Bu çalışmada, bir R halkası
için T-intuitionistic fuzzy -althalka kavramı yeniden tanımlandı ve bazı yeni
özellikleri elde edildi. Bu yapıların bazı temel özellikleri çalışıldı.
Özellikle, idempotent özelliği altında, nin bir alt kümesi ile tanımlı bir intuitionistic fuzzy
kümenin T-intuitionistic -althalka olması için gerek yeter koşulun H alt kümesinin
bir -althalka olması gerektiği gösterilmiştir. Bu özellik
yardımı ile bir halkanın, sürekli t-norm ile tanımlanmış T-intuitionistic
fuzzy -alt halkası için, bir hiperhalkanın faktör halkasının yine
bir T-intuitionistic fuzzy -halka olduğu çalışmanın ana teoremi olarak verilmiştir.
[1] Atanassov K.T., Intuitionistic Fuzzy Sets, VII ITKR's Session, Sofia, June (1983)
[2] Atanassov K.T., Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20, (1986) p.87-96.
[3] Davvaz B., Fuzzy groups, Fuzzy Sets and System (1999),101, 191-195.
[4] Davvaz B., Fuzzy -submodules, Fuzzy Sets and System (2001),117, 477-484.
[5] Davvaz B., T-fuzzy -subrings of an -ring, The Journal of Fuzzy Mathematics, (2003), 11, 215-224.
127-132
[6] Klement E.P., Mesiar R., and Pap E., Triangular Norms, Kluwer Academic Publishers, Dordrecht, (2000).
[7] Marty F., Sur une generalization de la notion de groupe, congres Math. Skandinaves, Stockholm, (1934), 45-49.
[8] Vougiouklis T., On -ring and -representations, Discrete Math, (1999),10, 615-620.
[9] Vougiouklis T.,The Fundamental relation in hyperrings.The general hyperfield,in Algebraic Hyperstructures and Applications, WorldSci. Pulb.,Teaneck, NJ (1990), 203-211.
[10] Zadeh L.A., Fuzzy Sets, Information and Control, 8, (1965), p. 338-353.
This research redefined
T-intuitionistic fuzzy -subring of a ring R and obtained some new related
properties. Some of their fundamental relation properties were studied.
Especially, under idempotent property, it is given that any IFS defined by a subset of is T-IF -subring of a ring
if and only if H is a -subring of the
ring. Using this property, the main theorem was given as for a
T-intuitionistic fuzzy -subring of any
ring with continuous t-norm, a factor subring formed using the hyperring is a
T-intuitionistic -subring.
[1] Atanassov K.T., Intuitionistic Fuzzy Sets, VII ITKR's Session, Sofia, June (1983)
[2] Atanassov K.T., Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20, (1986) p.87-96.
[3] Davvaz B., Fuzzy groups, Fuzzy Sets and System (1999),101, 191-195.
[4] Davvaz B., Fuzzy -submodules, Fuzzy Sets and System (2001),117, 477-484.
[5] Davvaz B., T-fuzzy -subrings of an -ring, The Journal of Fuzzy Mathematics, (2003), 11, 215-224.
127-132
[6] Klement E.P., Mesiar R., and Pap E., Triangular Norms, Kluwer Academic Publishers, Dordrecht, (2000).
[7] Marty F., Sur une generalization de la notion de groupe, congres Math. Skandinaves, Stockholm, (1934), 45-49.
[8] Vougiouklis T., On -ring and -representations, Discrete Math, (1999),10, 615-620.
[9] Vougiouklis T.,The Fundamental relation in hyperrings.The general hyperfield,in Algebraic Hyperstructures and Applications, WorldSci. Pulb.,Teaneck, NJ (1990), 203-211.
[10] Zadeh L.A., Fuzzy Sets, Information and Control, 8, (1965), p. 338-353.
Çuvalcıoğlu, G. (2017). Some properties of t-intuitionistic fuzzy -rings. Sakarya University Journal of Science, 21(6), 1182-1187. https://doi.org/10.16984/saufenbilder.306984
AMA
Çuvalcıoğlu G. Some properties of t-intuitionistic fuzzy -rings. SAUJS. December 2017;21(6):1182-1187. doi:10.16984/saufenbilder.306984
Chicago
Çuvalcıoğlu, Gökhan. “Some Properties of T-Intuitionistic Fuzzy -Rings”. Sakarya University Journal of Science 21, no. 6 (December 2017): 1182-87. https://doi.org/10.16984/saufenbilder.306984.
EndNote
Çuvalcıoğlu G (December 1, 2017) Some properties of t-intuitionistic fuzzy -rings. Sakarya University Journal of Science 21 6 1182–1187.
IEEE
G. Çuvalcıoğlu, “Some properties of t-intuitionistic fuzzy -rings”, SAUJS, vol. 21, no. 6, pp. 1182–1187, 2017, doi: 10.16984/saufenbilder.306984.
ISNAD
Çuvalcıoğlu, Gökhan. “Some Properties of T-Intuitionistic Fuzzy -Rings”. Sakarya University Journal of Science 21/6 (December 2017), 1182-1187. https://doi.org/10.16984/saufenbilder.306984.
JAMA
Çuvalcıoğlu G. Some properties of t-intuitionistic fuzzy -rings. SAUJS. 2017;21:1182–1187.
MLA
Çuvalcıoğlu, Gökhan. “Some Properties of T-Intuitionistic Fuzzy -Rings”. Sakarya University Journal of Science, vol. 21, no. 6, 2017, pp. 1182-7, doi:10.16984/saufenbilder.306984.
Vancouver
Çuvalcıoğlu G. Some properties of t-intuitionistic fuzzy -rings. SAUJS. 2017;21(6):1182-7.