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Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets)

Year 2005, Volume: 1 Issue: 3, 13 - 25, 01.08.2005

Abstract

References

  • Bonikowaski, Z., Algebraic structures of rough sets, Rough sets, Fuzzy sets and Knowledge Discovery, Springer-Verlag, Berlin(1995)
  • Bismas B., Nanda S., Rough groups and rough subgroups, Bull. Polish Acad. Sci. Math. 42(1994) 251-254.
  • Dubois, D. and Prade H., Editorial, Fuzzy Sets and Syst. 122 (2001) 1-3.
  • Dubois, D. and Prade, H., Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York. (1980).
  • Iwinski, T., Algebraic approach to rough sets, Bull. Polish Acad. Sci. Math. 35 (1987) 673- 683.
  • Jiashang, J., Congxin, W. and Degang, C., The product structure of fuzzy rough sets on a group and the rough T- fuzzy group, Information Science,(Baskõda)(2004)
  • Kaufmann, A. and Gupta, M.M., Introduction to Fuzzy Arithmetic Theory and Applications, Van Nostrand Rienhold, New York(1991).
  • Klir, J. G, and Folger, T. A., Fuzzy Sets, And Information, New Jersey(1988).
  • Kumar, R., Fuzzy Algebra I, University of Delhi, Publ. Division(1993).
  • Kuroki, N., Rough ideals in semigroups, Inform. Sci. 100 (1997) 139-163.
  • Kuroki, N., Nang P. P., The lower and upper approximations in fuzzy group, Inform. Sci., 90(1996) 203-220.
  • Kuroki, N., Mordeson J. N., Structure of rough sets and rough groups, J. Fuzzy Math., 5(1) (1997) 183-191.
  • Maji P.K., Biswas R. and Roy A.R., Soft set theory, Computers and Mathematics with Applications 45(2003) 555-562.
  • Molodtsov, D., Soft set theory-first results, Computers Malath. Applic. 37 (1999) 19-31.
  • Morsi, N.N. and Yakout, M.M., Axiomatics for fuzzy rough sets, Fuzzy Sets and Systems, 100, 327-342(1998).
  • Pawlak, Z., Rough sets, Int. J. of Information and Computer Sciences, 11, 5, 341-356 (1982).
  • Pomykala, J. and Pomykala, J.A., The stone algebra of rough sets, Bull. Polish Acad. Sci. Math. 36 (1988) 495-508.
  • Wakczak B., Massart D. L., Rough set theory, Chemometrics and Intelligent Laboratory Systems, 47(1999) 1-16.
  • Zadeh, L., Fuzzy sets, Information and Control, 8, 338-353(1965).
  • Zimmermann, H.J., Fuzzy Set Theory and Its Applications, Kluwer (1991).

Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets)

Year 2005, Volume: 1 Issue: 3, 13 - 25, 01.08.2005

Abstract

Bu çalõşmada, klasik mantõğõn tanõmlayamadõğõ belirsiz kavramlarõn matematiksel olarak ifadeedilebilmesine olanak sağlayan Zadeh’in bulanõk kümeler (fuzzy sets) teorisi ve Pawlak’õn yaklaşõmlõ kümeler (rough sets) teorisi üzerinde durulmuştur. Bu iki teoriyle ilgili temel kavramlar verildiktensonra aralarõndaki bazõ önemli ilişkiler incelenmiştir. Daha sonra bulanõk normal altgruplarõn direktçarpõmõna göre bulanõk kümelerin üst yaklaşõmõ tanõmlanarak bazõ özellikleri verilmiştir

