Idempotent uninorms and nullnorms on bounded posets

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.

کلیدواژه ها:

Associative operation ، idempotent semi-group ، commutative monoids ، Fuzzy connectives