Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy  Set (IVBNHFS)

Ramaroson Hans Eric; Andriamanohisoa Hery Zo

Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS)

March 2020

Vol-6, Issue-2

Paper ID: 11679

ISSN: 2395-4396

Downloads: 0

Abstract & Details

Research Area

Cognitives Sciences and Applications

Keywords

Fuzzy set Hesitant fuzzy set.Neutrosophic set.Hesitant neutrosophic set.Bipolar neutrosophic set.Bipolar fuzzy set.Interval neutrosophic hesitant fuzzy set.Interval bipolar neutrosophic fuzzy set.Interval valued bipolar neutrosophic hesitant fuzzy set.

Abstract

Hesitant neutrosophic set is an important extension of hesitant fuzzy set. Bipolar neutrosophic set is an important extension of bipolar fuzzy set. The Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set, hesitant fuzzy set, and bipolar neutrosophic set. The IVBNHFS set is the hybridization of bipolar fuzzy set, hesitant fuzzy set and interval neutrosophic set. Every element of IVBNHFS consists of three independent positive membership functions and three independent negative membership functions. In this paper, we define some operations and we also investigate some of properties for IVBNHFS, such as union, intersection, sum algebraic, … And we prove some theorems on IVBNHFS. In the end, the main conclusion and future scope of research are summarized.

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Author Information

#	Name	Institute / Affiliation
1	Ramaroson Hans Eric	University of Antananarivo, Madagascar
2	Andriamanohisoa Hery Zo	University of Antananarivo, Madagascar

How to Cite

Use the following formats to cite this article in your research.

APA Style

Eric, Ramaroson Hans & Zo, Andriamanohisoa Hery (2020). Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS). International Journal of Advance Research and Innovative Ideas In Education, 6(2), 1071-1083.

MLA Style

Eric, Ramaroson Hans, and Andriamanohisoa Hery Zo. "Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS)." International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 2, 2020, pp. 1071-1083.

IEEE Style

Ramaroson Hans Eric and Andriamanohisoa Hery Zo, "Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS)," International Journal of Advance Research and Innovative Ideas In Education, vol. 6, no. 2, pp. 1071-1083, 2020.

Vancouver Style

Eric Ramaroson Hans, Zo Andriamanohisoa Hery. Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS). International Journal of Advance Research and Innovative Ideas In Education. 2020;6(2):1071-1083.

Harvard Style

Eric, Ramaroson Hans & Zo, Andriamanohisoa Hery (2020) 'Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS)', International Journal of Advance Research and Innovative Ideas In Education, 6(2), pp. 1071-1083.

Chicago Style

Eric, Ramaroson Hans and Andriamanohisoa Hery Zo. "Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS)." International Journal of Advance Research and Innovative Ideas In Education 6, no. 2 (2020): 1071-1083.

Turabian Style

Eric, Ramaroson Hans and Andriamanohisoa Hery Zo. "Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS)." International Journal of Advance Research and Innovative Ideas In Education 6, no. 2 (2020): 1071-1083.