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GP-Fuzzy Soft Groups

Yıl 2019, , 759 - 770, 31.08.2019
https://doi.org/10.18185/erzifbed.486806

Öz

In this paper, the definition of a new concept which
is called 
GP-fuzzy soft subgroup is introduced and some basic
properties of the families of GP
-fuzzy soft subgroups are examined.

Kaynakça

  • Ahmad, B. and Kharal, A. 2009. “On Fuzzy Soft Sets”, Advances in Fuzzy Systems, 2009, 586–507.
  • Akın C. and Karakaya Ü. 2018. “SP-Fuzzy Soft Ideals in Semigroups”, Turkish Journal of Mathematics and Computer Science, Accepted.
  • Ali, M. I., Feng, F., Liu, -X., Min, -W.K. and Shabir, M. 2009. On Some New Operations in Soft Set Theory, Computers and Mathematics with Applications, 57, 1547–1553.
  • Aslam M. and Qurashi S. M. 2012. “Some Contributions to Soft Groups”, Annals of Fuzzy Mathematics and Informatics, 14, 1, 177-195.
  • Aygünoğlu, A. and Aygün, H. 2009. “Introduction to Fuzzy Soft Groups”, Comput. Math. Appl., 58, 1279–1286.
  • Das, P. S. 1981. “Fuzzy Groups and Level Subgroups”, J. Math. Anal. Appl. 84, 264-269.
  • Çelik, Y., Ekiz, C. and Yamak, S. 2011. “A New View on Soft Rings”, Hacettepe Journal of Mathematics and Statistics, 40, 273–286.
  • Çelik, Y., Ekiz, C. and Yamak, S. 2013. “Applications of Fuzzy Soft Sets in Ring Theory”, Annals Fuzzy Mathematics and Informatics, 5, 451–462.
  • Feng, F., Jun, -Y.B. and Zhao, -X. 2008. “Soft Semirings”, Computers and Mathematics with Applications, 56, 2621–2628.
  • Kazancı, O., Yılmaz, S¸ . and Yamak, S. 2010. Soft Sets and Soft Bch-algebras, Hacettepe Journal of Mathematics and Statistics, 39, 205–217.
  • Kharal, A. and Ahmad, B. 2011. Mappings on Soft Classes, New Mathematics and Natural Computation, 7, 471–481.
  • Klir, G.J. and Yuan, B. (1995). “Fuzzy Sets and Fuzzy Logic, in: Theory and Applications”, Prentice-Hall Inc, New Jersey.
  • Maji, P.K., Biswas, R. and Roy, A.R. 2003. Soft Set Theory, Computers and Mathematics with Applications, 45, 555–562.
  • Maji, P.K., Biswas, R. and Roy, A.R. 2001. Fuzzy Soft Sets, J. Fuzzy Math., 9, 589–602.
  • Molodtsov, D. 1999. Soft Set Theory First Results, Computers and Mathematics with Applications, 37, 19–31.
  • Mordeson J.N., Nair P.S. (2001). “Fuzzy Abstract Algebra. In: Fuzzy Mathematics”. Studies in Fuzziness and Soft Computing, vol 20, Physica, Heidelberg.
  • Pei, D. and Miao, D. 2005. From Soft Sets to Information Systems, Granular Computing, 2005 IEEE International Conference on (2), 617-621.
  • Rosenfeld, A. 1971. Fuzzy Groups, J. Math. Anal. Appl., 35, 512–517.
  • Yang, X., Yu, D., Yang, J. and Wu, C. 2007. Generalization of Soft Set Theory: From Crisp to Fuzzy Case, in Proceedings of the 2nd International Conference of Fuzzy Information and Engineering (ICFIE Oˆ C¸O¨ 07), 40 of Advances in Soft Computing, 345–354.
  • Yin X. and Liao Z. 2013. Study on Soft Groups. Journal of Computers 8: 960-967.
  • Zadeh, L. A. 1965. Fuzzy Sets, Inform. and Control 8, 338–353.

GP-Bulanık Esnek Gruplar

Yıl 2019, , 759 - 770, 31.08.2019
https://doi.org/10.18185/erzifbed.486806

Öz

Bu makalede, GP-bulanık
esnek altgrup olarak adlandırılan yeni bir kavram tanıtılmış ve GP-bulanık
esnek altgrupların ailelerinin bazı temel özellikleri incelenmiştir.

