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Triangular norms and TNF-sigma-algebras

✍ Scribed by Yu Yandong


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
661 KB
Volume
16
Category
Article
ISSN
0165-0114

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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

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✍ 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