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Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems

Peng, Juan-juan ; Wang, Jian-qiang ; Wang, Jing ; Zhang, Hong-yu ; Chen, Xiao-hong

International journal of systems science, 2016-07, Vol.47 (10), p.2342-2358 [Periódico revisado por pares]

Taylor & Francis

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  • Título:
    Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems
  • Autor: Peng, Juan-juan ; Wang, Jian-qiang ; Wang, Jing ; Zhang, Hong-yu ; Chen, Xiao-hong
  • Assuntos: Agglomeration ; aggregation operators ; Decision making ; Fuzzy set theory ; Fuzzy systems ; multi-criteria group decision-making (MCGDM) ; Operators ; simplified neutrosophic sets (SNSs)
  • É parte de: International journal of systems science, 2016-07, Vol.47 (10), p.2342-2358
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
  • Descrição: As a variation of fuzzy sets and intuitionistic fuzzy sets, neutrosophic sets have been developed to represent uncertain, imprecise, incomplete and inconsistent information that exists in the real world. Simplified neutrosophic sets (SNSs) have been proposed for the main purpose of addressing issues with a set of specific numbers. However, there are certain problems regarding the existing operations of SNSs, as well as their aggregation operators and the comparison methods. Therefore, this paper defines the novel operations of simplified neutrosophic numbers (SNNs) and develops a comparison method based on the related research of intuitionistic fuzzy numbers. On the basis of these operations and the comparison method, some SNN aggregation operators are proposed. Additionally, an approach for multi-criteria group decision-making (MCGDM) problems is explored by applying these aggregation operators. Finally, an example to illustrate the applicability of the proposed method is provided and a comparison with some other methods is made.
  • Editor: Taylor & Francis
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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