Implication operators on bounded posets of closed intervals: A new approach
IRANIAN JOURNAL OF FUZZY SYSTEMS, vol.23, no.2, pp.141-156, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 23 Issue: 2
- Publication Date: 2026
- Doi Number: 10.22111/ijfs.2026.54178.9595
- Journal Name: IRANIAN JOURNAL OF FUZZY SYSTEMS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO)
- Page Numbers: pp.141-156
- Karadeniz Technical University Affiliated: Yes
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.