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Novel decision-making method based on bipolar neutrosophic information

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Abstract

In 1998, Smarandache originally considered the concept of neutrosophic set from philosophical point of view. The notion of a single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. A bipolar single-valued neutrosophic set is an extension of a bipolar fuzzy set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations. In this research article, we apply the concept of bipolar single-valued neutrosophic sets to graph structures and present a novel framework for handling bipolar neutrosophic information by combining bipolar neutrosophic sets with graph structures. Several basic notions concerning bipolar single-valued neutrosophic graph structures are introduced, and some related properties are investigated. We also consider the applications of bipolar single-valued neutrosophic graph structures in decision making. In particular, efficient algorithms are developed to solve decision-making problems regarding recognition of each country’s participation in its conspicuous relationships, detection of psychological improvement of patients in a mental hospital and uncovering the undercover reasons for global terrorism.

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Acknowledgements

The authors are extremely grateful to the editor and three anonymous referees for their valuable comments and helpful suggestions which helped to improve the presentation of this paper. This research was supported by NNSFC (11461025; 11561023).

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Authors and Affiliations

  1. Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, People’s Republic of China

    Jianming Zhan

  2. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Muzzamal Sitara

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  1. Jianming Zhan
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  2. Muhammad Akram
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  3. Muzzamal Sitara
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Correspondence to Jianming Zhan.

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Zhan, J., Akram, M. & Sitara, M. Novel decision-making method based on bipolar neutrosophic information. Soft Comput 23, 9955–9977 (2019). https://doi.org/10.1007/s00500-018-3552-8

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