IDEAS home Printed from https://ideas.repec.org/a/zib/zbmsmk/v7y2023i1p27-45.html
   My bibliography  Save this article

A New Soft Set Operation: Complementary Soft Binary Piecewise Gamma(Ð Œ¸) Operation

Author

Listed:
  • Aslıhan Sezgin

    (Department of Mathematics and Science Education, Faculty of Education, Amasya University, Amasya, Turkey)

  • Fitnat Nur Aybek

    (Department of Mathematics, Graduate School of Natural and Applied Sciences, Amasya University, Amasya, Turkey)

Abstract

Soft set theory, introduced by Molodtsov, is as an efficacious mathematical tool to deal with uncertainty and it has been applied to many fields both as theoretical and application aspect. Since its inception, different kinds of soft set operations are defined and used in various types. In this paper, we define a new kind of soft set operation called, complementary soft binary piecewise gamma operation and we investigate its basic algebraic properties. Moreover by examing the distribution rules, it is aimed to contribute to the soft set literature by obtaining the relationships between this new soft set operation and other types of soft set operations such as extended soft set operations, complementary extended soft set operations, soft binary piecewise operations, complementary soft binary piecewise operations and restricted soft set operations. This paper can be regarded as a theoritical study of soft set theory.

Suggested Citation

  • Aslıhan Sezgin & Fitnat Nur Aybek, 2023. "A New Soft Set Operation: Complementary Soft Binary Piecewise Gamma(Ð Œ¸) Operation," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 7(1), pages 27-45, June.
    • Handle: RePEc:zib:zbmsmk:v:7:y:2023:i:1:p:27-45
    DOI: 10.26480/msmk.01.2023.27.45
    as

    Download full text from publisher

    File URL: https://matrixsmathematic.com/archives/1msmk2023/1msmk2023-27-45.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.26480/msmk.01.2023.27.45?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
    ---><---

    References listed on IDEAS

    as
    1. Aslıhan Sezgin & Fitnat Nur Aybek & Nurcan Bilgili Güngör, 2023. "A New Soft Set Operation: Complementary Soft Binary Piecewise Union (∪) Operation," Acta Informatica Malaysia (AIM), Zibeline International Publishing, vol. 7(1), pages 38-53, February.
    Full references (including those not matched with items on IDEAS)

    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. Aslıhan Sezgin & Naim Çağman & Akın Osman Atagün & Fitnat Nur Aybek, 2023. "Complemental Binary Operations Of Sets And Their Application To Group Theory," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 7(2), pages 114-121, October.
    2. Aslıhan SEZGİN & Akın Osman ATAGÜN, 2023. "A New Soft Set Operation: Complementary Soft Binary Piecewise Plus (+) Operation," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 7(2), pages 125-142, 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:zib:zbmsmk:v:7:y:2023:i:1:p:27-45. 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: Zibeline International Publishing The email address of this maintainer does not seem to be valid anymore. Please ask Zibeline International Publishing to update the entry or send us the correct address (email available below). General contact details of provider: https://matrixsmathematic.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.