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Information 2018, 9(4), 88; https://doi.org/10.3390/info9040088

Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making

Department of Mathematics, School of Science, Xi’an University of Architecture and Technology, Xi’an 710055, China
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Received: 13 March 2018 / Revised: 28 March 2018 / Accepted: 5 April 2018 / Published: 11 April 2018
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Abstract

In this paper, the hesitant neutrosophic linguistic set is first defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutrosophic fuzzy values. Some operational laws are defined for hesitant neutrosophic linguistic fuzzy information. Several distance measures have been defined including generalized hesitant neutrosophic linguistic distance, generalized hesitant neutrosophic linguistic Hausdorff distance, and generalized hesitant neutrosophic linguistic hybrid distance. Some hesitant neutrosophic fuzzy linguistic aggregation operators based on the Choquet integral have been defined. A new multiple attribute decision making method for hesitant neutrosophic fuzzy linguistic information has been developed based on TOPSIS. In order to illustrate the feasibility and practical advantages of the new algorithm, we use it to select a company to invest. The new method is then compared with other methods. View Full-Text
Keywords: neutrosophic set; linguistic argument; hesitant fuzzy set; Choquet integral; multiple attribute decision making neutrosophic set; linguistic argument; hesitant fuzzy set; Choquet integral; multiple attribute decision making
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Pang, Y.; Yang, W. Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making. Information 2018, 9, 88.

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