IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i12p1183-d293730.html
   My bibliography  Save this article

An Innovative Approach towards Possibility Fuzzy Soft Ordered Semigroups for Ideals and Its Application

Author

Listed:
  • Sana Habib

    (Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi’an 710072, China)

  • Harish Garg

    (School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University, Patiala 147004, India)

  • Yufeng Nie

    (Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi’an 710072, China)

  • Faiz Muhammad Khan

    (Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi’an 710072, China
    Department of Mathematics and Statistics, University of Swat, Mingora 19130, Pakistan)

Abstract

The objective of this paper is put forward the novel concept of possibility fuzzy soft ideals and the possibility of fuzzy soft interior ideals. The various results in the form of the theorems with these notions are presented and further validated by suitable examples. In modern life decision-making problems, there is a wide applicability of the possibility fuzzy soft ordered semigroup which has also been constructed in the paper to solve the decision-making process. Elementary and fundamental concepts including regular, intra-regular and simple ordered semigroups in terms of possibility fuzzy soft ordered semigroup are presented. Later, the concept of left (resp. right) regular and left (resp. right) simple in terms of possibility fuzzy soft ordered semigroups are delivered. Finally, the notion of possibility fuzzy soft semiprime ideals in an ordered semigroup is defined and illustrated by theorems and example.

Suggested Citation

  • Sana Habib & Harish Garg & Yufeng Nie & Faiz Muhammad Khan, 2019. "An Innovative Approach towards Possibility Fuzzy Soft Ordered Semigroups for Ideals and Its Application," Mathematics, MDPI, vol. 7(12), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1183-:d:293730
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/12/1183/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/12/1183/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Sabu Sebastian & T. V. Ramakrishnan, 2011. "Multi-fuzzy sets: An extension of fuzzy sets," Fuzzy Information and Engineering, Springer, vol. 3(1), pages 35-43, March.
    2. Faiz Muhammad Khan & Nor Haniza Sarmin & Asghar Khan & Hidayat Ullah Khan, 2017. "New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(1), pages 25-33, January.
    3. M. Shabir & A. Khan, 2008. "Characterizations Of Ordered Semigroups By The Properties Of Their Fuzzy Generalized Bi-Ideals," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(02), pages 237-250.
    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. Shahida Bashir & Medhit Fatima & Muhammad Shabir, 2019. "Regular Ordered Ternary Semigroups in Terms of Bipolar Fuzzy Ideals," Mathematics, MDPI, vol. 7(3), pages 1-16, March.
    2. Osman Kazancı & Sarka Hoskova-Mayerova & Bijan Davvaz, 2022. "Algebraic Hyperstructure of Multi-Fuzzy Soft Sets Related to Polygroups," Mathematics, MDPI, vol. 10(13), pages 1-16, June.
    3. Sabeena Begam, S. & Vimala, J., 2022. "Compositions on lattice ordered multi-fuzzy soft matrix and its simulated application in medical diagnosis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 555-563.
    4. Osman Kazancı & Sarka Hoskova-Mayerova & Bijan Davvaz, 2021. "Application Multi-Fuzzy Soft Sets in Hypermodules," Mathematics, MDPI, vol. 9(18), pages 1-14, September.
    5. Ahsan Mahboob & Abdus Salam & Md. Firoj Ali & Noor Mohammad Khan, 2019. "Characterizations of Regular Ordered Semigroups by (∈,∈∨( k ∗ , q k ))-Fuzzy Quasi-Ideals," Mathematics, MDPI, vol. 7(5), pages 1-16, May.
    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. Faiz Muhammad Khan & Nor Haniza Sarmin & Asghar Khan & Hidayat Ullah Khan, 2017. "New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(1), pages 25-33, January.

    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:12:p:1183-:d:293730. 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.