Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making
In this paper, we introduce the notion of Einstein aggregation operators, such as the interval-valued Pythagorean fuzzy Einstein weighted averaging aggregation operator and the interval-valued Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. We also discuss some desirable...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-02-01
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| Series: | Journal of Intelligent Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jisys-2017-0212 |
| _version_ | 1818734799549890560 |
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| author | Rahman Khaista Abdullah Saleem Khan Muhammad Sajjad Ali |
| author_facet | Rahman Khaista Abdullah Saleem Khan Muhammad Sajjad Ali |
| author_sort | Rahman Khaista |
| collection | DOAJ |
| description | In this paper, we introduce the notion of Einstein aggregation operators, such as the interval-valued Pythagorean fuzzy Einstein weighted averaging aggregation operator and the interval-valued Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. We also discuss some desirable properties, such as idempotency, boundedness, commutativity, and monotonicity. The main advantage of using the proposed operators is that these operators give a more complete view of the problem to the decision makers. These operators provide more accurate and precise results as compared the existing method. Finally, we apply these operators to deal with multiple-attribute group decision making under interval-valued Pythagorean fuzzy information. For this, we construct an algorithm for multiple-attribute group decision making. Lastly, we also construct a numerical example for multiple-attribute group decision making. |
| first_indexed | 2024-12-18T00:11:06Z |
| format | Article |
| id | doaj.art-9072db652fda45609cfba986f7ced9e0 |
| institution | Directory Open Access Journal |
| issn | 0334-1860 2191-026X |
| language | English |
| last_indexed | 2024-12-18T00:11:06Z |
| publishDate | 2018-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Journal of Intelligent Systems |
| spelling | doaj.art-9072db652fda45609cfba986f7ced9e02022-12-21T21:27:41ZengDe GruyterJournal of Intelligent Systems0334-18602191-026X2018-02-0129139340810.1515/jisys-2017-0212Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision MakingRahman Khaista0Abdullah Saleem1Khan Muhammad Sajjad Ali2Department of Mathematics, Hazara University, Mansehra, KPK, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, KPK, PakistanDepartment of Mathematics, Hazara University, Mansehra, KPK, PakistanIn this paper, we introduce the notion of Einstein aggregation operators, such as the interval-valued Pythagorean fuzzy Einstein weighted averaging aggregation operator and the interval-valued Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. We also discuss some desirable properties, such as idempotency, boundedness, commutativity, and monotonicity. The main advantage of using the proposed operators is that these operators give a more complete view of the problem to the decision makers. These operators provide more accurate and precise results as compared the existing method. Finally, we apply these operators to deal with multiple-attribute group decision making under interval-valued Pythagorean fuzzy information. For this, we construct an algorithm for multiple-attribute group decision making. Lastly, we also construct a numerical example for multiple-attribute group decision making.https://doi.org/10.1515/jisys-2017-0212interval-valued pythagorean fuzzy einstein weighted averaging operatorinterval-valued pythagorean fuzzy einstein ordered weighted averaging operatorgroup decision making |
| spellingShingle | Rahman Khaista Abdullah Saleem Khan Muhammad Sajjad Ali Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making Journal of Intelligent Systems interval-valued pythagorean fuzzy einstein weighted averaging operator interval-valued pythagorean fuzzy einstein ordered weighted averaging operator group decision making |
| title | Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making |
| title_full | Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making |
| title_fullStr | Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making |
| title_full_unstemmed | Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making |
| title_short | Some Interval-Valued Pythagorean Fuzzy Einstein Weighted Averaging Aggregation Operators and Their Application to Group Decision Making |
| title_sort | some interval valued pythagorean fuzzy einstein weighted averaging aggregation operators and their application to group decision making |
| topic | interval-valued pythagorean fuzzy einstein weighted averaging operator interval-valued pythagorean fuzzy einstein ordered weighted averaging operator group decision making |
| url | https://doi.org/10.1515/jisys-2017-0212 |
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