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Lattice Algebraic Structures on LDMFS Domains

Author

Listed:
  • Jeevitha Kannan

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

  • Vimala Jayakumar

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

  • Arsham Borumand Saeid

    (Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran)

Abstract

The premise of the soft set was designed to model vague ideas. In this kind of model, where the set of parameters exhibits some degree of order, lattice order theory is quite beneficial. For researchers studying uncertainty, the notion of soft sets, lattices, and fuzzy sets has proven essential. In this study, the postulation of the Lattice ordered Linear Diophantine Multi-Fuzzy Soft Set (LLDMFSS) is laid out. The fundamental objective of this study is the formation of hybrid algebraic structures for LLDMFSS. Particularly, the characteristics of complete lattice, modular lattice, and distributive lattice were inhibited in LLDMFSS, and some pertinent findings were obtained. Subsequently, the modular and distributive LLDMFSS characterization theorem was implemented. The notion of the direct product for two LLDMFSSs was then addressed.

Suggested Citation

  • Jeevitha Kannan & Vimala Jayakumar & Arsham Borumand Saeid, 2025. "Lattice Algebraic Structures on LDMFS Domains," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 487-507, July.
    • Handle: RePEc:wsi:nmncxx:v:21:y:2025:i:02:n:s1793005725500218
    DOI: 10.1142/S1793005725500218
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