Research Article
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Generalized Fuzzy Soft Algebraic Structures

Year 2013, Volume: 17 Issue: 3, 301 - 306, 01.06.2013

Hacı Aktaş Özlem Bulut

Abstract

In this study we define generalized fuzzy soft group and fuzzy soft ring on generalized fuzzy soft sets and give some properties of these concepts.

Keywords

Soft sets generalized fuzzy soft sets generalized fuzzy soft groups generalized fuzzy soft rings.

References

  • (REFERENCES) L.A. Zadeh, (1965), Fuzzy Sets, Information and Control 8, 338-353.
  • A.Rosenfeld, 1971, Fuzzy Groups, J. Math. Anal. Appl. 35, 512-517.
  • Wang-Jin Liu, (1982), Fuzzy invariant subgroups and fuzzy ideals,Fuzzy Sets and Systems 8, 1331
  • Wang-Jin Liu, (1982), Operations on fuzzy ideals, Fuzzy Sets and Systems 11 31-41.
  • D. Molodtsov, (1999), Soft set theory-first result, , Comput.Math.Appl. 37 19-31.
  • P. K. Maji, R. Biswas, A. R. Roy, (2003) Soft set theory, Comput.Math.Appl. 45 555-562. H. Aktaş, N. Çağman, (2007), Soft sets and soft groups, Inform.Sci. 177, 2726-2735.
  • Y. B. Jun, (2008), Soft BKC/BKI-algebra, , Comput.Math.Appl. 56, 1408-1413.
  • F. Feng, Y.B.Jun, X.Zhao, (2008), Soft semirings , Comput.Math.Appl. 56, 2621-2628.
  • U. Acar, F. Koyuncu ve B. Tanay, (2010), Soft Set Soft Rings, Computers and Mathematics with Applicarions, 59, 3458-3463.
  • M.I. Ali, F. Feng, X. Liu and W. K. M. Shabir, (2009), On some new operations in soft set theory, Computers and Mathematics with Appl. 57 ,154715
  • P. K. Maji, R. Biswas, A. R. Roy, (2001), Fuzzy soft set, Journal of Fuzzy Mathematics 9 (3) 58960
  • A. Aygünoğlu and H. Aygün, (2009), Introduction to Fuzzy soft groups, Computers and Mathematics with Appl. 58, 1279-1286. S. Subramanian, R. Nagarajan and A. Mohan, (2012),Homomorphic Image of Fuzzy Soft Rings with Supremum Property under Triangular Norms, International Mathematical Forum 7, 6,281-295.
  • Majumdar and S.K. Samanta, (2010), Generalised Fuzzy Soft Set, Computers and Mathematics with Appl. 57, 1425-1432.

Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar

Year 2013, Volume: 17 Issue: 3, 301 - 306, 01.06.2013

Hacı Aktaş Özlem Bulut

Abstract

In this study we define generalized fuzzy soft group and fuzzy soft ring on generalized fuzzy soft sets and give some properties of these concepts.

Keywords

Esnek kümeler genelleştirilmiş bulanık esnek kümeler genelleştirilmiş bulanık esnek gruplar genelleştirilmiş bulanık esnek halkalar

References

  • (REFERENCES) L.A. Zadeh, (1965), Fuzzy Sets, Information and Control 8, 338-353.
  • A.Rosenfeld, 1971, Fuzzy Groups, J. Math. Anal. Appl. 35, 512-517.
  • Wang-Jin Liu, (1982), Fuzzy invariant subgroups and fuzzy ideals,Fuzzy Sets and Systems 8, 1331
  • Wang-Jin Liu, (1982), Operations on fuzzy ideals, Fuzzy Sets and Systems 11 31-41.
  • D. Molodtsov, (1999), Soft set theory-first result, , Comput.Math.Appl. 37 19-31.
  • P. K. Maji, R. Biswas, A. R. Roy, (2003) Soft set theory, Comput.Math.Appl. 45 555-562. H. Aktaş, N. Çağman, (2007), Soft sets and soft groups, Inform.Sci. 177, 2726-2735.
  • Y. B. Jun, (2008), Soft BKC/BKI-algebra, , Comput.Math.Appl. 56, 1408-1413.
  • F. Feng, Y.B.Jun, X.Zhao, (2008), Soft semirings , Comput.Math.Appl. 56, 2621-2628.
  • U. Acar, F. Koyuncu ve B. Tanay, (2010), Soft Set Soft Rings, Computers and Mathematics with Applicarions, 59, 3458-3463.
  • M.I. Ali, F. Feng, X. Liu and W. K. M. Shabir, (2009), On some new operations in soft set theory, Computers and Mathematics with Appl. 57 ,154715
  • P. K. Maji, R. Biswas, A. R. Roy, (2001), Fuzzy soft set, Journal of Fuzzy Mathematics 9 (3) 58960
  • A. Aygünoğlu and H. Aygün, (2009), Introduction to Fuzzy soft groups, Computers and Mathematics with Appl. 58, 1279-1286. S. Subramanian, R. Nagarajan and A. Mohan, (2012),Homomorphic Image of Fuzzy Soft Rings with Supremum Property under Triangular Norms, International Mathematical Forum 7, 6,281-295.
  • Majumdar and S.K. Samanta, (2010), Generalised Fuzzy Soft Set, Computers and Mathematics with Appl. 57, 1425-1432.
There are 13 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Research Articles
Authors

Hacı Aktaş This is me

Özlem Bulut This is me

Publication Date June 1, 2013
Submission Date January 7, 2013
Acceptance Date April 17, 2013
Published in Issue Year 2013 Volume: 17 Issue: 3

Cite

APA Aktaş, H., & Bulut, Ö. (2013). Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar. Sakarya University Journal of Science, 17(3), 301-306. https://doi.org/10.16984/saufbed.47029
AMA Aktaş H, Bulut Ö. Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar. SAUJS. December 2013;17(3):301-306. doi:10.16984/saufbed.47029
Chicago Aktaş, Hacı, and Özlem Bulut. “Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar”. Sakarya University Journal of Science 17, no. 3 (December 2013): 301-6. https://doi.org/10.16984/saufbed.47029.
EndNote Aktaş H, Bulut Ö (December 1, 2013) Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar. Sakarya University Journal of Science 17 3 301–306.
IEEE H. Aktaş and Ö. Bulut, “Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar”, SAUJS, vol. 17, no. 3, pp. 301–306, 2013, doi: 10.16984/saufbed.47029.
ISNAD Aktaş, Hacı - Bulut, Özlem. “Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar”. Sakarya University Journal of Science 17/3 (December 2013), 301-306. https://doi.org/10.16984/saufbed.47029.
JAMA Aktaş H, Bulut Ö. Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar. SAUJS. 2013;17:301–306.
MLA Aktaş, Hacı and Özlem Bulut. “Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar”. Sakarya University Journal of Science, vol. 17, no. 3, 2013, pp. 301-6, doi:10.16984/saufbed.47029.
Vancouver Aktaş H, Bulut Ö. Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar. SAUJS. 2013;17(3):301-6.
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