IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v48y2017i12p2575-2589.html
   My bibliography  Save this article

New and improved: grey multi-granulation rough sets

Author

Listed:
  • Yun Kang
  • Shunxiang Wu
  • Yuwen Li
  • Wei Weng

Abstract

Rough set has drawn great attention in recent decades, among which multi-granulation rough set (MGRS) is an arresting direction. It constructs a formal theoretical framework to solve complex problems under the circumstance of multiple binary relations. However, the fusion of multi-granulation rough set and grey system for acquiring knowledge is still a gap. Toward this end, we devise a grey multi-granulation rough set (GMGRS) by taking multiple grey relational relations into consideration under the framework of MGRS. In grey information system, the constructed grey relational relation that measures the relationship among objects can be used to further establish multiple binary relations. Based on two different approximate strategies (seeking common reserving difference and seeking common eliminating difference), two types of GMGRS are presented, respectively. After discussing several important properties of GMGRS, we discover that the properties of the proposed GMGRS are synchronous with the classical MGRS. Meanwhile, to obtain the attribute reduction under GMGRS, we reconstruct significance measure and termination criterion based on the θ-precision pessimistic GMGRS. Last but not least, theoretical studies and practical examples demonstrate that our proposed GMGRS largely enrich the MGRS theory and provide a new technique for knowledge discovery, which is practical in real-world scenarios.

Suggested Citation

  • Yun Kang & Shunxiang Wu & Yuwen Li & Wei Weng, 2017. "New and improved: grey multi-granulation rough sets," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(12), pages 2575-2589, September.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:12:p:2575-2589
    DOI: 10.1080/00207721.2017.1324922
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2017.1324922
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2017.1324922?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. Kadier, Abudukeremu & Abdeshahian, Peyman & Simayi, Yibadatihan & Ismail, Manal & Hamid, Aidil Abdul & Kalil, Mohd Sahaid, 2015. "Grey relational analysis for comparative assessment of different cathode materials in microbial electrolysis cells," Energy, Elsevier, vol. 90(P2), pages 1556-1562.
    2. Bai, Chunguang & Sarkis, Joseph, 2010. "Integrating sustainability into supplier selection with grey system and rough set methodologies," International Journal of Production Economics, Elsevier, vol. 124(1), pages 252-264, March.
    3. Dimitras, A. I. & Slowinski, R. & Susmaga, R. & Zopounidis, C., 1999. "Business failure prediction using rough sets," European Journal of Operational Research, Elsevier, vol. 114(2), pages 263-280, April.
    4. Pawlak, Zdzislaw, 2005. "Some remarks on conflict analysis," European Journal of Operational Research, Elsevier, vol. 166(3), pages 649-654, November.
    5. Pawlak, Zdzisaw & Sowinski, Roman, 1994. "Rough set approach to multi-attribute decision analysis," European Journal of Operational Research, Elsevier, vol. 72(3), pages 443-459, February.
    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. Bryan, Mark & Bryce, Andrew & Rice, Nigel & Roberts, Jennifer & Sechel, Cristina, 2022. "Exploring mental health disability gaps in the labour market: the UK experience during COVID-19," Labour Economics, Elsevier, vol. 78(C).
    2. Ceglarz, Andrzej & Beneking, Andreas & Ellenbeck, Saskia & Battaglini, Antonella, 2017. "Understanding the role of trust in power line development projects: Evidence from two case studies in Norway," Energy Policy, Elsevier, vol. 110(C), pages 570-580.

