Title of article :
Idempotent uninorms and nullnorms on bounded posets
Author/Authors :
Kalina, M. Department of Mathematics - Faculty of Civil Engineering - Slovak University of Technology, Bratislava, Slovakia , Staˇsov, ´O. 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 :
Associative operation , idempotent semi-group , commutative monoids , fuzzy connectives
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