References

  • Bonikowaski, Z., Algebraic structures of rough sets, Rough sets, Fuzzy sets and Knowledge Discovery, Springer-Verlag, Berlin(1995)
  • Bismas B., Nanda S., Rough groups and rough subgroups, Bull. Polish Acad. Sci. Math. 42(1994) 251-254.
  • Dubois, D. and Prade H., Editorial, Fuzzy Sets and Syst. 122 (2001) 1-3.
  • Dubois, D. and Prade, H., Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York. (1980).
  • Iwinski, T., Algebraic approach to rough sets, Bull. Polish Acad. Sci. Math. 35 (1987) 673- 683.
  • Jiashang, J., Congxin, W. and Degang, C., The product structure of fuzzy rough sets on a group and the rough T- fuzzy group, Information Science,(Baskõda)(2004)
  • Kaufmann, A. and Gupta, M.M., Introduction to Fuzzy Arithmetic Theory and Applications, Van Nostrand Rienhold, New York(1991).
  • Klir, J. G, and Folger, T. A., Fuzzy Sets, And Information, New Jersey(1988).
  • Kumar, R., Fuzzy Algebra I, University of Delhi, Publ. Division(1993).
  • Kuroki, N., Rough ideals in semigroups, Inform. Sci. 100 (1997) 139-163.
  • Kuroki, N., Nang P. P., The lower and upper approximations in fuzzy group, Inform. Sci., 90(1996) 203-220.
  • Kuroki, N., Mordeson J. N., Structure of rough sets and rough groups, J. Fuzzy Math., 5(1) (1997) 183-191.
  • Maji P.K., Biswas R. and Roy A.R., Soft set theory, Computers and Mathematics with Applications 45(2003) 555-562.
  • Molodtsov, D., Soft set theory-first results, Computers Malath. Applic. 37 (1999) 19-31.
  • Morsi, N.N. and Yakout, M.M., Axiomatics for fuzzy rough sets, Fuzzy Sets and Systems, 100, 327-342(1998).
  • Pawlak, Z., Rough sets, Int. J. of Information and Computer Sciences, 11, 5, 341-356 (1982).
  • Pomykala, J. and Pomykala, J.A., The stone algebra of rough sets, Bull. Polish Acad. Sci. Math. 36 (1988) 495-508.
  • Wakczak B., Massart D. L., Rough set theory, Chemometrics and Intelligent Laboratory Systems, 47(1999) 1-16.
  • Zadeh, L., Fuzzy sets, Information and Control, 8, 338-353(1965).
  • Zimmermann, H.J., Fuzzy Set Theory and Its Applications, Kluwer (1991).
There are 20 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Hacı Aktaş, Naim Çağman This is me

Publication Date August 1, 2005
Published in Issue Year 2005 Volume: 1 Issue: 3

Cite

APA Çağman, H. A. N. . (2005). Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets). Cankaya University Journal of Arts and Sciences, 1(3), 13-25.
AMA Çağman HAN. Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets). Cankaya University Journal of Arts and Sciences. August 2005;1(3):13-25.
Chicago Çağman, Hacı Aktaş, Naim. “Bulanık Ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets)”. Cankaya University Journal of Arts and Sciences 1, no. 3 (August 2005): 13-25.
EndNote Çağman HAN (August 1, 2005) Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets). Cankaya University Journal of Arts and Sciences 1 3 13–25.
IEEE H. A. N. . Çağman, “Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets)”, Cankaya University Journal of Arts and Sciences, vol. 1, no. 3, pp. 13–25, 2005.
ISNAD Çağman, Hacı Aktaş, Naim. “Bulanık Ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets)”. Cankaya University Journal of Arts and Sciences 1/3 (August 2005), 13-25.
JAMA Çağman HAN. Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets). Cankaya University Journal of Arts and Sciences. 2005;1:13–25.
MLA Çağman, Hacı Aktaş, Naim. “Bulanık Ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets)”. Cankaya University Journal of Arts and Sciences, vol. 1, no. 3, 2005, pp. 13-25.
Vancouver Çağman HAN. Bulanık ve Yaklaşımlı Kümeler(Fuzzy and Rough Sets). Cankaya University Journal of Arts and Sciences. 2005;1(3):13-25.