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Neural Computing and Applications

, Volume 31, Supplement 1, pp 397–407 | Cite as

Probabilistic soft sets and dual probabilistic soft sets in decision-making

  • Fatia FatimahEmail author
  • Dedi Rosadi
  • RB. Fajriya Hakim
  • José Carlos R. Alcantud
Original Article

Abstract

Since its introduction by Molodstov (Computers & Mathematics with Applications 37(4):19–31 1999), soft set theory has been widely applied in various fields of study. Soft set theory has also been combined with other theories like fuzzy sets theory, rough sets theory, and probability theory. The combination of soft sets and probability theory generates probabilistic soft set theory. However, decision-making based on the probabilistic soft set theory has not been discussed in the literature. In this paper, we propose new algorithms for decision-making based on the probabilistic soft set theory. An example to show the application of these algorithms is given, and its possible extensions and reinterpretations are discussed. Inspired by realistic situations, the notion of dual probabilistic soft sets is proposed, and also, its application in decision-making is investigated.

Keywords

Soft sets Probabilistic soft sets Dual probabilistic soft sets Decision-making 

Notes

Acknowledgments

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 authors are thankful to the Editor-in-Chief, Professor John MacIntyre, and the anonymous referees for their time and efforts to review this article.

Compliance with Ethical Standards

Conflict of interests

The authors declare that they have no conflict of interest.

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  • Fatia Fatimah
    • 1
    • 2
    Email author
  • Dedi Rosadi
    • 1
  • RB. Fajriya Hakim
    • 3
  • José Carlos R. Alcantud
    • 4
  1. 1.Department of MathematicsUniversitas Gadjah MadaYogyakartaIndonesia
  2. 2.Department of MathematicsUniversitas TerbukaSouth TangerangIndonesia
  3. 3.Department of StatisticsUniversitas Islam IndonesiaYogyakartaIndonesia
  4. 4.BORDA Research Unit and IMEUniversity of SalamancaSalamancaSpain

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