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An Abstract Context to Lattice-Based Ideals (Filters) with Multi-Fuzzy Soft Settings

Author

Listed:
  • J. Vimala

    (Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India)

  • S. Sabeena Begam

    (Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamilnadu, India)

  • Muhammad Saeed

    (Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan)

  • Khuram Ali Khan

    (Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan)

  • Atiqe Ur Rahman

    (Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan)

Abstract

In this study, multi-fuzzy soft ideals (filters) are introduced over the lattice-ordered multi-fuzzy soft set (𠕃𠕄𠔽𠕊𠕊) and their results are shown. The ideas of lattice-ordered multi-fuzzy soft homomorphism (𠕃𠕄𠔽𠕊℠) between two 𠕃𠕄𠔽𠕊𠕊s are then introduced, along with those of lattice-ordered multi-fuzzy soft isotone map 𠕃𠕄𠔽𠕊𠕀𠕄, lattice-ordered multi-fuzzy soft isomorphism (𠕃𠕄𠔽𠕊𠕀), and kernel of 𠕃𠕄𠔽𠕊℠. We also look at the principal ideal and soft prime ideal of 𠕃𠕄𠔽𠕊𠕊.

Suggested Citation

  • J. Vimala & S. Sabeena Begam & Muhammad Saeed & Khuram Ali Khan & Atiqe Ur Rahman, 2025. "An Abstract Context to Lattice-Based Ideals (Filters) with Multi-Fuzzy Soft Settings," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 21-35, March.
    • Handle: RePEc:wsi:nmncxx:v:21:y:2025:i:01:n:s1793005725500024
    DOI: 10.1142/S1793005725500024
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