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Dominance-based rough sets in multi-scale intuitionistic fuzzy decision tables

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  • Huang, Bing
  • Li, Huaxiong
  • Feng, Guofu
  • Zhou, Xianzhong

Abstract

To represent the structure of data measured at different granularity levels hierarchically, the concept of multi-scale information table or decision table has been presented from the perspective of granular computing. In this study, we mainly address the issue of optimal scale selection and rule acquisition in dominance-based multi-scale intuitionistic fuzzy (IF) decision tables. By considering a type of decision systems where condition attributes are taken as dominant IF values and those of decision attributes are symbolic dominance ones, we propose two dominance-based rough sets in multi-scale IF decision tables and discuss their optimal scale selection and rule acquisition algorithms, which are used to acquire decision rules for information system security auditing risk judgment for certified information systems auditors, candidate global supplier selection, and car classification. Unlike in the existing literature, the selection of the optimal scales and reduction are simultaneously performed in the viewpoint of local and global approximations in dominance-based multi-scale IF decision tables.

Suggested Citation

  • Huang, Bing & Li, Huaxiong & Feng, Guofu & Zhou, Xianzhong, 2019. "Dominance-based rough sets in multi-scale intuitionistic fuzzy decision tables," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 487-512.
    • Handle: RePEc:eee:apmaco:v:348:y:2019:i:c:p:487-512
    DOI: 10.1016/j.amc.2018.12.018
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    References listed on IDEAS

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    1. Sanahuja, Silvia M., 2016. "New rough approximations for n-cycles and n-paths," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 96-108.
    2. Du, Wen Sheng & Hu, Bao Qing, 2017. "Dominance-based rough fuzzy set approach and its application to rule induction," European Journal of Operational Research, Elsevier, vol. 261(2), pages 690-703.
    3. Chiaselotti, G. & Gentile, T. & Infusino, F. & Oliverio, P.A., 2018. "Dependency and accuracy measures for directed graphs," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 781-794.
    4. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2001. "Rough sets theory for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 129(1), pages 1-47, February.
    5. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2002. "Rough sets methodology for sorting problems in presence of multiple attributes and criteria," European Journal of Operational Research, Elsevier, vol. 138(2), pages 247-259, April.
    6. Azam, Nouman & Zhang, Yan & Yao, JingTao, 2017. "Evaluation functions and decision conditions of three-way decisions with game-theoretic rough sets," European Journal of Operational Research, Elsevier, vol. 261(2), pages 704-714.
    7. Chakhar, Salem & Ishizaka, Alessio & Labib, Ashraf & Saad, Inès, 2016. "Dominance-based rough set approach for group decisions," European Journal of Operational Research, Elsevier, vol. 251(1), pages 206-224.
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    Cited by:

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