Abstract
Recently, Baczyński et al. have introduced two new methods of constructing ordinal sums of fuzzy implications. These methods are based on a construction of ordinal sum of overlap functions and extend some type of algebraic structures. In this paper, we explore the family of ordinal sum implications constructed by one of the method presented in (M. Baczyński, P. Drygaś, A. Król, R. Mesiar (2017), [7]) and examine intersections of this new family of fuzzy implications with (S, N)-, (T, N)-, QL-, D-, R-, Yager's f- and g-implications, respectively. Concretely, this new family of fuzzy implications is shown to be different from the above mentioned implications. Moreover, the necessary and sufficient conditions under which these new ordinal sum implications are distributive over t-norms and t-conorms are given.
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.
