BULANIK b-I-SÜREKLİ FONKSİYONLAR ÜZERİNE

Yıl 2009, Cilt: 4 Sayı: 1, 87 - 98, 08.06.2009

Şaziye Yüksel , Şükriye Kara Ahu Açıkgöz

Öz

Bulanık ideal topolojik uzaylarda bulanık b-I-süreklilik ve b-I-açık küme kavramları araştırıldı ve bunların bazı özellikleri elde edildi. Ayrıca, kümeler ve fonksiyonların bazı diğer tiplerle ilişkisi çalışıldı.

Anahtar Kelimeler

Bulanık b-I-açık kümeler, bulanık b-I-süreklilik

Kaynakça

• AZAD KK, 1981. On fuzzy semi continuity, fuzzy almost continuity. Journal of Mathematical Analysis and Applications, 82, 14-23.
• BIN SHAHANA AS, 1991. On fuzzy strong semi continuity and fuzzy pre continuity. Fuzzy Sets and Systems, 44, 303-308.
• CHANKRABORTY MK, AHSANULLAH TMG, 1991. Fuzzy topology on fuzzy sets and tolerance topology. Fuzzy Sets and Systems, 45, 189-97.
• CHANG C, 1968. Fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 24, 182-9.
• FATH ALLA MA, 1984. On fuzzy topological spaces. Ph. D. Thesis, Assiut University, Sohag, Egypt.
• HATIR E, JAFARI S, 2007. Fuzzy semi-I-open sets and fuzzy semi-I-continuity via fuzzy idealization. Chaos, Solitions & Fractals, 34, 1220-1224.
• JANKOVIĆ D, HAMLET TR, 1990. New topologies from old via ideals. The American Mathematical Monthly, 97(4), 295-310.
• KURATOWSKI K, 1966. Topology, Vol.1 (transl.) Academic Pres (New York).
• LOWEN R, 1976. Fuzzy topological spaces and fuzzy compactness. Journal of Mathematical Analysis and Applications, 56, 621-633.
• MAHMOUD RA, 1997. Fuzzy ideals, fuzzy local functions and fuzzy topology. Journal of Fuzzy Mathematics, Log Angels, 5(1), 165-72.
• MAHMOUD RA, 2002. On fuzzy quasi continuity and an application of fuzzy set theory. Chaos, Solitions & Fractals, 18, 179-185.
• MALAKAR S, 1992. On fuzzy semi-irresolute and strongly irresolute functions. Fuzzy Sets and Systems, 45(2), 239-244.
• NASEF AA, MAHMOUD RA, 2002. Some topological applications via fuzzy ideals. Chaos, Solitions & Fractals, 13, 825-831.
• NASEF AA, HATIR E, 2007. On fuzzy pre –I-open sets and a decomposition of fuzzy I-continuity. Chaos, Solitions & Fractals, doi:10.1016/j.chaos.2007.08.073.
• PAO-MING P, YING-MING L, 1980. Fuzzy topology I. Neighbourhood structure of a fuzzy point and Moore-Smith convergence. Journal of Mathematical Analysis and Applications, 76, 571-99.
• SARKAR D, 1997. Fuzzy ideal theory, fuzzy local function and generated fuzzy topology. Fuzzy Sets and Systems, 87, 117-123.
• VAIDYANATHASWAMY R, 1960. Set Topology, (Chelsea, New York).
• VAIDYANATHASWAMY R, 1945. The localization theory in set topology. Proceedings of the Indian National Science Academy, (20), 51-61.
• WONG CK, 1974. Fuzzy points and local properties of fuzzy topology. Journal of Mathematical Analysis and Applications, 46, 316-328.
• YALVAC TH, 1987. Fuzzy sets and functions on fuzzy spaces. Journal of Mathematical Analysis and Applications, 126, No. 2, 409-423.
• YUKSEL S, G CAYLAK E, ACIKGOZ A, 2008. On fuzzy α-I-open continuous and fuzzy 10.1016/j.chaos.2008.07.015.
• ZADEH LA, 1965. Fuzzy sets. Inform Control, 8, 338-53.