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N-soft sets and their decision making algorithms

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Abstract

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.

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Acknowledgements

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.

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Authors and Affiliations

  1. Department of Mathematics, Universitas Terbuka, South Tangerang, Indonesia

    Fatia Fatimah

  2. Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, Indonesia

    Fatia Fatimah & Dedi Rosadi

  3. Department of Statistics, Universitas Islam Indonesia, Yogyakarta, Indonesia

    R. B. Fajriya Hakim

  4. BORDA Research Unit and IME, University of Salamanca, 37007, Salamanca, Spain

    José Carlos R. Alcantud

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  1. Fatia Fatimah
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  2. Dedi Rosadi
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  3. R. B. Fajriya Hakim
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  4. José Carlos R. Alcantud
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Correspondence to Fatia Fatimah.

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Communicated by A. Di Nola.

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Fatimah, F., Rosadi, D., Hakim, R.B.F. et al. N-soft sets and their decision making algorithms. Soft Comput 22, 3829–3842 (2018). https://doi.org/10.1007/s00500-017-2838-6

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