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( 2301-7844 ) Characterizing three classes of idempotent uninorms on a bounded lattice | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 20، شماره 5، آذر و دی 2023، صفحه 109-120 اصل مقاله (181.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7685 | ||
| نویسندگان | ||
| Y. Su* 1، 2، 3؛ Z. Wang4؛ A. Mesiarova-Zemankova5، 6؛ R. Mesiar6، 7 | ||
| 1School of Mathematics Sciences, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China | ||
| 2Jiangsu Industrial Intelligent and Low-carbon Technology Engineering Center, Suzhou, Jiangsu 215009, China | ||
| 3Suzhou Key Laboratory of Intelligent Low-carton Technology Application, Suzhou, Jiangsu 215009, China | ||
| 4School of Mathematics and Statistics, Yancheng Teachers University, Jiangsu 224002, China | ||
| 5Mathematical Institute, Slovak Academy of Sciences, \v Stef\' anikova 49, SK- 814 73 Bratislava, Slovakia | ||
| 6Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, CE IT4Innovations, 30. dubna 22, 701 03 Ostrava, Czech Republic | ||
| 7Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology Bratislava, Radlinsk\' eho 11, 810 05 Bratislava, Slovakia | ||
| چکیده | ||
| This study presents characterizations of three classes of idempotent uninorms on a bounded lattice by the orders of their associated meet-semilattices. The first one is the class of internal uninorms, the second one is the class of idempotent uninorms defined on a lattice in which all elements are comparable with the corresponding neutral element and the third one is the class of idempotent uninorms defined on a lattice in which a single point is incomparable with the corresponding neutral element. | ||
| کلیدواژه‌ها | ||
| Bounded lattice؛ internal uninorm؛ idempotent uninorm؛ partial order | ||
| مراجع | ||
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