FUZZIFYING CLOSURE SYSTEMS AND CLOSURE OPERATORS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

LUO X.; FANG J.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2011 | Volume:8 | Issue:1 Page(s): 77-94

Download Full-Text

View:

341

Download:

Cites:

Information Journal Paper

Title

FUZZIFYING CLOSURE SYSTEMS AND CLOSURE OPERATORS

Author(s)

LUO X. | FANG J. | Issue Writer Certificate

Keywords

FUZZIFYING CLOSURE OPERATOR

FUZZIFYING CLOSURE SYSTEM

ISOMORPHISM OF CATEGORIES

EMBEDDING OF CATEGORIES

FUZZIFYING REMOTE NEIGHBORHOOD SYSTEM

SEPARATION AXIOMS

Abstract

In this paper, we propose the concepts of FUZZIFYING CLOSURE SYSTEMs and Birkhoff FUZZIFYING CLOSURE OPERATORs. In the framework of fuzzifying mathematics, we find that there still exists a one to one correspondence between FUZZIFYING CLOSURE SYSTEMs and Birkhoff FUZZIFYING CLOSURE OPERATORs as in the case of classical mathematics. In the aspect of category theory, we prove that the category of FUZZIFYING CLOSURE SYSTEM spaces is isomorphic to the category of Birkhoff fuzzifying closure spaces. In addition, we obtain an important result that the category of fuzzifying closure spaces and that of FUZZIFYING CLOSURE SYSTEM spaces can be both embedded in the category of Birkhoff I-closure spaces. Finally, using FUZZIFYING CLOSURE SYSTEMs of the paper, we introduce a set of SEPARATION AXIOMS in FUZZIFYING CLOSURE SYSTEM spaces, which offer a try how to research the properties of spaces by FUZZIFYING CLOSURE SYSTEMs.

Cites

CATEGORIES ISOMORPHIC TO THE CATEGORY OFL-FUZZY CLOSURE SYSTEM SPACES

References

No record.

Cite

APA: Copy

LUO, X., & FANG, J.. (2011). FUZZIFYING CLOSURE SYSTEMS AND CLOSURE OPERATORS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 8(1), 77-94. SID. https://sid.ir/paper/571068/en

Vancouver: Copy

LUO X., FANG J.. FUZZIFYING CLOSURE SYSTEMS AND CLOSURE OPERATORS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2011;8(1):77-94. Available from: https://sid.ir/paper/571068/en

IEEE: Copy

X. LUO, and J. FANG, “FUZZIFYING CLOSURE SYSTEMS AND CLOSURE OPERATORS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 8, no. 1, pp. 77–94, 2011, [Online]. Available: https://sid.ir/paper/571068/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops