Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices
Year: 2026
Type: article
Abstract: In this paper, we propose new construction methods for generating implication operators based onorder-preserving or order-reversing functions on a bounded lattice. These methods establish a broader framework, allowing for the generation of a wider class of implication operators through the selection of monotonic functions. Furthermore, illustrative examples, figures, and the corresponding results are presented.
Authors: Funda Karaçal, Kübra Karacair
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: W7221661824