Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems
The idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information. In intelligence decision making based on BCF sets, it is a critical dilemma to compare...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/10/1726 |
| _version_ | 1797498150164889600 |
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| author | Tahir Mahmood Ubaid ur Rehman Zeeshan Ali Muhammad Aslam Ronnason Chinram |
| author_facet | Tahir Mahmood Ubaid ur Rehman Zeeshan Ali Muhammad Aslam Ronnason Chinram |
| author_sort | Tahir Mahmood |
| collection | DOAJ |
| description | The idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information. In intelligence decision making based on BCF sets, it is a critical dilemma to compare or rank positive and negative membership grades. In this framework, we deliberated various techniques for aggregating the collection of information into a singleton set, called BCF weighted arithmetic averaging (BCFWAA), BCF ordered weighted arithmetic averaging (BCFOWAA), BCF weighted geometric averaging (BCFWGA), and BCF ordered weighted geometric averaging (BCFOWGA) operators for BCF numbers (BCFNs). To illustrate the feasibility and original worth of the diagnosed approaches, we demonstrated various properties of the diagnosed operators, in addition to their capability that the evaluated value of a set of BCF numbers is a unique BCF number. Further, multiattribute decision making (“MADM”) refers to a technique employed to compute a brief and dominant assessment of opinions with multiattributes. The main influence of this theory is implementing the diagnosed theory in the field of the MADM tool using BCF settings. Finally, a benchmark dilemma is used for comparison with various prevailing techniques to justify the cogency and dominancy of the evaluated operators. |
| first_indexed | 2024-03-10T03:29:21Z |
| format | Article |
| id | doaj.art-d88c8dcce5764a44acb5af5f68016a6c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:29:21Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-d88c8dcce5764a44acb5af5f68016a6c2023-11-23T12:01:32ZengMDPI AGMathematics2227-73902022-05-011010172610.3390/math10101726Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support SystemsTahir Mahmood0Ubaid ur Rehman1Zeeshan Ali2Muhammad Aslam3Ronnason Chinram4Department of Mathematics & Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics & Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics & Statistics, International Islamic University, Islamabad 44000, PakistanDepartment of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaAlgebra and Applications Research Unit, Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, ThailandThe idea of bipolar complex fuzzy (BCF) sets, as a genuine modification of both bipolar fuzzy sets and complex fuzzy sets, gives a massive valuable framework for representing and evaluating ambiguous information. In intelligence decision making based on BCF sets, it is a critical dilemma to compare or rank positive and negative membership grades. In this framework, we deliberated various techniques for aggregating the collection of information into a singleton set, called BCF weighted arithmetic averaging (BCFWAA), BCF ordered weighted arithmetic averaging (BCFOWAA), BCF weighted geometric averaging (BCFWGA), and BCF ordered weighted geometric averaging (BCFOWGA) operators for BCF numbers (BCFNs). To illustrate the feasibility and original worth of the diagnosed approaches, we demonstrated various properties of the diagnosed operators, in addition to their capability that the evaluated value of a set of BCF numbers is a unique BCF number. Further, multiattribute decision making (“MADM”) refers to a technique employed to compute a brief and dominant assessment of opinions with multiattributes. The main influence of this theory is implementing the diagnosed theory in the field of the MADM tool using BCF settings. Finally, a benchmark dilemma is used for comparison with various prevailing techniques to justify the cogency and dominancy of the evaluated operators.https://www.mdpi.com/2227-7390/10/10/1726bipolar complex fuzzy settingsaveraging/geometric aggregation operatorssupport decision-making techniques |
| spellingShingle | Tahir Mahmood Ubaid ur Rehman Zeeshan Ali Muhammad Aslam Ronnason Chinram Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems Mathematics bipolar complex fuzzy settings averaging/geometric aggregation operators support decision-making techniques |
| title | Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems |
| title_full | Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems |
| title_fullStr | Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems |
| title_full_unstemmed | Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems |
| title_short | Identification and Classification of Aggregation Operators Using Bipolar Complex Fuzzy Settings and Their Application in Decision Support Systems |
| title_sort | identification and classification of aggregation operators using bipolar complex fuzzy settings and their application in decision support systems |
| topic | bipolar complex fuzzy settings averaging/geometric aggregation operators support decision-making techniques |
| url | https://www.mdpi.com/2227-7390/10/10/1726 |
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