    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. Salvatore Barbagallo & Simona Consoli & Nello Pappalardo & Salvatore Greco & Santo Zimbone, 2006. "Discovering Reservoir Operating Rules by a Rough Set Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(1), pages 19-36, February.
    2. 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.
    3. Thomas E. McKee, 2003. "Rough sets bankruptcy prediction models versus auditor signalling rates," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 22(8), pages 569-586.
    4. Tay, Francis E. H. & Shen, Lixiang, 2002. "Economic and financial prediction using rough sets model," European Journal of Operational Research, Elsevier, vol. 141(3), pages 641-659, September.
    5. Lin, Rong-Ho, 2012. "An integrated model for supplier selection under a fuzzy situation," International Journal of Production Economics, Elsevier, vol. 138(1), pages 55-61.
    6. Mak, Brenda & Munakata, Toshinori, 2002. "Rule extraction from expert heuristics: A comparative study of rough sets with neural networks and ID3," European Journal of Operational Research, Elsevier, vol. 136(1), pages 212-229, January.
    7. Zopounidis, Constantin & Doumpos, Michael, 2002. "Multi-group discrimination using multi-criteria analysis: Illustrations from the field of finance," European Journal of Operational Research, Elsevier, vol. 139(2), pages 371-389, June.
    8. Scott, James & Ho, William & Dey, Prasanta K. & Talluri, Srinivas, 2015. "A decision support system for supplier selection and order allocation in stochastic, multi-stakeholder and multi-criteria environments," International Journal of Production Economics, Elsevier, vol. 166(C), pages 226-237.
    9. Pishchulov, Grigory & Trautrims, Alexander & Chesney, Thomas & Gold, Stefan & Schwab, Leila, 2019. "The Voting Analytic Hierarchy Process revisited: A revised method with application to sustainable supplier selection," International Journal of Production Economics, Elsevier, vol. 211(C), pages 166-179.
    10. Małgorzata Przybyła-Kasperek, 2019. "Comparison Of Two Methods For Generating The Coalitions Of Classifiers And Two Methods For Reducing Dimensionality In A Dispersed Decision-Making System," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 1-31, June.
    11. Shrutika Mishra & A. R. Tripathi, 2021. "AI business model: an integrative business approach," Journal of Innovation and Entrepreneurship, Springer, vol. 10(1), pages 1-21, December.
    12. Zhang, Zumeng & Ding, Liping & Wang, Chaofan & Dai, Qiyao & Shi, Yin & Zhao, Yujia & Zhu, Yuxuan, 2022. "Do operation and maintenance contracts help photovoltaic poverty alleviation power stations perform better?," Energy, Elsevier, vol. 259(C).
    13. 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.
    14. Pawlak, Zdzislaw, 1997. "Rough set approach to knowledge-based decision support," European Journal of Operational Research, Elsevier, vol. 99(1), pages 48-57, May.
    15. Paramonovs Sergejs & Ijevleva Ksenija, 2015. "The Role of Marketing Tools in the Improvement of Consumers Financial Literacy," Acta Universitatis Sapientiae, Economics and Business, Sciendo, vol. 27(1), pages 40-45, December.
    16. Chunguang Bai & Joseph Sarkis, 2013. "Green information technology strategic justification and evaluation," Information Systems Frontiers, Springer, vol. 15(5), pages 831-847, November.
    17. Amin Mahmoudi & Saad Ahmed Javed, 2022. "Probabilistic Approach to Multi-Stage Supplier Evaluation: Confidence Level Measurement in Ordinal Priority Approach," Group Decision and Negotiation, Springer, vol. 31(5), pages 1051-1096, October.
    18. 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.
    19. Abdullah Yıldızbaşı & Cihat Öztürk & Deniz Efendioğlu & Serol Bulkan, 2021. "Assessing the social sustainable supply chain indicators using an integrated fuzzy multi-criteria decision-making methods: a case study of Turkey," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(3), pages 4285-4320, March.
    20. Taheri, Mozhdeh & van Geenhuizen, Marina, 2016. "Teams' boundary-spanning capacity at university: Performance of technology projects in commercialization," Technological Forecasting and Social Change, Elsevier, vol. 111(C), pages 31-43.

    More about this item

    Statistics

    Access and download statistics

    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:taf:tsysxx:v:48:y:2017:i:12:p:2575-2589. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.