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- Title
On modularity property for uninorms with continuous underlying functions.
- Authors
Xie, A.; Zhang, J. Q.
- Abstract
In literature, for the four usual classes of uninorms, the modularity equation has been solved except for the kind of ones having continuous underlying functions. This paper is devoted to solving the modularity equation involving two uninorms with continuous underlying functions. We discuss this modularity equation in detail by dividing the main section into two parts. The structure characterization of the two uninorms is almost completely obtained and it is found that they are equal in the unit square except in a subdomain.
- Subjects
CONTINUOUS functions; FUNCTIONAL equations; EQUATIONS
- Publication
Iranian Journal of Fuzzy Systems, 2024, Vol 21, Issue 2, p105
- ISSN
1735-0654
- Publication type
Article
- DOI
10.22111/IJFS.2024.46579.8211