| Title:
|
Intuitionistic $I$-fuzzy topological spaces (English) |
| Author:
|
Yan, Cong-hua |
| Author:
|
Wang, Xiao-ke |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
1 |
| Year:
|
2010 |
| Pages:
|
233-252 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The main purpose of this paper is to introduce the concept of intuitionistic ${\rm I}$-fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic $I$-fuzzy topological spaces and the category of intuitionistic $I$-fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic $I$-fuzzy topology is proposed, and the connections among generated intuitionistic $I$-fuzzy topological spaces, fuzzifying topological spaces and $I$-fuzzy topological spaces are discussed. Finally, the properties of the operators ${\rm I}\omega $, $\iota $ are obtained. (English) |
| Keyword:
|
intuitionistic $I$-fuzzy topological space |
| Keyword:
|
intuitionistic fuzzy point |
| Keyword:
|
intuitionistic $I$-fuzzy quasi-coincident neighborhood space |
| Keyword:
|
fuzzifying topology |
| Keyword:
|
$I$-fuzzy topology |
| MSC:
|
54A40 |
| MSC:
|
54E15 |
| idZBL:
|
Zbl 1224.54022 |
| idMR:
|
MR2595086 |
| . |
| Date available:
|
2010-07-20T16:32:11Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140565 |
| . |
| Reference:
|
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