Idempotent uninorms and nullnorms on bounded posets
Publish place: Iranian Journal of Fuzzy Systems، Vol: 18، Issue: 5
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-18-5_005
تاریخ نمایه سازی: 30 مرداد 1400
Abstract:
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 ۲۰۱۹], they were introduced on bounded posets. This contribution is a generalization and extension of the results in [Kalina ۲۰۱۹]. 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.
Authors
M. Kalina
Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia
O. Staˇsov´a
Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia