Abstract

In this paper, we further study the distributivity for uninorms with noncontinuous underlying operators, where the first uninorm is in one of the known classes of uninorms, i.e., Umax, Umin, uninorms continuous in the open unit square and the second uninorm has a noncontinuous underlying operator. When the first uninorm is in Umax or Umin, the necessary conditions (resp. sufficient conditions) for the distributivity for uninorms are discussed with respect to some certain conditions. Considering the first uninorm continuous in the open unit square, the characterizations of the distributivity for uninorms are discussed. In particular, the uninorms in the distributivity equation have to be both disjunctive or both conjunctive at the same time, where the first uninorm is in Umax, Umin and uninorms continuous in the open unit square.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.