Probablistic convergence spaces and regularity

P. Brock and D. C. Kent

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-10

Abstract:

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 R T 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.

Date: 1997
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/20/417958.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/20/417958.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:417958

DOI: 10.1155/S0161171297000896

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().