Some Notions on Interval-Valued Neutrosophic Sets

Öz

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.

Anahtar Kelimeler

• Fuzzy set
• Intuitionistic fuzzy set
• Interval-valued fuzzy set
• Neutrosophic set
• Interval-valued neutrosophic set.

Aralık-Değerli Neutrosophic Kümeler Üzerinde Bazı Kavramlar

Öz

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.

Anahtar Kelimeler

• Bulanık küme
• Sezgisel bulanık küme
• Aralık-değerli bulanık küme
• Neutrosophic küme
• Aralık-değerli neutrosophic küme

Kaynakça

1. Zadeh, L. A. (1965). Fuzzy Sets, Information and Control, 8, 338-353.
2. Atanassov, K. T. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96.
3. 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.
4. Wang, H., Smarandache, F., Zhang, Y. Q. and Sunderraman, R. (2010). Single valued neutrosophic sets, Multispace and Multistructure, 4, 410-413.
5. 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.
6. Lupianez, F. G. (2009). Interval Neutrosophic Sets and Topology, Kybernetes, 38, 621-624.
7. Zadeh, L. A. (1975). The concept of linguistic variable and its application to approximate reasoning-I, Information Science, 8(3), 199–249.
8. Smarandache, F. (2005). Neutrosophic set- a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, 24(3), 287-297.

9. 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.