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On Single Valued Neutrosophic Refined Rough Set Model and Its Application

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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 369))

Abstract

Neutrosophic set (NS) theory was originally established by Smarandache for handling indeterminate and inconsistent information. In this chapter, we introduce single valued neutrosophic refined rough sets by combining single valued neutrosophic refined sets with rough sets and further study the hybrid model from two perspectives—constructive viewpoint and axiomatic viewpoint. We also give single valued neutrosophic refined rough sets in two universes and an available algorithm for handling multi-attribute decision making problem based on single valued neutrosophic refined rough sets in two universes. In addition, we illustrate the validity of the single valued neutrosophic refined rough set model by an example.

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Acknowledgements

This work is partly supported by the National Natural Science Foundation of China (Nos. 61473181 and 11526163) and the Fundamental Research Funds for the Central Universities (Nos. GK201702008 and 2016TS034).

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Authors and Affiliations

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710119, People’s Republic of China

    Yan-Ling Bao & Hai-Long Yang

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  1. Yan-Ling Bao
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  2. Hai-Long Yang
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Correspondence to Hai-Long Yang .

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Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Istanbul, Turkey

    İrem Otay

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Bao, YL., Yang, HL. (2019). On Single Valued Neutrosophic Refined Rough Set Model and Its Application. In: Kahraman, C., Otay, İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, vol 369. Springer, Cham. https://doi.org/10.1007/978-3-030-00045-5_6

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