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.
Archimedean and continuity
β Scribed by Edi Karni
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 111 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0165-4896
No coin nor oath required. For personal study only.
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A brief survey of representations of Archimedean Riesz spaces in spaces of continuous extended real-valued functions, together with an example of their use in proving results about Riesz spaces Mathematics Subject Classifications (1991): 46A40, 46B40
## Abstract Let Ο be a symmetric binary function, positive valued on positive arguments. A graph __G__ = (__V__,__E__) is a Οβ__tolerance graph__ if each vertex Ο β __V__ can be assigned a closed interval __I__~Ο ~ and a positive tolerance __t__~Ο ~ so that __xy__ β __E__ β | __I__~x~ β© __I__~y~|β₯ Ο