The behaviour of the additive generator functions related to a sequence of convergent continuous Archimedean triangular norm (where the limit triangular norm is continuous Archimedean) is examined in this paper. It is proved that the related generator functions converge to the generator function of
On reversible triangular norms
✍ Scribed by János Fodor; Sándor Jenei
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 586 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
We completely characterize those continuous triangular norms which are recently called reversible. This characterization is a step toward the solution of an open problem raised by Kimberling [(PUN. Math.
📜 SIMILAR VOLUMES
The problem of converging to any given continuous triangular-norm by a sequence of continuous Archimedean triangular-norms is studied. Such a sequence is built up in a constructive way. The class of well-founded triangular-norms is introduced. It is proved that a sequence of triangular-norms converg
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