GP-Fuzzy Soft Groups

Yıl 2019, Cilt: 12 Sayı: 2, 759 - 770, 31.08.2019

Canan Akın

https://doi.org/10.18185/erzifbed.486806

Cited By: 1

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.

GP-Bulanık Esnek Gruplar

Öz

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

Anahtar Kelimeler

Groups, (Fuzzy) soft set, UP-fuzzy soft subset

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.