Kaynakça

  • Ahmad, B. and Kharal, A. 2009. “On Fuzzy Soft Sets”, Advances in Fuzzy Systems, 2009, 586–507.
  • Akın C. and Karakaya Ü. 2018. “SP-Fuzzy Soft Ideals in Semigroups”, Turkish Journal of Mathematics and Computer Science, Accepted.
  • Ali, M. I., Feng, F., Liu, -X., Min, -W.K. and Shabir, M. 2009. On Some New Operations in Soft Set Theory, Computers and Mathematics with Applications, 57, 1547–1553.
  • Aslam M. and Qurashi S. M. 2012. “Some Contributions to Soft Groups”, Annals of Fuzzy Mathematics and Informatics, 14, 1, 177-195.
  • Aygünoğlu, A. and Aygün, H. 2009. “Introduction to Fuzzy Soft Groups”, Comput. Math. Appl., 58, 1279–1286.
  • Das, P. S. 1981. “Fuzzy Groups and Level Subgroups”, J. Math. Anal. Appl. 84, 264-269.
  • Çelik, Y., Ekiz, C. and Yamak, S. 2011. “A New View on Soft Rings”, Hacettepe Journal of Mathematics and Statistics, 40, 273–286.
  • Çelik, Y., Ekiz, C. and Yamak, S. 2013. “Applications of Fuzzy Soft Sets in Ring Theory”, Annals Fuzzy Mathematics and Informatics, 5, 451–462.
  • Feng, F., Jun, -Y.B. and Zhao, -X. 2008. “Soft Semirings”, Computers and Mathematics with Applications, 56, 2621–2628.
  • Kazancı, O., Yılmaz, S¸ . and Yamak, S. 2010. Soft Sets and Soft Bch-algebras, Hacettepe Journal of Mathematics and Statistics, 39, 205–217.
  • Kharal, A. and Ahmad, B. 2011. Mappings on Soft Classes, New Mathematics and Natural Computation, 7, 471–481.
  • Klir, G.J. and Yuan, B. (1995). “Fuzzy Sets and Fuzzy Logic, in: Theory and Applications”, Prentice-Hall Inc, New Jersey.
  • Maji, P.K., Biswas, R. and Roy, A.R. 2003. Soft Set Theory, Computers and Mathematics with Applications, 45, 555–562.
  • Maji, P.K., Biswas, R. and Roy, A.R. 2001. Fuzzy Soft Sets, J. Fuzzy Math., 9, 589–602.
  • Molodtsov, D. 1999. Soft Set Theory First Results, Computers and Mathematics with Applications, 37, 19–31.
  • Mordeson J.N., Nair P.S. (2001). “Fuzzy Abstract Algebra. In: Fuzzy Mathematics”. Studies in Fuzziness and Soft Computing, vol 20, Physica, Heidelberg.
  • Pei, D. and Miao, D. 2005. From Soft Sets to Information Systems, Granular Computing, 2005 IEEE International Conference on (2), 617-621.
  • Rosenfeld, A. 1971. Fuzzy Groups, J. Math. Anal. Appl., 35, 512–517.
  • Yang, X., Yu, D., Yang, J. and Wu, C. 2007. Generalization of Soft Set Theory: From Crisp to Fuzzy Case, in Proceedings of the 2nd International Conference of Fuzzy Information and Engineering (ICFIE Oˆ C¸O¨ 07), 40 of Advances in Soft Computing, 345–354.
  • Yin X. and Liao Z. 2013. Study on Soft Groups. Journal of Computers 8: 960-967.
  • Zadeh, L. A. 1965. Fuzzy Sets, Inform. and Control 8, 338–353.
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Canan Akın

Yayımlanma Tarihi 31 Ağustos 2019
Yayımlandığı Sayı Yıl 2019

Kaynak Göster

APA Akın, C. (2019). GP-Fuzzy Soft Groups. Erzincan University Journal of Science and Technology, 12(2), 759-770. https://doi.org/10.18185/erzifbed.486806