𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the continuity of residuals of triangular norms

✍ Scribed by Balasubramaniam Jayaram


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
529 KB
Volume
72
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


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
✍ 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
✍ 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.

Left-continuity of -norms on the -dimens
✍ Guojun Wang; Wei Wang πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 397 KB

Left-continuity of t-norms on the unit interval [0, 1] is equivalent to the property of suppreserving, but this equivalence does not hold for t-norms on the n-dimensional Euclidean cube [0, 1] n for n β‰₯ 2. Based on the concept of direct poset we prove that a t-norm on [0, 1] n is left-continuous if

Continuity Properties of Probabilistic N
✍ Claudi Alsina; Berthold Schweizer; Abe Sklar πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 165 KB

Probabilistic normed PN spaces are real linear spaces in which the norm of each vector is an appropriate probability distribution function Ε™ather than a number. Such spaces were first introduced by A. N. Serstnev w x in 1963 3 . w x In a recent paper 1 , we gave a new definition of PN spaces that ǐn