Some Construction Methods for Implication Operators on Bounded Lattices
Year: 2024
Type: article
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.
Source: Journal of Universal Mathematics
DOI: 10.33773/jum.1575271
Authors: Funda Karaçal, Kübra Karacair, Ümit Ertuğrul
Institution: Karadeniz Technical University
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405229918