Intelligent decision framework for optimal spacecraft shielding material against cosmic radiation under Ⅳ-<i>��</i>-RPF settings

Loredana Ciurdariu; Najam Ul Sahar; Ahmed M. Zidan; Loredana Ciurdariu; Najam Ul Sahar; Ahmed M. Zidan

doi:10.3934/math.20251067

AIMS Mathematics

2025, Volume 10, Issue 10: 24016-24060. doi: 10.3934/math.20251067

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Research article

Intelligent decision framework for optimal spacecraft shielding material against cosmic radiation under Ⅳ-𝑞-RPF settings

1.
Department of Mathematics, Politehnica University of Timisoara, 300006 Timisoara, Romania
2.
Department of Mathematics, Government College University Faisalabad, Pakistan
3.
Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Received: 19 July 2025 Revised: 29 August 2025 Accepted: 01 September 2025 Published: 21 October 2025
MSC : 03E72, 94D05

This research presents two new Yager's ordered weighted aggregation operators using interval-valued $ q $-rung picture fuzzy (Ⅳ-$ q $-RPF) knowledge, namely the interval-valued $ q $-rung picture fuzzy Yager ordered weighted averaging operator (Ⅳ-$ q $-RPFYOWAO) and the interval-valued $ q $-rung picture fuzzy Yager ordered weighted geometric operator (Ⅳ-$ q $-RPFYOWGO). A pair of novel score and accuracy functions for interval-valued $ q $-rung picture fuzzy numbers (Ⅳ-$ q $-RPFNs) is formulated. A step-by-step process is designed to solve multi-attribute decision-making (MADM) problems using the proposed methods in Ⅳ-$ q $-RPF settings. In addition, these methods are efficiently applied to solve the MADM problem of identifying an optimal spacecraft shielding material against cosmic radiation. A detailed comparative study is presented to illustrate the validity of the suggested techniques in comparison with the existing knowledge.
Citation: Loredana Ciurdariu, Najam Ul Sahar, Ahmed M. Zidan. Intelligent decision framework for optimal spacecraft shielding material against cosmic radiation under Ⅳ-𝑞-RPF settings[J]. AIMS Mathematics, 2025, 10(10): 24016-24060. doi: 10.3934/math.20251067

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Abstract

This research presents two new Yager's ordered weighted aggregation operators using interval-valued $ q $-rung picture fuzzy (Ⅳ-$ q $-RPF) knowledge, namely the interval-valued $ q $-rung picture fuzzy Yager ordered weighted averaging operator (Ⅳ-$ q $-RPFYOWAO) and the interval-valued $ q $-rung picture fuzzy Yager ordered weighted geometric operator (Ⅳ-$ q $-RPFYOWGO). A pair of novel score and accuracy functions for interval-valued $ q $-rung picture fuzzy numbers (Ⅳ-$ q $-RPFNs) is formulated. A step-by-step process is designed to solve multi-attribute decision-making (MADM) problems using the proposed methods in Ⅳ-$ q $-RPF settings. In addition, these methods are efficiently applied to solve the MADM problem of identifying an optimal spacecraft shielding material against cosmic radiation. A detailed comparative study is presented to illustrate the validity of the suggested techniques in comparison with the existing knowledge.

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