Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator
In this research, we provide tools to overcome the information loss limitation resulting from the requirement to estimate the results in the discrete initial expression domain. Through the use of 2-tuples, which are made up of a linguistic term and a numerical value calculated between <inline-for...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/1/251 |
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| author | Muhammad Qiyas Muhammad Naeem Lazim Abdullah Muhammad Riaz Neelam Khan |
| author_facet | Muhammad Qiyas Muhammad Naeem Lazim Abdullah Muhammad Riaz Neelam Khan |
| author_sort | Muhammad Qiyas |
| collection | DOAJ |
| description | In this research, we provide tools to overcome the information loss limitation resulting from the requirement to estimate the results in the discrete initial expression domain. Through the use of 2-tuples, which are made up of a linguistic term and a numerical value calculated between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>[</mo><mn>0.5</mn><mo>,</mo><mn>0.5</mn><mo>)</mo></mrow></semantics></math></inline-formula>, the linguistic information will be expressed. This model supports continuous representation of the linguistic data within its scope, permitting it to express any information counting received through an aggregation procedure. This study provides a novel approach to develop a linguistic multi-attribute group decision-making (MAGDM) approach with complex fractional orthotriple fuzzy 2-tuple linguistic (CFOF2TL) assessment details. Initially, the concept of a complex fractional orthotriple fuzzy 2-tuple linguistic set (CFO2TLS) is proposed to convey uncertain and fuzzy information. In the meantime, simple aggregation operators, such as CFOF2TL weighted average and geometric operators, are defined. In addition, the CFOF2TL Maclaurin’s symmetric mean (CFOF2TLMSM) operators and their weighted shapes are presented, and their attractive characteristics are also discussed. A new MAGDM approach is built using the developed aggregation operators to address managing economic crises under COVID-19 with the CFOF2TL information. As a result, the effectiveness and robustness of the developed method are accompanied by an empirical example, and a comparative study is carried out by contrasting it with previous approaches. |
| first_indexed | 2024-03-09T11:06:45Z |
| format | Article |
| id | doaj.art-1136b57a324e4e14a968adc9eb98337c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T11:06:45Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-1136b57a324e4e14a968adc9eb98337c2023-12-01T00:54:08ZengMDPI AGSymmetry2073-89942023-01-0115125110.3390/sym15010251Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation OperatorMuhammad Qiyas0Muhammad Naeem1Lazim Abdullah2Muhammad Riaz3Neelam Khan4Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanDepartment of Mathematics Deanship of Applied Sciences, Umm Al-Qura University, Makkah 24231, Saudi ArabiaProgramme of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, MalaysiaDepartment of Mathematics, University of the Punjab, Lahore 54590, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, PakistanIn this research, we provide tools to overcome the information loss limitation resulting from the requirement to estimate the results in the discrete initial expression domain. Through the use of 2-tuples, which are made up of a linguistic term and a numerical value calculated between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>[</mo><mn>0.5</mn><mo>,</mo><mn>0.5</mn><mo>)</mo></mrow></semantics></math></inline-formula>, the linguistic information will be expressed. This model supports continuous representation of the linguistic data within its scope, permitting it to express any information counting received through an aggregation procedure. This study provides a novel approach to develop a linguistic multi-attribute group decision-making (MAGDM) approach with complex fractional orthotriple fuzzy 2-tuple linguistic (CFOF2TL) assessment details. Initially, the concept of a complex fractional orthotriple fuzzy 2-tuple linguistic set (CFO2TLS) is proposed to convey uncertain and fuzzy information. In the meantime, simple aggregation operators, such as CFOF2TL weighted average and geometric operators, are defined. In addition, the CFOF2TL Maclaurin’s symmetric mean (CFOF2TLMSM) operators and their weighted shapes are presented, and their attractive characteristics are also discussed. A new MAGDM approach is built using the developed aggregation operators to address managing economic crises under COVID-19 with the CFOF2TL information. As a result, the effectiveness and robustness of the developed method are accompanied by an empirical example, and a comparative study is carried out by contrasting it with previous approaches.https://www.mdpi.com/2073-8994/15/1/251complex fractional orthotriple fuzzy setfuzzy decision making2-tuple linguistic representation modelMaclaurin’s symmetric mean operator |
| spellingShingle | Muhammad Qiyas Muhammad Naeem Lazim Abdullah Muhammad Riaz Neelam Khan Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator Symmetry complex fractional orthotriple fuzzy set fuzzy decision making 2-tuple linguistic representation model Maclaurin’s symmetric mean operator |
| title | Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator |
| title_full | Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator |
| title_fullStr | Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator |
| title_full_unstemmed | Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator |
| title_short | Decision Support System Based on Complex Fractional Orthotriple Fuzzy 2-Tuple Linguistic Aggregation Operator |
| title_sort | decision support system based on complex fractional orthotriple fuzzy 2 tuple linguistic aggregation operator |
| topic | complex fractional orthotriple fuzzy set fuzzy decision making 2-tuple linguistic representation model Maclaurin’s symmetric mean operator |
| url | https://www.mdpi.com/2073-8994/15/1/251 |
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