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Generalized convex combination of implications on bounded lattices | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 17، شماره 6، بهمن و اسفند 2020، صفحه 75-91 اصل مقاله (232.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5602 | ||
| نویسندگان | ||
| M. N. Kesicioglu* 1؛ U. Ertugrul2؛ F. Karacal2 | ||
| 1Department of Mathematics, Recep Tayyip Erdogan University, 53100 Rize, Turkey | ||
| 2Department of Mathematics, Karadeniz Technical University, Trabzon, 61080, Turkey | ||
| چکیده | ||
| In this paper, the notions of the linear and g-convex combination for implications which extend the notion of convex combination of fuzzy implications on the unit interval to bounded lattices are introduced. A necessary and sufficient condition for the g-convex combination to be an implication is determined. Some basic properties of the g-convex combinations are discussed. Also, some sets which are defined by the linear (g-convex) combination of two implications on a bounded lattice are studied and the relationships between them are discussed. Moreover, the lattice theoretical structure of the mentioned sets is investigated. | ||
| کلیدواژهها | ||
| Fuzzy implication؛ linear combination؛ convex combination؛ bounded lattice | ||
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آمار تعداد مشاهده مقاله: 907 تعداد دریافت فایل اصل مقاله: 677 |
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