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.
Zadeh L. A., “Fuzzy sets”, Inform. And control, 8: 338-353, (1965).
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).
Nasef A. A. , Mahmoud R. A. , “Some topological applications via fuzzy ideals”, Chaos, Solitons & Fractals, 13: 825-831 (2002).
Yalvac T. H., “Fuzzy sets and functions on fuzzy spaces”, Journal of Mathematical Analysis and Applications, 126(2): 409-423 (1987).
Wong C. K.,. “Fuzzy points and local properties of fuzzy topology”, Journal of Mathematical Analysis and Applications, 46: 316-328 (1974).
Vaidyannathaswamy R, “The localization theory in set topology”, Proceedings of the Indian National Science Academy, (20): 51-61 (1945).
Sarkar D, “Fuzzy ideal theory, fuzzy local function and generated fuzzy topology”, Fuzzy Sets and Systems, 87: 117-123 (1997).
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).
Azad K. K, “On fuzzy semi continuity, fuzzy almost continuity”, Journal of Mathematical Analysis and Applications, 82: 14-23 (1981).
Bin Shahana A. S., “On fuzzy strong semi continuity and fuzzy pre continuity”, Fuzzy Sets and Systems, 44: 303-308 (1991).
Chankraborty M. K., Ahsanullah T. M. G., “Fuzzy topology on fuzzy sets and tolerance topology”, Fuzzy Sets and Systems, 45: 189-97 (1991).
Chang C, “Fuzzy topological spaces”, Journal of Mathematical Analysis and Applications, 24: 182- 9 (1968).
Hatir E, Jafari S, “Fuzzy semi-I-open sets and fuzzy semi-I-continuity via fuzzy idealization”, Chaos, Solitons & Fractals, 34: 1220-1224 (2007).
Jankovic D, Hamlet T. R., “New topologies from old via ideals”, The American Mathematical Monthly, 97(4): 295-310 (1990).
Lowen R., “Fuzzy topological spaces and fuzzy compactness”, Journal of Mathematical Analysis and Applications, 56: 621-633 (1976).
Kuratowski K., “Topology”, Vol.1 (transl.) Academic Press, New York (1966).
Year 2011,
Volume: 24 Issue: 4, 731 - 738, 21.01.2011
Zadeh L. A., “Fuzzy sets”, Inform. And control, 8: 338-353, (1965).
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).
Nasef A. A. , Mahmoud R. A. , “Some topological applications via fuzzy ideals”, Chaos, Solitons & Fractals, 13: 825-831 (2002).
Yalvac T. H., “Fuzzy sets and functions on fuzzy spaces”, Journal of Mathematical Analysis and Applications, 126(2): 409-423 (1987).
Wong C. K.,. “Fuzzy points and local properties of fuzzy topology”, Journal of Mathematical Analysis and Applications, 46: 316-328 (1974).
Vaidyannathaswamy R, “The localization theory in set topology”, Proceedings of the Indian National Science Academy, (20): 51-61 (1945).
Sarkar D, “Fuzzy ideal theory, fuzzy local function and generated fuzzy topology”, Fuzzy Sets and Systems, 87: 117-123 (1997).
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).
Azad K. K, “On fuzzy semi continuity, fuzzy almost continuity”, Journal of Mathematical Analysis and Applications, 82: 14-23 (1981).
Bin Shahana A. S., “On fuzzy strong semi continuity and fuzzy pre continuity”, Fuzzy Sets and Systems, 44: 303-308 (1991).
Chankraborty M. K., Ahsanullah T. M. G., “Fuzzy topology on fuzzy sets and tolerance topology”, Fuzzy Sets and Systems, 45: 189-97 (1991).
Chang C, “Fuzzy topological spaces”, Journal of Mathematical Analysis and Applications, 24: 182- 9 (1968).
Hatir E, Jafari S, “Fuzzy semi-I-open sets and fuzzy semi-I-continuity via fuzzy idealization”, Chaos, Solitons & Fractals, 34: 1220-1224 (2007).
Jankovic D, Hamlet T. R., “New topologies from old via ideals”, The American Mathematical Monthly, 97(4): 295-310 (1990).
Lowen R., “Fuzzy topological spaces and fuzzy compactness”, Journal of Mathematical Analysis and Applications, 56: 621-633 (1976).
Kuratowski K., “Topology”, Vol.1 (transl.) Academic Press, New York (1966).
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.
AMA
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. December 2011;24(4):731-738.
Chicago
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 24, no. 4 (December 2011): 731-38.
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
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, 2011.
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 2011), 731-738.
JAMA
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, 2011, pp. 731-8.
Vancouver
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):731-8.