Idempotent uninorms and nullnorms on bounded posets

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia

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 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.

Keywords

Iranian Journal of Fuzzy Systems
Volume 18, Issue 5
September and October 2021
Pages 53-68

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