Implication operators on bounded posets of closed intervals: A New approach

Document Type : Research Paper

Authors

1 Karadeniz Technical University Faculty of Science Department of Mathematics

2 Karadeniz Technical University Faculty of Scince Department of Mathematics TRABZON/TURKEY

3 Slovak University of Technology in Bratislava

10.22111/ijfs.2026.54178.9595

Abstract

In this paper, under the inclusion order, we investigate fuzzy implication construction methods on P^S, the poset of closed intervals of a bounded poset P. We first propose some methods for constructing a fuzzy implication on P^S using pre-implications, up-sets, and down-sets on P. Next, we add two new construction methods based only on the relationship between elements of P^S. The methods are supported by propositions, examples, and related results.

Keywords

Main Subjects

References

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Iranian Journal of Fuzzy Systems
Volume 23, Issue 2
March and April 2026
Pages 141-156

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