Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settings
Academics encounter a challenge regulating data-driven unpredictability in numerous complicated decision scenarios. Regulating the cyclical nature of appraisal attributes, determining lower and higher limitations, granting multi-parametric values as a means of assessing argumentation, and modeling u...
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AIMS Press
2024-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024559?viewType=HTML |
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| author | Muhammad Arshad Muhammad Saeed Atiqe Ur Rahman Sanaa A. Bajri Haifa Alqahtani Hamiden Abd El-Wahed Khalifa |
| author_facet | Muhammad Arshad Muhammad Saeed Atiqe Ur Rahman Sanaa A. Bajri Haifa Alqahtani Hamiden Abd El-Wahed Khalifa |
| author_sort | Muhammad Arshad |
| collection | DOAJ |
| description | Academics encounter a challenge regulating data-driven unpredictability in numerous complicated decision scenarios. Regulating the cyclical nature of appraisal attributes, determining lower and higher limitations, granting multi-parametric values as a means of assessing argumentation, and modeling uncertainty are a few examples of these problems. It requires the incorporation of complex plane settings, interval-valued intuitionistic fuzzy settings, and hypersoft settings. Inspired by these kinds of scenarios, the goal of this research was to articulate a new theoretical framework, the interval-valued complex intuitionistic fuzzy hypersoft set ($ \Gamma $-set), which can handle these kinds of problems as a whole under the umbrella of a single framework. First, the concepts of $ \Gamma $-set, as well as its set operations and aggregations, such as decision matrix, cardinal matrix, aggregate matrix, and cardinality set, were examined. The second phase offers an appealing algorithm that consists of nine steps that go from taking into account necessary set construction to making the best choice. A prototype case study analyzing eighteen evaluation qualities and thirty-four sub-attributes for determining an optimal cooling system ($ \mathbb{CSYS}) $ for a factory validates the provided algorithm. Informative comparison analysis and preferred study features were provided as essential components of research to assist academics in making significant advances regarding their field and gradually, but thoroughly, advancing their specialization. |
| first_indexed | 2024-04-24T12:32:56Z |
| format | Article |
| id | doaj.art-741b533653fa449f92c67387256873f0 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T12:32:56Z |
| publishDate | 2024-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-741b533653fa449f92c67387256873f02024-04-08T01:34:24ZengAIMS PressAIMS Mathematics2473-69882024-03-0195113961142210.3934/math.2024559Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settingsMuhammad Arshad0Muhammad Saeed1Atiqe Ur Rahman 2Sanaa A. Bajri3Haifa Alqahtani4Hamiden Abd El-Wahed Khalifa51. Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan1. Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan1. Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan2. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia3. Department of Statistics and Business Analytics, United Arab Emirates University, UAE4. Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia 5. Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptAcademics encounter a challenge regulating data-driven unpredictability in numerous complicated decision scenarios. Regulating the cyclical nature of appraisal attributes, determining lower and higher limitations, granting multi-parametric values as a means of assessing argumentation, and modeling uncertainty are a few examples of these problems. It requires the incorporation of complex plane settings, interval-valued intuitionistic fuzzy settings, and hypersoft settings. Inspired by these kinds of scenarios, the goal of this research was to articulate a new theoretical framework, the interval-valued complex intuitionistic fuzzy hypersoft set ($ \Gamma $-set), which can handle these kinds of problems as a whole under the umbrella of a single framework. First, the concepts of $ \Gamma $-set, as well as its set operations and aggregations, such as decision matrix, cardinal matrix, aggregate matrix, and cardinality set, were examined. The second phase offers an appealing algorithm that consists of nine steps that go from taking into account necessary set construction to making the best choice. A prototype case study analyzing eighteen evaluation qualities and thirty-four sub-attributes for determining an optimal cooling system ($ \mathbb{CSYS}) $ for a factory validates the provided algorithm. Informative comparison analysis and preferred study features were provided as essential components of research to assist academics in making significant advances regarding their field and gradually, but thoroughly, advancing their specialization.https://www.aimspress.com/article/doi/10.3934/math.2024559?viewType=HTMLcomplex fuzzy setinterval-valued fuzzy setcomplex fuzzy soft sethypersoft setdecision makingoptimization |
| spellingShingle | Muhammad Arshad Muhammad Saeed Atiqe Ur Rahman Sanaa A. Bajri Haifa Alqahtani Hamiden Abd El-Wahed Khalifa Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settings AIMS Mathematics complex fuzzy set interval-valued fuzzy set complex fuzzy soft set hypersoft set decision making optimization |
| title | Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settings |
| title_full | Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settings |
| title_fullStr | Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settings |
| title_full_unstemmed | Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settings |
| title_short | Modeling uncertainties associated with multi-attribute decision-making based evaluation of cooling system using interval-valued complex intuitionistic fuzzy hypersoft settings |
| title_sort | modeling uncertainties associated with multi attribute decision making based evaluation of cooling system using interval valued complex intuitionistic fuzzy hypersoft settings |
| topic | complex fuzzy set interval-valued fuzzy set complex fuzzy soft set hypersoft set decision making optimization |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024559?viewType=HTML |
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