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Idempotent uninorms and nullnorms on bounded posets | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 18، شماره 5، آذر و دی 2021، صفحه 53-68 اصل مقاله (226.76 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2021.6255 | ||
| نویسندگان | ||
| M. Kalina* ؛ O. Staˇsov´a | ||
| Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia | ||
| چکیده | ||
| The paper deals with uninorms and nullnorms as basic semi-group operations which are commutative and monotone (increasing). These operations were first introduced on the unit interval and later generalized to bounded lattices. In [Kalina 2019], they were introduced on bounded posets. This contribution is a generalization and extension of the results in [Kalina 2019]. Some necessary and some sufficient conditions for the existence of idempotent uninorms and idempotent nullnorms on bounded posets are studied. Finally, some application examples are provided. | ||
| کلیدواژه‌ها | ||
| Associative operation؛ idempotent semi-group؛ commutative monoids؛ fuzzy connectives | ||
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آمار تعداد مشاهده مقاله: 160 تعداد دریافت فایل اصل مقاله: 238 |
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