Research Article

On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity

Volume: 24 Number: 4 January 21, 2011
EN

On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity

Abstract

 The concepts of fuzzy regular-I-closed set and fuzzy semi-I-regular set in fuzzy ideal topological spaces are investigated and some of their properties are obtained.

Keywords

References

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  2. Yüksel S., Gürsel Caylak E. , Acikgöz A. , “On Fuzzy α -I-continuous and fuzzy α -I-open functions”, Chaos, Solitons &Fractals, 41: 1691- 1696 (2009).
  3. Nasef A. A. , Mahmoud R. A. , “Some topological applications via fuzzy ideals”, Chaos, Solitons & Fractals, 13: 825-831 (2002).
  4. Yalvac T. H., “Fuzzy sets and functions on fuzzy spaces”, Journal of Mathematical Analysis and Applications, 126(2): 409-423 (1987).
  5. Wong C. K.,. “Fuzzy points and local properties of fuzzy topology”, Journal of Mathematical Analysis and Applications, 46: 316-328 (1974).
  6. Vaidyannathaswamy R, “The localization theory in set topology”, Proceedings of the Indian National Science Academy, (20): 51-61 (1945).
  7. Sarkar D, “Fuzzy ideal theory, fuzzy local function and generated fuzzy topology”, Fuzzy Sets and Systems, 87: 117-123 (1997).
  8. Nasef A. A., Hatir E, “On fuzzy pre-I-open sets and a decomposition of fuzzy-I-continuity”, Chaos, Solitons & Fractals, doi:10.1016/j.chaos.2007.08.073 (2007).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

January 21, 2011

Submission Date

January 21, 2011

Acceptance Date

-

Published in Issue

Year 2011 Volume: 24 Number: 4

APA
Yıldız, C., & Abbas, F. (2011). On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity. Gazi University Journal of Science, 24(4), 731-738. https://izlik.org/JA88AE59CN
AMA
1.Yıldız C, Abbas F. On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity. Gazi University Journal of Science. 2011;24(4):731-738. https://izlik.org/JA88AE59CN
Chicago
Yıldız, Cemil, and Fadhil Abbas. 2011. “On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity”. Gazi University Journal of Science 24 (4): 731-38. https://izlik.org/JA88AE59CN.
EndNote
Yıldız C, Abbas F (December 1, 2011) On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity. Gazi University Journal of Science 24 4 731–738.
IEEE
[1]C. Yıldız and F. Abbas, “On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity”, Gazi University Journal of Science, vol. 24, no. 4, pp. 731–738, Dec. 2011, [Online]. Available: https://izlik.org/JA88AE59CN
ISNAD
Yıldız, Cemil - Abbas, Fadhil. “On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity”. Gazi University Journal of Science 24/4 (December 1, 2011): 731-738. https://izlik.org/JA88AE59CN.
JAMA
1.Yıldız C, Abbas F. On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity. Gazi University Journal of Science. 2011;24:731–738.
MLA
Yıldız, Cemil, and Fadhil Abbas. “On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity”. Gazi University Journal of Science, vol. 24, no. 4, Dec. 2011, pp. 731-8, https://izlik.org/JA88AE59CN.
Vancouver
1.Cemil Yıldız, Fadhil Abbas. On Fuzzy Regular-I-Closed Sets, Fuzzy Semi-I-Regular Sets, Fuzzy ABI-Sets and Decompositions of Fuzzy Regular-I-Continuity, Fuzzy AI - Continuity. Gazi University Journal of Science [Internet]. 2011 Dec. 1;24(4):731-8. Available from: https://izlik.org/JA88AE59CN