An innovative algorithm based on weighted fuzzy soft multisets and its application in selecting optimal construction materials

Esra Korkmaz; Esra Korkmaz

doi:10.3934/math.20241336

AIMS Mathematics

2024, Volume 9, Issue 10: 27512-27534. doi: 10.3934/math.20241336

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Research article

An innovative algorithm based on weighted fuzzy soft multisets and its application in selecting optimal construction materials

Esra Korkmaz ^,

Department of Computer Technologies, Düzce University, Düzce, Turkey

Received: 26 July 2024 Revised: 03 September 2024 Accepted: 13 September 2024 Published: 23 September 2024
MSC : 03E70, 03E72, 03E75

Effective decision-making is critical across various domains, including technology, medicine, and engineering. To address the complexities of decision-making, particularly in scenarios involving both positive and negative parameters, this paper introduces an innovative algorithm based on weighted fuzzy soft multisets. This algorithm mitigates the issue of counterintuitive results often encountered in existing methods. By incorporating the concept of uniform fuzzy soft multisets and considering the conditional structure of these sets, our approach advances the theoretical framework of decision-making while providing a practical tool for complex scenarios. To demonstrate its practical applicability, we conduct a case study focused on selecting optimal construction materials for a building project, utilizing data from established engineering standards and a comprehensive wood properties database. The key findings of our sensitivity analysis highlight the algorithm's robustness to weight changes and adaptability to different decision sequences. These findings highlight the algorithm's potential to enhance decision support systems across various fields, such as engineering, healthcare, and environmental management. This potential is particularly valuable in complex, multi-criteria scenarios that demand nuanced, context-aware solutions.
- decision-making,
- uniform fuzzy soft multiset,
- weighted fuzzy soft multiset,
- construction material selection
Citation: Esra Korkmaz. An innovative algorithm based on weighted fuzzy soft multisets and its application in selecting optimal construction materials[J]. AIMS Mathematics, 2024, 9(10): 27512-27534. doi: 10.3934/math.20241336

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Abstract

Effective decision-making is critical across various domains, including technology, medicine, and engineering. To address the complexities of decision-making, particularly in scenarios involving both positive and negative parameters, this paper introduces an innovative algorithm based on weighted fuzzy soft multisets. This algorithm mitigates the issue of counterintuitive results often encountered in existing methods. By incorporating the concept of uniform fuzzy soft multisets and considering the conditional structure of these sets, our approach advances the theoretical framework of decision-making while providing a practical tool for complex scenarios. To demonstrate its practical applicability, we conduct a case study focused on selecting optimal construction materials for a building project, utilizing data from established engineering standards and a comprehensive wood properties database. The key findings of our sensitivity analysis highlight the algorithm's robustness to weight changes and adaptability to different decision sequences. These findings highlight the algorithm's potential to enhance decision support systems across various fields, such as engineering, healthcare, and environmental management. This potential is particularly valuable in complex, multi-criteria scenarios that demand nuanced, context-aware solutions.

References

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