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Triangular norms. Position paper III: continuous t-norms

✍ Scribed by Erich Peter Klement; Radko Mesiar; Endre Pap

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
444 KB
Volume
145
Category
Article
ISSN
0165-0114

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✦ Synopsis

This third and last part of a series of position papers on triangular norms (for

πŸ“œ SIMILAR VOLUMES

On continuous triangular norms
On continuous triangular norms
✍ Sandor Jenei; JΓ‘nos C. Fodor πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 447 KB

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
Diagonals of continuous triangular norms
✍ Radko Mesiar; Mirko Navara πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 429 KB

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 approxima
Smoothly generated Archimedean approximation of continuous triangular norms
✍ SΓ‘ndor Jenei; Endre Pap πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 447 KB

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.