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International Journal of Fuzzy Systems

, Volume 20, Issue 3, pp 928–942 | Cite as

Parameter Reduction of Fuzzy Soft Sets: An Adjustable Approach Based on the Three-Way Decision

  • Azadeh Zahedi KhamenehEmail author
  • Adem Kılıçman
Article

Abstract

Parameter reduction is one of the major steps in decision-making problems. It refers to determine a minimal subset of a parameter set which preserves the final decision based on the whole set of parameters. The applicability of soft set (SS) theory to bring out a pattern for parameter reduction is discussed by some researchers. Several algorithms have been proposed for computing a reduction of a soft set; however, they have some drawbacks and limitations. These methods, that are based on the binary-decision rules, are usually inspired from the rough set (RS) technique for deleting dispensable parameters, while the difference between SS theory and RS theory has not received any significant attention. This paper studies a new approach for parameter reduction based on the three-way decision methodology under fuzzy soft models. We first review some existing approaches for reduction of a soft set. Then, we design our algorithm for parameter reduction of fuzzy soft sets according to results of Khameneh et al. (Int J Fuzzy Syst, 2016.  https://doi.org/10.1007/s40815-016-0280-z) paper. The comparison results on a common dataset show the efficiency of our proposed algorithm.

Keywords

Fuzzy soft set Three-way decisions Parameter reduction Multi-criteria group decision-making 

Notes

Acknowledgements

This work is partially supported by the Institute for Mathematical Research, Universiti Putra Malaysia Grant No. 5527179.

Compliance with Ethical Standards

Conflict of interest

The authors declare that they have no conflicts of interests regarding the publication of this article, and that they do not have any direct financial relationships that could lead to a conflict of interest for any of the authors.

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Copyright information

© Taiwan Fuzzy Systems Association and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Institute for Mathematical ResearchUniversiti Putra Malaysia, UPMSerdangMalaysia
  2. 2.Institute for Mathematical Research and Department of Mathematics, Faculty of ScienceUniversiti Putra Malaysia, UPMSerdangMalaysia

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