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Implication operators on bounded posets of closed intervals: A New approach | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 23، شماره 2، خرداد و تیر 2026، صفحه 141-156 اصل مقاله (412.53 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2026.54178.9595 | ||
| نویسندگان | ||
| Funda Karaçal1؛ Kübra Karacair1؛ Ümit Ertuğrul* 2؛ Radko Mesiar3 | ||
| 1Karadeniz Technical University Faculty of Science Department of Mathematics | ||
| 2Karadeniz Technical University Faculty of Scince Department of Mathematics TRABZON/TURKEY | ||
| 3Slovak University of Technology in Bratislava | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Fuzzy implication؛ closed intervals؛ inclusion order؛ up-sets؛ down-sets | ||
| مراجع | ||
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