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

J. Vimala (), S. Sabeena Begam (), Muhammad Saeed (), Khuram Ali Khan () and Atiqe Ur Rahman
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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

New Mathematics and Natural Computation (NMNC), 2025, vol. 21, issue 01, 21-35

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.

Keywords: Fuzzy soft set; multi-fuzzy soft set; multi-fuzzy soft isomorphism; lattice-ordered multi-fuzzy soft homomorphism; soft prime ideal (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S1793005725500024

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