Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein Operations
The idea of combine aggregation and intuitionistic fuzzy information plays essential role in multi criteria decision making (MCDM) process. However, this new branch has attracted researchers that study in different fields recently. In this paper, we study MCDM problems with intuitionistic fuzzy envi...
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| Format: | Article |
| Sprog: | English |
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Tsinghua University Press
2017-03-01
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| Serier: | Fuzzy Information and Engineering |
| Fag: | |
| Online adgang: | http://www.sciencedirect.com/science/article/pii/S1616865817300742 |
| _version_ | 1827846144150994944 |
|---|---|
| author | S. Gümüş O.¨ Bali |
| author_facet | S. Gümüş O.¨ Bali |
| author_sort | S. Gümüş |
| collection | DOAJ |
| description | The idea of combine aggregation and intuitionistic fuzzy information plays essential role in multi criteria decision making (MCDM) process. However, this new branch has attracted researchers that study in different fields recently. In this paper, we study MCDM problems with intuitionistic fuzzy environment. Firstly, we introduce some operations related with Einstein t-norm and t-conorm such as, Einstein sum, product and exponentiation. After that, we define dynamic intuitionistic fuzzy Einstein averaging (DIFWAϵ) operator and dynamic intuitionistic fuzzy Einstein geometric averaging (DIFWGϵ) operator. Their notable property is that collect and aggregate values in different period based on Einstein operations in intuitionistic fuzzy set (IFS)s. In addition, we compare the defined operators with the existing intuitionistic fuzzy dynamic operators and get the corresponding relations. We establish two methods using with DIFWAϵ and DIFWGϵ to solve MCDM problems with intuitionistic fuzzy tools. Finally, an illustrated example is presented to show the applicability of the introduced methods. |
| first_indexed | 2024-03-12T09:08:23Z |
| format | Article |
| id | doaj.art-d9a48daa21db402db8ddd466eb0ea095 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T09:08:23Z |
| publishDate | 2017-03-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-d9a48daa21db402db8ddd466eb0ea0952023-09-02T15:10:19ZengTsinghua University PressFuzzy Information and Engineering1616-86582017-03-0191456510.1016/j.fiae.2017.03.003Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein OperationsS. Gümüş0O.¨ Bali1Department of Civil, Environmental, and Construction Engineering, University of Central Florida, Orlando, FL 32816, USADepartment of Basic Sciences, Turkish Military Academy, Ankara, TurkeyThe idea of combine aggregation and intuitionistic fuzzy information plays essential role in multi criteria decision making (MCDM) process. However, this new branch has attracted researchers that study in different fields recently. In this paper, we study MCDM problems with intuitionistic fuzzy environment. Firstly, we introduce some operations related with Einstein t-norm and t-conorm such as, Einstein sum, product and exponentiation. After that, we define dynamic intuitionistic fuzzy Einstein averaging (DIFWAϵ) operator and dynamic intuitionistic fuzzy Einstein geometric averaging (DIFWGϵ) operator. Their notable property is that collect and aggregate values in different period based on Einstein operations in intuitionistic fuzzy set (IFS)s. In addition, we compare the defined operators with the existing intuitionistic fuzzy dynamic operators and get the corresponding relations. We establish two methods using with DIFWAϵ and DIFWGϵ to solve MCDM problems with intuitionistic fuzzy tools. Finally, an illustrated example is presented to show the applicability of the introduced methods.http://www.sciencedirect.com/science/article/pii/S1616865817300742Dynamic operatorWeighted averaging operatorIntuitionistic fuzzy setEinstein operations |
| spellingShingle | S. Gümüş O.¨ Bali Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein Operations Fuzzy Information and Engineering Dynamic operator Weighted averaging operator Intuitionistic fuzzy set Einstein operations |
| title | Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein Operations |
| title_full | Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein Operations |
| title_fullStr | Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein Operations |
| title_full_unstemmed | Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein Operations |
| title_short | Dynamic Aggregation Operators Based on Intuitionistic Fuzzy Tools and Einstein Operations |
| title_sort | dynamic aggregation operators based on intuitionistic fuzzy tools and einstein operations |
| topic | Dynamic operator Weighted averaging operator Intuitionistic fuzzy set Einstein operations |
| url | http://www.sciencedirect.com/science/article/pii/S1616865817300742 |
| work_keys_str_mv | AT sgumus dynamicaggregationoperatorsbasedonintuitionisticfuzzytoolsandeinsteinoperations AT obali dynamicaggregationoperatorsbasedonintuitionisticfuzzytoolsandeinsteinoperations |