Abstract
In this work we study the concept of PZ-compatibility, which holds for those t-norms for which Zadeh's probability of fuzzy events fulfills Kolmogorov's axioms. Whether a probability satisfies Kolmogorov's axioms or not depends almost exclusively on the t-norm and dual t-conorm used to define intersection and union, respectively, of fuzzy sets. In order to better understand fuzzy probability theory, we provide a complete characterization of the PZ-compatible continuous t-norms.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
