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A survey of decision making methods based on two classes of hybrid soft set models

Artificial Intelligence Review volume 49, pages 511–529 (2018)Cite this article

Abstract

To the best of our knowledge, the tool of soft set theory is a new efficacious technique to dispose uncertainties and it focuses on the parameterization, while fuzzy set theory emphasizes the truth degree and rough set theory as another tool to handle uncertainties, it places emphasis on granular. However, the real-world problems that under considerations are usual very complicated. Consequently, it is very difficult to solve them by a single mathematical tool. It is worth noting that decision making (briefly, DM) in an imprecise environment has been showing more and more role in real-world applications. Researches on the idiographic applications of the above three uncertain theories as well as their hybrid models in DM have attracted many researchers’ widespread interest. DM methods are not yet proposed based on fusions of the above three uncertain theories. In view of the reason, by compromising the above three uncertain theories, we elaborate some reviews to DM methods based on two classes of hybrid soft models: SRF-sets and SFR-sets. We test all algorithms for DM and computation time on data sets produced by soft sets and FS-sets. The numerical experimentation programs are written for given pseudo codes in MATLAB. At the same time, the comparisons of all algorithms are given. Finally, we expatiate on an overview of techniques based on the involved hybrid soft set models.

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Acknowledgements

The authors are extremely grateful to the editor and the referees for their valuable comments and helpful suggestions which help to improve the presentation of this paper. This research was supported by NNSFC (11461025; 11561023).

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Authors and Affiliations

  1. Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, People’s Republic of China

    Xueling Ma & Jianming Zhan

  2. Department of Mathematics, Islamabad Model College for Girls, F-6/2, Islamabad, Pakistan

    Muhammad Irfan Ali

  3. Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan

    Nayyar Mehmood

Authors
  1. Xueling Ma
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  2. Jianming Zhan
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  3. Muhammad Irfan Ali
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  4. Nayyar Mehmood
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Correspondence to Jianming Zhan.

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Ma, X., Zhan, J., Ali, M.I. et al. A survey of decision making methods based on two classes of hybrid soft set models. Artif Intell Rev 49, 511–529 (2018). https://doi.org/10.1007/s10462-016-9534-2

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Keywords

  • Soft set
  • SRF-set
  • SFR-set
  • DM method