Kübra Karacair , Ümit Ertuğrul

https://doi.org/10.33773/jum.1575271

Abstract

In this paper, we focus the construction methods of implications on bounded lattices. We introduce several methods to obtain implication on bounded lattices. We basically base on implication defined on subinterval such as [a,1] or [0,b] of the bounded lattice L which has a,b ∈ L with a ≤ b for these construction methods. We also use fuzzy logic operators such as t-norms, t-conorms, negations and implications on L in some construction methods. In addition, we give some remarks and examples to make the new construction methods.

Keywords

Implication, t-norm, negation, bounded lattice, subinterval

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