IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i1p95-d198500.html
   My bibliography  Save this article

Neutrosophic Multigroups and Applications

Author

Listed:
  • Vakkas Uluçay

    (Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey)

  • Memet Şahin

    (Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey)

Abstract

In recent years, fuzzy multisets and neutrosophic sets have become a subject of great interest for researchers and have been widely applied to algebraic structures include groups, rings, fields and lattices. Neutrosophic multiset is a generalization of multisets and neutrosophic sets. In this paper, we proposed a algebraic structure on neutrosophic multisets is called neutrosophic multigroups which allow the truth-membership, indeterminacy-membership and falsity-membership sequence have a set of real values between zero and one. This new notation of group as a bridge among neutrosophic multiset theory, set theory and group theory and also shows the effect of neutrosophic multisets on a group structure. We finally derive the basic properties of neutrosophic multigroups and give its applications to group theory.

Suggested Citation

  • Vakkas Uluçay & Memet Şahin, 2019. "Neutrosophic Multigroups and Applications," Mathematics, MDPI, vol. 7(1), pages 1-17, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:95-:d:198500
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/1/95/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/1/95/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Florentin Smarandache & Mehmet Şahin & Abdullah Kargın, 2018. "Neutrosophic Triplet G-Module," Mathematics, MDPI, vol. 6(4), pages 1-9, April.
    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. Mikail Bal & Necati Olgun, 2018. "Soft Neutrosophic Modules," Mathematics, MDPI, vol. 6(12), pages 1-8, December.

    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:gam:jmathe:v:7:y:2019:i:1:p:95-:d:198500. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.