ON 2 THEORIES OF FUZZY SYNTOPOGENY FOR THE FRAMEWORK FNS

Authors
KANDIL A ELSALAMONY G
Citation
A. Kandil et G. Elsalamony, ON 2 THEORIES OF FUZZY SYNTOPOGENY FOR THE FRAMEWORK FNS, Fuzzy sets and systems, 57(2), 1993, pp. 227-238
Citations number
14
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Computer Applications & Cybernetics","Statistic & Probability",Mathematics
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
57
Issue
2
Year of publication
1993
Pages
227 - 238
Database
ISI
SICI code
0165-0114(1993)57:2<227:O2TOFS>2.0.ZU;2-E
Abstract
Two notions of fuzzy syntopogeny have been introduced for the framewor k FNS of fuzzy neighbourhood spaces: one by Katsaras and the other by Mashhour, Morsi and El-Tantawy. We identify a property that holds in a ll the special types of interest from Katsaras' fuzzy topogenous order s, and we call it structure A. We show that the Katsaras' fuzzy topoge nous orders of structure A are completely determined by their behaviou r on ordinary subsets. We then establish natural bijections between th em and the saturated N. topogenous orders of Mashhour et al. Those bij ections are related to Flushoh's ideas on fuzzy filters.