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Dual Extended Hesitant Fuzzy Sets

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BORDA Research Unit, Universidad de Salamanca, 37007 Salamanca, Spain
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Facultad de Economía y Empresa and Multidisciplinary Institute of Enterprise (IME), Universidad de Salamanca, 37007 Salamanca, Spain
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Department of Internet of Things, School of Information Science and Engineering, Shaoguan University, Shaoguan 512005, China
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College of Science, Hubei Minzu University, Enshi 445000, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(5), 714; https://doi.org/10.3390/sym11050714
Received: 4 May 2019 / Revised: 21 May 2019 / Accepted: 23 May 2019 / Published: 26 May 2019
Hesitant fuzzy sets extend fuzzy sets by considering many-valued sets of membership degrees. Real applications validate this model and decision making approaches of various forms permit to act in a flexible manner. If we can avail ourselves of hesitant information on non-membership degrees too, then dual hesitant fuzzy sets provide a natural extension of both hesitant fuzzy sets and intuitionistic fuzzy sets. This article defines the concept of dual extended hesitant fuzzy set as the combination of extended hesitant fuzzy sets with dual hesitant fuzzy sets. Its basic algebraic properties are set forth, and the model is linked to other successful models in the literature. We also define a comparison law for the prioritization of elements described in this new framework. Moreover, we present an algorithm to solve the dual extended hesitant fuzzy decision making problem by a weight score function. Finally, the feasibility of this approach is demonstrated by the evaluation of big data industries with an effectiveness test. View Full-Text
Keywords: hesitant fuzzy set; extended hesitant fuzzy set; dual hesitant fuzzy set; decision making hesitant fuzzy set; extended hesitant fuzzy set; dual hesitant fuzzy set; decision making
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MDPI and ACS Style

Alcantud, J.C.R.; Santos-García, G.; Peng, X.; Zhan, J. Dual Extended Hesitant Fuzzy Sets. Symmetry 2019, 11, 714. https://doi.org/10.3390/sym11050714

AMA Style

Alcantud JCR, Santos-García G, Peng X, Zhan J. Dual Extended Hesitant Fuzzy Sets. Symmetry. 2019; 11(5):714. https://doi.org/10.3390/sym11050714

Chicago/Turabian Style

Alcantud, José Carlos R., Gustavo Santos-García, Xindong Peng, and Jianming Zhan. 2019. "Dual Extended Hesitant Fuzzy Sets" Symmetry 11, no. 5: 714. https://doi.org/10.3390/sym11050714

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