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BULANIK b-I-SÜREKLİ FONKSİYONLAR ÜZERİNE

Year 2009, Volume: 4 Issue: 1, 87 - 98, 08.06.2009

Abstract

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.

References

  • 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.
Year 2009, Volume: 4 Issue: 1, 87 - 98, 08.06.2009

Abstract

References

  • 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.
There are 22 citations in total.

Details

Primary Language English
Journal Section Makaleler
Authors

Şaziye Yüksel

Şükriye Kara This is me

Ahu Açıkgöz This is me

Publication Date June 8, 2009
Published in Issue Year 2009 Volume: 4 Issue: 1

Cite

IEEE Ş. Yüksel, Ş. Kara, and A. Açıkgöz, “BULANIK b-I-SÜREKLİ FONKSİYONLAR ÜZERİNE”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 4, no. 1, pp. 87–98, 2009, doi: 10.29233/sdufeffd.134669.