Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/13560
Title: | Quasi- and pseudo-inverses of monotone functions, and the construction of t-norms | Authors: | Klement E. Mesiar R. Pap E. |
Issue Date: | 16-May-1999 | Journal: | Fuzzy Sets and Systems | Abstract: | Several properties of quasi-and pseudo-inverses of a non-decreasing real function are discussed. Based on a result of Schweizer and Sklar, for a given triangular norm T and non-decreasing function f a construction method leading to a commutative, fully ordered semigroup on the unit interval is given. A similar construction based on the pseudo-inverse implies that the resulting operation will be bounded from above by the minimum, but then the associativity may be violated. Several sufficient conditions for constructing new t-norms from a given one and a non-decreasing function f, based on its quasi-inverses and on its pseudo-inverse, respectively, are discussed, together with illustrative examples. © 1999 Published by Elsevier Science B.V. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/13560 | ISSN: | 01650114 | DOI: | 10.1016/S0165-0114(98)00252-8 |
Appears in Collections: | PMF Publikacije/Publications |
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