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International Scientific and Practical Conference
"Electronics and Information Technologies"
| Issue 10, Pages: A-54-A-56 |
| DOI: https://doi.org/10.30970/elit2018.A17 |
| Parameterized Archimedean Triangular Norm |
| R. Vorobel, O. Berehulyak |
| The use and construction of triangular norms as the basic part of logical connectives of fuzzy systems is considered. Herewith, the transformation of functions which use the Lambert W-function and its inverse is taken for the basis. To expand the functional characteristics of the constructed new triangular norm, its parametrization is applied. This provided a possible change in the hyper-surface of the triangular norm within wide limits. It is proved that the proposed function satisfies the requirements of such axioms as commutativity, associativity, monotonicity and boundary conditions. Proposed parameterized triangular norm is of a strict and Archimedean type. |
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© Ivan Franko National University of Lviv, 2018
Developed and supported - Laboratory of high performance computing systems
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