Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices
Abstract
In this paper, we propose new construction methods for generating implication operators based on
order-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.
Keywords
References
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Details
Primary Language
English
Subjects
Mathematical Logic, Set Theory, Lattices and Universal Algebra
Journal Section
Research Article
Publication Date
October 13, 2026
Submission Date
November 26, 2024
Acceptance Date
March 29, 2026
Published in Issue
Year 2026 Volume: 18 Number: 3
APA
Karaçal, F., & Karacair, K. (2026). Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices. Turkish Journal of Mathematics and Computer Science, 18(3), 780-799. https://doi.org/10.47000/tjmcs.1591462
AMA
1.Karaçal F, Karacair K. Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices. TJMCS. 2026;18(3):780-799. doi:10.47000/tjmcs.1591462
Chicago
Karaçal, Funda, and Kübra Karacair. 2026. “Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices”. Turkish Journal of Mathematics and Computer Science 18 (3): 780-99. https://doi.org/10.47000/tjmcs.1591462.
EndNote
Karaçal F, Karacair K (October 1, 2026) Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices. Turkish Journal of Mathematics and Computer Science 18 3 780–799.
IEEE
[1]F. Karaçal and K. Karacair, “Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices”, TJMCS, vol. 18, no. 3, pp. 780–799, Oct. 2026, doi: 10.47000/tjmcs.1591462.
ISNAD
Karaçal, Funda - Karacair, Kübra. “Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 780-799. https://doi.org/10.47000/tjmcs.1591462.
JAMA
1.Karaçal F, Karacair K. Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices. TJMCS. 2026;18:780–799.
MLA
Karaçal, Funda, and Kübra Karacair. “Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 780-99, doi:10.47000/tjmcs.1591462.
Vancouver
1.Funda Karaçal, Kübra Karacair. Implication Operators by Means of Order-Preserving and Order-Reversing Functions on Bounded Lattices. TJMCS. 2026 Oct. 1;18(3):780-99. doi:10.47000/tjmcs.1591462