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

Cemil Yıldız; Fadhil Abbas

Araştırma Makalesi

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

Yıl 2011, Cilt: 24 Sayı: 4, 731 - 738, 21.01.2011

Öz

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.

Anahtar Kelimeler

Topological, Spaces, Fuzzy, Regular, Sets

Kaynakça

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).

Yıl 2011, Cilt: 24 Sayı: 4, 731 - 738, 21.01.2011

Cemil Yıldız Fadhil Abbas

Öz

Kaynakça

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).

Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Mühendislik
Bölüm	Mathematics
Yazarlar	Cemil Yıldız Fadhil Abbas
Yayımlanma Tarihi	21 Ocak 2011
Yayımlandığı Sayı	Yıl 2011 Cilt: 24 Sayı: 4

Kaynak Göster

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.
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. Aralık 2011;24(4):731-738.
Chicago	Yıldız, Cemil, ve 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, sy. 4 (Aralık 2011): 731-38.
EndNote	Yıldız C, Abbas F (01 Aralık 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 ve 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, c. 24, sy. 4, ss. 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 (Aralık 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 ve 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, c. 24, sy. 4, 2011, ss. 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.