Implication operators on bounded posets of closed intervals: A New approach
نویسندگان
1 Karadeniz Technical University Faculty of Science Department of Mathematics
2 Karadeniz Technical University Faculty of Science Department of Mathematics
3 Karadeniz Technical University Faculty of Scince Department of Mathematics TRABZON/TURKEY
4 Slovak University of Technology in Bratislava
doi
10.22111/ijfs.2026.54178.9595چکیده
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.
