Diagonals of continuous t-norms are studied. The characterization of all functions being diagonals of continuous t-norms is given. To a given diagonal, the class of all continuous t-norms with this diagonal is characterized.
Smoothly generated Archimedean approximation of continuous triangular norms
✍ Scribed by Sándor Jenei; Endre Pap
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 447 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
A constructive method is given for approximating a given continuous triangular norm by a sequence of smoothly generated Archimedean triangular norms in the uniform metric.
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