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Optimal Decision Model for Sustainable Green Industry Using AHP and TOPSIS with Picture Fuzzy Soft Aczel-Alsina Operators |
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PP: 637-667 |
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doi:10.18576/jsap/140611
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Author(s) |
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Mehwish Sarfraz,
Talal M. Alharbi,
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Abstract |
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| In contrast to traditional fuzzy and picture fuzzy set theories, soft set theory introduces a parameterized framework that effectively addresses uncertainty in complex data. In the context of data collection, where membership degrees require values to fall within unit intervals, the picture fuzzy soft set is especially crucial for mitigating confusion. It is also acknowledged that the Aczel- Alsina t-conorm and Aczel-Alsina t-norm are widely applicable and flexible in how they process data within these ranges. The main contributions of this paper are the introduction of multiple aggregation operations for data represented by picture fuzzy soft values, with the foundational components being AATRM and AATCRM. For PFSVs, sum and product operations are developed through operational laws based on AATRM and AATCRM. From these operational laws, two operators are proposed: Picture Fuzzy Soft Aczel- Alsina Weighted Averaging and Geometric. Additionally, the paper investigates and contrasts some of these operators’ properties with those that already exist. In order to show the value of the suggested strategy it’s effectiveness of this optimization method for resolving multi-criteria decision-making problems is finally provided and illustrated. |
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