IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v348y2019icp487-512.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318310658
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.12.018?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Sanahuja, Silvia M., 2016. "New rough approximations for n-cycles and n-paths," Applied Mathematics and Computation, Elsevier, vol. 276(C), pages 96-108.
    3. 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.
    4. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Junliang Du & Sifeng Liu & Yong Liu & Liangyan Tao, 2023. "Multi-criteria Large-Scale Group Decision-Making in Linguistic Contexts: A Perspective of Conflict Analysis and Resolution," Group Decision and Negotiation, Springer, vol. 32(1), pages 177-207, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Du, Wen Sheng & Hu, Bao Qing, 2018. "A fast heuristic attribute reduction approach to ordered decision systems," European Journal of Operational Research, Elsevier, vol. 264(2), pages 440-452.
    2. Mota, Caroline Maria de Miranda & Figueiredo, Ciro José Jardim de & Pereira, Débora Viana e Sousa, 2021. "Identifying areas vulnerable to homicide using multiple criteria analysis and spatial analysis," Omega, Elsevier, vol. 100(C).
    3. 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.
    4. Pang, Jifang & Liang, Jiye, 2012. "Evaluation of the results of multi-attribute group decision-making with linguistic information," Omega, Elsevier, vol. 40(3), pages 294-301.
    5. Bouyssou, Denis & Marchant, Thierry, 2007. "An axiomatic approach to noncompensatory sorting methods in MCDM, II: More than two categories," European Journal of Operational Research, Elsevier, vol. 178(1), pages 246-276, 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. Beynon, Malcolm J., 2005. "A novel technique of object ranking and classification under ignorance: An application to the corporate failure risk problem," European Journal of Operational Research, Elsevier, vol. 167(2), pages 493-517, December.
    8. Hu, Qiwei & Chakhar, Salem & Siraj, Sajid & Labib, Ashraf, 2017. "Spare parts classification in industrial manufacturing using the dominance-based rough set approach," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1136-1163.
    9. Julio Cezar Soares Silva & Diogo Ferreira de Lima Silva & Luciano Ferreira & Adiel Teixeira de Almeida-Filho, 2022. "A dominance-based rough set approach applied to evaluate the credit risk of sovereign bonds," 4OR, Springer, vol. 20(1), pages 139-164, March.
    10. Fan, Tuan-Fang & Liu, Duen-Ren & Tzeng, Gwo-Hshiung, 2007. "Rough set-based logics for multicriteria decision analysis," European Journal of Operational Research, Elsevier, vol. 182(1), pages 340-355, October.
    11. Fatima‐Zohra Younsi & Salem Chakhar & Alessio Ishizaka & Djamila Hamdadou & Omar Boussaid, 2020. "A Dominance‐Based Rough Set Approach for an Enhanced Assessment of Seasonal Influenza Risk," Risk Analysis, John Wiley & Sons, vol. 40(7), pages 1323-1341, July.
    12. Zopounidis, Constantin & Doumpos, Michael, 2002. "Multicriteria classification and sorting methods: A literature review," European Journal of Operational Research, Elsevier, vol. 138(2), pages 229-246, April.
    13. Doumpos, Michael & Zopounidis, Constantin, 2011. "Preference disaggregation and statistical learning for multicriteria decision support: A review," European Journal of Operational Research, Elsevier, vol. 209(3), pages 203-214, March.
    14. Liou, James J.H. & Yen, Leon & Tzeng, Gwo-Hshiung, 2010. "Using decision rules to achieve mass customization of airline services," European Journal of Operational Research, Elsevier, vol. 205(3), pages 680-686, September.
    15. Bouyssou, Denis & Marchant, Thierry, 2007. "An axiomatic approach to noncompensatory sorting methods in MCDM, I: The case of two categories," European Journal of Operational Research, Elsevier, vol. 178(1), pages 217-245, April.
    16. Abbas Mardani & Mehrbakhsh Nilashi & Jurgita Antucheviciene & Madjid Tavana & Romualdas Bausys & Othman Ibrahim, 2017. "Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature," Complexity, Hindawi, vol. 2017, pages 1-33, October.
    17. Ravi Kumar, P. & Ravi, V., 2007. "Bankruptcy prediction in banks and firms via statistical and intelligent techniques - A review," European Journal of Operational Research, Elsevier, vol. 180(1), pages 1-28, July.
    18. Fernandez, Eduardo & Navarro, Jorge & Bernal, Sergio, 2009. "Multicriteria sorting using a valued indifference relation under a preference disaggregation paradigm," European Journal of Operational Research, Elsevier, vol. 198(2), pages 602-609, October.
    19. Doumpos, Michael & Zopounidis, Constantin, 2004. "Developing sorting models using preference disaggregation analysis: An experimental investigation," European Journal of Operational Research, Elsevier, vol. 154(3), pages 585-598, May.
    20. Dembczynski, Krzysztof & Greco, Salvatore & Slowinski, Roman, 2009. "Rough set approach to multiple criteria classification with imprecise evaluations and assignments," European Journal of Operational Research, Elsevier, vol. 198(2), pages 626-636, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:348:y:2019:i:c:p:487-512. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.