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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 | ||
آمار تعداد مشاهده مقاله: 150 تعداد دریافت فایل اصل مقاله: 231 |