Intuitionistic I -fuzzy topological spaces

Cong-hua Yan; Xiao-ke Wang

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 1, page 233-252
  • ISSN: 0011-4642

Abstract

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The main purpose of this paper is to introduce the concept of intuitionistic 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 I ω , ι are obtained.

How to cite

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Yan, Cong-hua, and Wang, Xiao-ke. "Intuitionistic $I$-fuzzy topological spaces." Czechoslovak Mathematical Journal 60.1 (2010): 233-252. <http://eudml.org/doc/38004>.

@article{Yan2010,
abstract = {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.},
author = {Yan, Cong-hua, Wang, Xiao-ke},
journal = {Czechoslovak Mathematical Journal},
keywords = {intuitionistic $I$-fuzzy topological space; intuitionistic fuzzy point; intuitionistic $I$-fuzzy quasi-coincident neighborhood space; fuzzifying topology; $I$-fuzzy topology; intuitionistic -fuzzy topological space; intuitionistic fuzzy point; intuitionistic -fuzzy quasi-coincident neighborhood space; fuzzifying topology; -fuzzy topology},
language = {eng},
number = {1},
pages = {233-252},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Intuitionistic $I$-fuzzy topological spaces},
url = {http://eudml.org/doc/38004},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Yan, Cong-hua
AU - Wang, Xiao-ke
TI - Intuitionistic $I$-fuzzy topological spaces
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 1
SP - 233
EP - 252
AB - 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.
LA - eng
KW - intuitionistic $I$-fuzzy topological space; intuitionistic fuzzy point; intuitionistic $I$-fuzzy quasi-coincident neighborhood space; fuzzifying topology; $I$-fuzzy topology; intuitionistic -fuzzy topological space; intuitionistic fuzzy point; intuitionistic -fuzzy quasi-coincident neighborhood space; fuzzifying topology; -fuzzy topology
UR - http://eudml.org/doc/38004
ER -

References

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