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Some Notions on Interval-Valued Neutrosophic Sets

Year 2021, Issue: 28, 802 - 805, 30.11.2021
https://doi.org/10.31590/ejosat.1011428

Abstract

In this study, we give some new notions such as intersection, union and complement on interval-valued neutrosophic sets and introduce basic properties related these notions.

References

  • Zadeh, L. A. (1965). Fuzzy Sets, Information and Control, 8, 338-353.
  • Atanassov, K. T. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96.
  • Smarandache, F. (2006). Neutrosophic set-a generalization of the intuitionistic fuzzy set, In Proceedings of 2006 IEEE International Conference on Granular Computing, Georgia State University, Atlanta, 38–42.
  • Wang, H., Smarandache, F., Zhang, Y. Q. and Sunderraman, R. (2010). Single valued neutrosophic sets, Multispace and Multistructure, 4, 410-413.
  • Zhang, H. Y., Wang, J. Q. and Chen, X. H. (2014). Interval neutrosophic sets and their application in multicriteria decision making problems, The Scientific World Journal, 3, 649-653.
  • Lupianez, F. G. (2009). Interval Neutrosophic Sets and Topology, Kybernetes, 38, 621-624.
  • Zadeh, L. A. (1975). The concept of linguistic variable and its application to approximate reasoning-I, Information Science, 8(3), 199–249.
  • Smarandache, F. (2005). Neutrosophic set- a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, 24(3), 287-297.
  • Wang, H., Smarandache, F., Zhang, Y. Q. and Sunderraman, R. (2005). Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, In: Neutrosophic book series, Hexis, Arizona.

Aralık-Değerli Neutrosophic Kümeler Üzerinde Bazı Kavramlar

Year 2021, Issue: 28, 802 - 805, 30.11.2021
https://doi.org/10.31590/ejosat.1011428

Abstract

Biz bu çalışmada aralık-değerli neutrosophic kümeler üzerinde arakesit, birleşim ve tümleyen gibi bazı yeni kavramlar verdik ve bu kavramlar ile ilişkili temel özellikleri inceledik.

References

  • Zadeh, L. A. (1965). Fuzzy Sets, Information and Control, 8, 338-353.
  • Atanassov, K. T. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96.
  • Smarandache, F. (2006). Neutrosophic set-a generalization of the intuitionistic fuzzy set, In Proceedings of 2006 IEEE International Conference on Granular Computing, Georgia State University, Atlanta, 38–42.
  • Wang, H., Smarandache, F., Zhang, Y. Q. and Sunderraman, R. (2010). Single valued neutrosophic sets, Multispace and Multistructure, 4, 410-413.
  • Zhang, H. Y., Wang, J. Q. and Chen, X. H. (2014). Interval neutrosophic sets and their application in multicriteria decision making problems, The Scientific World Journal, 3, 649-653.
  • Lupianez, F. G. (2009). Interval Neutrosophic Sets and Topology, Kybernetes, 38, 621-624.
  • Zadeh, L. A. (1975). The concept of linguistic variable and its application to approximate reasoning-I, Information Science, 8(3), 199–249.
  • Smarandache, F. (2005). Neutrosophic set- a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, 24(3), 287-297.
  • Wang, H., Smarandache, F., Zhang, Y. Q. and Sunderraman, R. (2005). Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, In: Neutrosophic book series, Hexis, Arizona.
There are 9 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Yıldıray Çelik 0000-0003-3373-3916

Publication Date November 30, 2021
Published in Issue Year 2021 Issue: 28

Cite

APA Çelik, Y. (2021). Some Notions on Interval-Valued Neutrosophic Sets. Avrupa Bilim Ve Teknoloji Dergisi(28), 802-805. https://doi.org/10.31590/ejosat.1011428