Abstract
In this paper new notions of fuzzy equivalences interpreted as fuzzy connectives are introduced. One of the axioms of such fuzzy equivalences is transitivity defined by the use of a fuzzy conjunction or both a fuzzy conjunction and a parameter α from the unit interval, that is why they are called fuzzy α–C-equivalences. In particular, fuzzy C-equivalences, fuzzy semi-C-equivalences as well as fuzzy weak C-equivalences are considered. Dependencies between the new types of fuzzy equivalences are presented. Moreover, the problem of preservation of axioms of such defined fuzzy equivalences by aggregation functions is examined. As a conclusion, ways of generating new fuzzy equivalences of the considered type from given ones are indicated.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.