Genelleştirilmiş Bulanık Esnek Cebirsel Yapılar

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.

Anahtar Kelimeler:

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

Generalized Fuzzy Soft Algebraic Structures

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.,

PDF

___

(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.