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https://open.uns.ac.rs/handle/123456789/11697
Title: | A characterization of the ordering of continuous t-norms | Authors: | Klement E. Mesiar R. Pap E. |
Issue Date: | 1-Jan-1997 | Journal: | Fuzzy Sets and Systems | Abstract: | Given two t-norms T1 and T2, it is quite often difficult or even impossible to check directly whether T1≤ T2. In Schweizer and Sklar (1983), a necessary and sufficient condition is given for continuous Archimedean t-norms to be comparable. We simplify this result, proving a sufficient condition which involves only one argument of a one-place function rather than two arguments. This result is applied to show the monotonicity of some well-known classes of t-norms. Next, we generalize the result of Schweizer and Sklar to the case of all continuous t-norms and present also a sufficient condition, which is again easier to check. © 1997 Elsevier Science B.V. | URI: | https://open.uns.ac.rs/handle/123456789/11697 | ISSN: | 01650114 | DOI: | 10.1016/0165-0114(95)00407-6 |
Appears in Collections: | PMF Publikacije/Publications |
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