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A note on the continuity of triangular norms

✍ Scribed by Shen, Zhiqiang; Zhang, Dexue

Book ID
122229407
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
278 KB
Volume
252
Category
Article
ISSN
0165-0114

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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

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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.