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Title: :  Some Operations and Properties of Interval Valued Bipolar Neutrosophic Hesitant Fuzzy Set (IVBNHFS)
PaperId: :  11679
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 6 Issue 2 2020
DUI:    16.0415/IJARIIE-11679
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Ramaroson Hans Eric University of Antananarivo, Madagascar
Andriamanohisoa Hery ZoUniversity of Antananarivo, Madagascar

Abstract

Cognitives Sciences and Applications
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.
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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IJARIIE 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 Volume 6 Issue 2 2020 Page 1071-1083
MLA 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 6.2(2020) : 1071-1083.
APA Ramaroson Hans Eric , & Andriamanohisoa Hery Zo. (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.
Chicago 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 6, no. 2 (2020) : 1071-1083.
Oxford 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, 2020, p. 1071-1083. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/Some_Operations_and_Properties_of_Interval_Valued_Bipolar_Neutrosophic_Hesitant_Fuzzy__Set__IVBNHFS__ijariie11679.pdf (Accessed : 06 June 2021).
Harvard Ramaroson Hans Eric , and Andriamanohisoa Hery Zo. (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. 1071-1083IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/Some_Operations_and_Properties_of_Interval_Valued_Bipolar_Neutrosophic_Hesitant_Fuzzy__Set__IVBNHFS__ijariie11679.pdf (Accessed : 06 June 2021)
IEEE 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, Mar-App 2020. [Online]. Available: https://ijariie.com/AdminUploadPdf/Some_Operations_and_Properties_of_Interval_Valued_Bipolar_Neutrosophic_Hesitant_Fuzzy__Set__IVBNHFS__ijariie11679.pdf [Accessed : 06 June 2021].
Turabian 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 [Online]. volume 6 number 2 (06 June 2021).
Vancouver 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 [Internet]. 2020 [Cited : 06 June 2021]; 6(2) : 1071-1083. Available from: https://ijariie.com/AdminUploadPdf/Some_Operations_and_Properties_of_Interval_Valued_Bipolar_Neutrosophic_Hesitant_Fuzzy__Set__IVBNHFS__ijariie11679.pdf
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