Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-making
The main influence of this analysis is to derive two different types of aggregation operators under the consideration of algebraic t-norm and t-conorm and Einstein t-norm and t-conorm for CIF set theory. Because these operators are very effective for evaluating the collection of information into a s...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023305?viewType=HTML |
| _version_ | 1811176136702427136 |
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| author | Wajid Azeem Waqas Mahmood Tahir Mahmood Zeeshan Ali Muhammad Naeem |
| author_facet | Wajid Azeem Waqas Mahmood Tahir Mahmood Zeeshan Ali Muhammad Naeem |
| author_sort | Wajid Azeem |
| collection | DOAJ |
| description | The main influence of this analysis is to derive two different types of aggregation operators under the consideration of algebraic t-norm and t-conorm and Einstein t-norm and t-conorm for CIF set theory. Because these operators are very effective for evaluating the collection of information into a singleton preference. For this, first, we discover the Algebraic and Einstein operational laws for CIF sets. Then, we aim to discover the theory of CCIFWA, CCIFOWA, CCIFWG, CCIFOWG operators and their valuable properties "idempotency, monotonicity and boundedness" and results. Furthermore, we also derive the theory of CCIFEWA, CCIFEOWA, CCIFEWG, CCIFEOWG operators and their valuable properties "idempotency, monotonicity, and boundedness" and results. Some special cases of the derived work are also described in detail. Finally, we illustrate a MADM procedure under the consideration of derived operators to enhance the worth of the presented information. Finally, we compare the presented operators with various existing operators with the help of various suitable examples for showing the reliability and stability of the derived approaches. |
| first_indexed | 2024-04-10T19:48:24Z |
| format | Article |
| id | doaj.art-57abcd6b254041e58f91104637e81620 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T19:48:24Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-57abcd6b254041e58f91104637e816202023-01-29T01:31:53ZengAIMS PressAIMS Mathematics2473-69882023-01-01836036606310.3934/math.2023305Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-makingWajid Azeem0Waqas Mahmood 1Tahir Mahmood 2Zeeshan Ali 3Muhammad Naeem 41. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan2. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan2. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan3. Department of Mathematics, Deanship of Applied Sciences Umm Al-Qura University, Makkah, Saudi ArabiaThe main influence of this analysis is to derive two different types of aggregation operators under the consideration of algebraic t-norm and t-conorm and Einstein t-norm and t-conorm for CIF set theory. Because these operators are very effective for evaluating the collection of information into a singleton preference. For this, first, we discover the Algebraic and Einstein operational laws for CIF sets. Then, we aim to discover the theory of CCIFWA, CCIFOWA, CCIFWG, CCIFOWG operators and their valuable properties "idempotency, monotonicity and boundedness" and results. Furthermore, we also derive the theory of CCIFEWA, CCIFEOWA, CCIFEWG, CCIFEOWG operators and their valuable properties "idempotency, monotonicity, and boundedness" and results. Some special cases of the derived work are also described in detail. Finally, we illustrate a MADM procedure under the consideration of derived operators to enhance the worth of the presented information. Finally, we compare the presented operators with various existing operators with the help of various suitable examples for showing the reliability and stability of the derived approaches.https://www.aimspress.com/article/doi/10.3934/math.2023305?viewType=HTMLcomplex intuitionistic fuzzy setsaveraging/geometric aggregation operatorseinstein aggregation operatorsdecision-making methods |
| spellingShingle | Wajid Azeem Waqas Mahmood Tahir Mahmood Zeeshan Ali Muhammad Naeem Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-making AIMS Mathematics complex intuitionistic fuzzy sets averaging/geometric aggregation operators einstein aggregation operators decision-making methods |
| title | Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-making |
| title_full | Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-making |
| title_fullStr | Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-making |
| title_full_unstemmed | Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-making |
| title_short | Analysis of Einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi-attribute decision-making |
| title_sort | analysis of einstein aggregation operators based on complex intuitionistic fuzzy sets and their applications in multi attribute decision making |
| topic | complex intuitionistic fuzzy sets averaging/geometric aggregation operators einstein aggregation operators decision-making methods |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023305?viewType=HTML |
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