Probablistic convergence spaces and regularity
The usual definition of regularity for convergence spaces can be characterized by a diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t-norm T, and the resulting axiom RT defines T-regularity, which is the primary focus of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000896 |
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| Summary: | The usual definition of regularity for convergence spaces can be characterized by a
diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t-norm T, and the resulting axiom RT defines T-regularity, which is the primary focus of this paper. We give several characterizations of T-regularity, both in
general and for specific choices of T, and investigate some of its basic properties. |
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| ISSN: | 0161-1712 1687-0425 |