IDEAS home Printed from https://ideas.repec.org/a/spr/fuzinf/v2y2010i4d10.1007_s12543-010-0060-7.html
   My bibliography  Save this article

Soft set theory based on its extension

Author

Listed:
  • Zhen-ming Ma

    (Wuhan University
    Linyi Normal University)

  • Wei Yang

    (Linyi Normal University)

  • Bao-Qing Hu

    (Wuhan University)

Abstract

In this paper, we point out a defect that the definitions of soft subset and soft intersection in Maji’s paper are partial definitions, and then we introduce extension of soft set to redefine and simplify operations between soft sets. At last, we obtain some algebraic properties of new soft operations.

Suggested Citation

  • Zhen-ming Ma & Wei Yang & Bao-Qing Hu, 2010. "Soft set theory based on its extension," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 423-432, December.
  • Handle: RePEc:spr:fuzinf:v:2:y:2010:i:4:d:10.1007_s12543-010-0060-7
    DOI: 10.1007/s12543-010-0060-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12543-010-0060-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s12543-010-0060-7?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. Pinaki Majumdar & S. K. Samanta, 2008. "Similarity Measure Of Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 1-12.
    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. Xi Chen & Pooja Yadav & Rashmi Singh & Sardar M. N. Islam, 2023. "ES Structure Based on Soft J-Subset," Mathematics, MDPI, vol. 11(4), pages 1-9, 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. Huarong Zhang & Minxia Luo, 2019. "The “Generator” of Int-Soft Filters on Residuated Lattices," Mathematics, MDPI, vol. 7(3), pages 1-10, March.
    2. Jiří Močkoř, 2021. "Semiring-Valued Fuzzy Sets and F-Transform," Mathematics, MDPI, vol. 9(23), pages 1-24, December.
    3. Rakhal Das & Anjan Mukherjee & Binod Chandra Tripathy, 2022. "Application of Neutrosophic Similarity Measures in Covid-19," Annals of Data Science, Springer, vol. 9(1), pages 55-70, February.
    4. Wei Yang, 2013. "New similarity measures for soft sets and their application," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 19-25, March.
    5. Çagman, Naim & Enginoglu, Serdar, 2010. "Soft set theory and uni-int decision making," European Journal of Operational Research, Elsevier, vol. 207(2), pages 848-855, December.
    6. Sabeena Begam S & Vimala J & Ganeshsree Selvachandran & Tran Thi Ngan & Rohit Sharma, 2020. "Similarity Measure of Lattice Ordered Multi-Fuzzy Soft Sets Based on Set Theoretic Approach and Its Application in Decision Making," Mathematics, MDPI, vol. 8(8), pages 1-15, July.
    7. Samajh Singh Thakur & Alpa Singh Rajput, 2018. "Connectedness Between Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 53-71, March.
    8. Santanu Acharjee, 2018. "On Connections of Soft Set Theory with Existing Mathematics of Uncertainties: A Short Discussion for Non-Mathematicians with Respect to Soft Set Theory," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 14(01), pages 1-9, March.
    9. Osmin Ferrer & Arley Sierra & José Sanabria, 2021. "Soft Frames in Soft Hilbert Spaces," Mathematics, MDPI, vol. 9(18), pages 1-15, September.
    10. Santanu Acharjee, 2017. "New Results for Kharal’s Similarity Measures of Soft Sets," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(01), pages 55-60, March.

    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:spr:fuzinf:v:2:y:2010:i:4:d:10.1007_s12543-010-0060-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.