Abstract
Associativity of a two-place function T:[0,1]2→[0,1] defined by T(x,y)=f(−1)(T⁎(f(x),f(y))) where T⁎:[0,1]2→[0,1] is an associative function with neutral element in [0,1], f:[0,1]→[0,1] is a monotone right continuous function and f(−1):[0,1]→[0,1] is the pseudo-inverse of f depends only on properties of the range of f. The necessary and sufficient conditions for the T to be associative are presented by applying the properties of the monotone right continuous function f.
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.
