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Characterizations Of Ordered Semigroups By The Properties Of Their Fuzzy Generalized Bi-Ideals

Author

Listed:
  • M. SHABIR

    (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan)

  • A. KHAN

    (Department of Mathematics and Statistics, Allama Iqbal Open University Islamabad, Pakistan)

Abstract

In this paper, we define fuzzy generalized bi-ideals in ordered semigroups and we characterize regular and left weakly regular ordered semigroups by the properties of their fuzzy generalized bi-ideals.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:nmncxx:v:04:y:2008:i:02:n:s1793005708001069
    DOI: 10.1142/S1793005708001069
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.

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