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
Diagonals of continuous triangular norms
β Scribed by Radko Mesiar; Mirko Navara
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 429 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
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.
π SIMILAR VOLUMES
This third and last part of a series of position papers on triangular norms (for
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.
The problem of whether a non-trivial convex combination of two continuous t-norms with the same diagonal function can be a t-norm is studied. It is shown that in both cases -of two nilpotent and of two strict t-norms -a non-trivial convex combination of t-norms with common diagonal function is assoc