Lattice-Based Decision Models for Green Urban Development: Insights from $$L_{q}*$$ L q ∗ q-Rung Orthopair Multi-fuzzy Soft Set

Abstract Location selection is a critical process in decision-making for projects that involve multiple criteria, such as urban planning, industrial site development, or green building projects. Multiple criteria decision making (MCDM) is a systematic approach that evaluates and ranks potential alte...

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Main Authors: Vimala Jayakumar, Mahalakshmi Pethaperumal, Nasreen Kausar, Dragan Pamucar, Vladimir Simic, Mohammed Abdullah Salman
Format: Article
Language:English
Published: Springer 2025-03-01
Series:International Journal of Computational Intelligence Systems
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Online Access:https://doi.org/10.1007/s44196-025-00755-1
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Summary:Abstract Location selection is a critical process in decision-making for projects that involve multiple criteria, such as urban planning, industrial site development, or green building projects. Multiple criteria decision making (MCDM) is a systematic approach that evaluates and ranks potential alternatives based on a set of often conflicting criteria. This study focuses on selecting the optimal urban location for a green building project by employing the $$L_{q}*$$ L q ∗ q-rung orthopair multi-fuzzy soft-MCDM( $$L_{q}*$$ L q ∗ q-ROMFS) techniques. The $$L_{q}*$$ L q ∗ q-ROMFS set combines elements from two distinct theories with lattice ordering parameters: q-rung orthopair fuzzy set and multi-fuzzy soft set. It provides a mathematical framework with multiple parameters that effectively represents problems involving multi-dimensional data within a dataset. We expand this concept by establishing the algebraic structures of $$L_{q}*$$ L q ∗ q-ROMFS sets, including properties like modularity and distributivity, while also analyzing their homomorphism under lattice mappings. Finally, leveraging the $$L_{q}*$$ L q ∗ q-ROMFS matrix, we propose both a choice matrix and a weighted choice matrix to effectively address the selection of the optimal urban location for a green building project.
ISSN:1875-6883