Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications
This analysis diagnoses a well-known and dominant theory of complex interval-valued intuitionistic uncertain linguistic (CI-VIUL) settings, which is considered to be a very powerful and capable tool to handle ambiguous sorts of theories. Furthermore, to enhance the features of the newly developed CI...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022751?viewType=HTML |
| _version_ | 1811244782366752768 |
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| author | Zeeshan Ali Tahir Mahmood Muhammad Aslam |
| author_facet | Zeeshan Ali Tahir Mahmood Muhammad Aslam |
| author_sort | Zeeshan Ali |
| collection | DOAJ |
| description | This analysis diagnoses a well-known and dominant theory of complex interval-valued intuitionistic uncertain linguistic (CI-VIUL) settings, which is considered to be a very powerful and capable tool to handle ambiguous sorts of theories. Furthermore, to enhance the features of the newly developed CI-VIUL information, we diagnose the algebraic laws, score value and accuracy value. Moreover, keeping in mind that the Heronian mean (HM) operator is a massive dominant operator that can suggest information on interrelationships, in this manuscript, we develop the CI-VIUL arithmetic HM (CI-VIULAHM) operator, CI-VIUL weighted arithmetic HM (CI-VIULWAHM) operator, CI-VIUL geometric HM (CI-VIULGHM) operator, CI-VIUL weighted geometric HM (CI-VIULWGHM) operator and their well-known achievements in the form of some results, important properties and a discussion of some specific cases. At the end, we check the practicality and usefulness of the initiated approaches, and a multi-attribute decision-making (MADM) technique is implemented for CI-VIUL settings. The reliability of the proposed MADM tool is demonstrated by a computational example that evaluates the impact of the diagnosed approaches on various well-known prevailing theories. |
| first_indexed | 2024-04-12T14:30:55Z |
| format | Article |
| id | doaj.art-c932d9a9b362483a8cd06a3e14839026 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T14:30:55Z |
| publishDate | 2022-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c932d9a9b362483a8cd06a3e148390262022-12-22T03:29:17ZengAIMS PressAIMS Mathematics2473-69882022-05-0178135951363210.3934/math.2022751Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applicationsZeeshan Ali 0Tahir Mahmood1Muhammad Aslam 21. Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan1. Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, Pakistan2. Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaThis analysis diagnoses a well-known and dominant theory of complex interval-valued intuitionistic uncertain linguistic (CI-VIUL) settings, which is considered to be a very powerful and capable tool to handle ambiguous sorts of theories. Furthermore, to enhance the features of the newly developed CI-VIUL information, we diagnose the algebraic laws, score value and accuracy value. Moreover, keeping in mind that the Heronian mean (HM) operator is a massive dominant operator that can suggest information on interrelationships, in this manuscript, we develop the CI-VIUL arithmetic HM (CI-VIULAHM) operator, CI-VIUL weighted arithmetic HM (CI-VIULWAHM) operator, CI-VIUL geometric HM (CI-VIULGHM) operator, CI-VIUL weighted geometric HM (CI-VIULWGHM) operator and their well-known achievements in the form of some results, important properties and a discussion of some specific cases. At the end, we check the practicality and usefulness of the initiated approaches, and a multi-attribute decision-making (MADM) technique is implemented for CI-VIUL settings. The reliability of the proposed MADM tool is demonstrated by a computational example that evaluates the impact of the diagnosed approaches on various well-known prevailing theories.https://www.aimspress.com/article/doi/10.3934/math.2022751?viewType=HTMLcomplex interval-valued intuitionistic uncertain linguistic setsarithmetic/geometric heronian mean operatorsdecision-making support system |
| spellingShingle | Zeeshan Ali Tahir Mahmood Muhammad Aslam Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications AIMS Mathematics complex interval-valued intuitionistic uncertain linguistic sets arithmetic/geometric heronian mean operators decision-making support system |
| title | Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications |
| title_full | Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications |
| title_fullStr | Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications |
| title_full_unstemmed | Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications |
| title_short | Decision-making strategy based on Heronian mean operators for managing complex interval-valued intuitionistic uncertain linguistic settings and their applications |
| title_sort | decision making strategy based on heronian mean operators for managing complex interval valued intuitionistic uncertain linguistic settings and their applications |
| topic | complex interval-valued intuitionistic uncertain linguistic sets arithmetic/geometric heronian mean operators decision-making support system |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022751?viewType=HTML |
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