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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-V66I7P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I7P516

Some Properties of Induced and Second Order Induced Intuitionistic Fuzzy Sets-I


Bibhas Chandra Mondal
Abstract

In this paper we have proved some basic theorems on four different types of induced intuitionistic fuzzy sets, namely Ao(B),A*(B),Ao(B) and A*(B), corresponding to the intuitionistic fuzzy sets A, B of a set E. We have also established some relations between induced and 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] Atanassove,K.T.(1983,2016). 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, 2016, 20(S1), S1-S6.
[2] Atanassov, K; On Some Properties of Intuitionistic Fuzzy Sets, Sci. Session in Memory to Acad. L. Tchakalov, Samokov, 33-35 (1986) (in Bulgarian).
[3] Atanassove,K.T; Intuitionistic fuzzy sets, Fuzzy sets and systems 20 (1986); 87-96.
[4] Atanassov K. T; Review and New Results on Intuitionistic Fuzzy Sets, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, 1988, Preprint IM-MFAIS1-88. Reprinted: Int. J. Bioautomation, 2016, 20(S1), S7-S16.
[5] Mondal, B.C; A note on induced intuitionistic fuzzy sets, communicated for publication.
[6] Mondal, B.C; Some properties of induced and second order induced intuitionistic fuzzy sets, Accepted for publication in International Journal of Mathematics Trends and Technology ( IJMTT).
[7] Verma, R and Sharma, B.D; Some new results on intuitionistic fuzzy sets, Proceedings of the Jangieon Mathematical Society, 16 (2013), No.1, pp. 101-114.

Citation :

Bibhas Chandra Mondal, "Some Properties of Induced and Second Order Induced Intuitionistic Fuzzy Sets-I," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 7, pp. 121-126, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I7P516

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