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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 7 | Year 2020 | Article Id. IJMTT-V66I7P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I7P512

Some Properties of Induced and Second Order Induced Intuitionistic Fuzzy Sets


Bibhas Chandra Mondal
Abstract

In this paper we have discussed some basic properties like union , intersection etc. of four different types of induced intuitionistic fuzzy sets, namely, Ao(B), A*(B), Ao(B) and A*(B). We also discussed some properties of second order induced intuitionistic fuzzy sets.

Keywords
Degree of membership, degree of non-membership, induced Intuitionistic fuzzy set, second order induced intuitionistic fuzzy sets.
References

[1] K.T.Atanassove,” Intuitionistic fuzzy sets”,VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr.Sc.-Techn. Library of the Bulg. Acad. Of Sci., 1697/84). Reprinted: Int J Bioautomation, 20(S1), S1-S6, 2016.
[2] K.Atanassov,” On Some Properties of Intuitionistic Fuzzy Sets”, Sci. Session in Memory to Acad. L. Tchakalov, Samokov, 33-35, 1986 (in Bulgarian).
[3] K.T. Atanassove,” Intuitionistic fuzzy sets”, Fuzzy sets and systems 20 pp. 87-96,1986.
[4] K.T. Atanassove, “Review and new results on Intuitionistic fuzzy sets”, INT. J. BIO. AUTOMATION, 20 (S1), S7-S16, 2016.
[5] B.C. Mondal, “A note on induced intuitionistic fuzzy sets”, communicated for publication.
[6] R. Verma and B.D. Sharma, “Some new results on intuitionistic fuzzy sets”, Proceedings of the Jangieon Mathematical Society, 16, No.1, pp. 101-114,2013.

Citation :

Bibhas Chandra Mondal, "Some Properties of Induced and Second Order Induced Intuitionistic Fuzzy Sets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 7, pp. 89-95, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I7P512

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