(2008-6077) 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

10.22111/ijfs.2021.6162

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.

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