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T-intuitionistic fuzzy - halkaların bazı özellikleri

Year 2017, Volume: 21 Issue: 6, 1182 - 1187, 01.12.2017
https://doi.org/10.16984/saufenbilder.306984

Abstract

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.

References

  • [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.

Some properties of t-intuitionistic fuzzy -rings

Year 2017, Volume: 21 Issue: 6, 1182 - 1187, 01.12.2017
https://doi.org/10.16984/saufenbilder.306984

Abstract

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.

References

  • [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.
There are 1 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Gökhan Çuvalcıoğlu

Publication Date December 1, 2017
Submission Date April 19, 2017
Acceptance Date April 25, 2017
Published in Issue Year 2017 Volume: 21 Issue: 6

Cite

APA 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.