Soft Computing

, Volume 22, Issue 12, pp 3829–3842 | Cite as

N-soft sets and their decision making algorithms

  • Fatia FatimahEmail author
  • Dedi Rosadi
  • R. B. Fajriya Hakim
  • José Carlos R. Alcantud


In this paper, we motivate and introduce the concept of N-soft set as an extended soft set model. Some useful algebraic definitions and properties are given. We cite real examples that prove that N-soft sets are a cogent model for binary and non-binary evaluations in numerous kinds of decision making problems. Finally, we propose decision making procedures for N-soft sets.


N-soft set Non-binary evaluation Decision making Choice value Intersection and union 



Part of this research was done, while the first author was invited at the Department of Economics and Economic History in Salamanca. Their hospitality is gratefully acknowledged. The constructive comments by an anonymous referee have helped us to improve the paper and are highly appreciated.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest regarding the publication of this article.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsUniversitas TerbukaSouth TangerangIndonesia
  2. 2.Department of MathematicsUniversitas Gadjah MadaYogyakartaIndonesia
  3. 3.Department of StatisticsUniversitas Islam IndonesiaYogyakartaIndonesia
  4. 4.BORDA Research Unit and IMEUniversity of SalamancaSalamancaSpain

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