Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making
Pythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set for handling uncertainties in information. Under this environment, in this paper, we introduce the notion of Pythagorean fuzzy Einstein hybrid averaging (PFEHA) aggregation operator along with some of its prope...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2018-07-01
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| Series: | Journal of Intelligent Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/jisys-2018-0071 |
| _version_ | 1818733803571511296 |
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| author | Rahman Khaista Abdullah Saleem Ali Asad Amin Fazli |
| author_facet | Rahman Khaista Abdullah Saleem Ali Asad Amin Fazli |
| author_sort | Rahman Khaista |
| collection | DOAJ |
| description | Pythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set for handling uncertainties in information. Under this environment, in this paper, we introduce the notion of Pythagorean fuzzy Einstein hybrid averaging (PFEHA) aggregation operator along with some of its properties, namely idempotency, boundedness, and monotonicity. PFEHA aggregation operator is the generalization of Pythagorean fuzzy Einstein weighted averaging aggregation operator and Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. The operator proposed in this paper provides more accurate and precise results as compared to the existing operators. Therefore, this method plays a vital role in real-world problems. Finally, we applied the proposed operator and method to multiple-attribute group decision making. |
| first_indexed | 2024-12-17T23:55:16Z |
| format | Article |
| id | doaj.art-2441e88910e14355ae8fb4f383c1e59f |
| institution | Directory Open Access Journal |
| issn | 0334-1860 2191-026X |
| language | English |
| last_indexed | 2024-12-17T23:55:16Z |
| publishDate | 2018-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Journal of Intelligent Systems |
| spelling | doaj.art-2441e88910e14355ae8fb4f383c1e59f2022-12-21T21:28:05ZengDe GruyterJournal of Intelligent Systems0334-18602191-026X2018-07-0129173675210.1515/jisys-2018-0071Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision MakingRahman Khaista0Abdullah Saleem1Ali Asad2Amin Fazli3Department of Mathematics, Hazara University, Mansehra, KPK, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, KPK, PakistanDepartment of Mathematics, Hazara University, Mansehra, KPK, PakistanDepartment of Mathematics, Hazara University, Mansehra, KPK, PakistanPythagorean fuzzy set is one of the successful extensions of the intuitionistic fuzzy set for handling uncertainties in information. Under this environment, in this paper, we introduce the notion of Pythagorean fuzzy Einstein hybrid averaging (PFEHA) aggregation operator along with some of its properties, namely idempotency, boundedness, and monotonicity. PFEHA aggregation operator is the generalization of Pythagorean fuzzy Einstein weighted averaging aggregation operator and Pythagorean fuzzy Einstein ordered weighted averaging aggregation operator. The operator proposed in this paper provides more accurate and precise results as compared to the existing operators. Therefore, this method plays a vital role in real-world problems. Finally, we applied the proposed operator and method to multiple-attribute group decision making.https://doi.org/10.1515/jisys-2018-0071pythagorean fuzzy setpfeha aggregation operatormultiple-attribute group decision-making problem |
| spellingShingle | Rahman Khaista Abdullah Saleem Ali Asad Amin Fazli Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making Journal of Intelligent Systems pythagorean fuzzy set pfeha aggregation operator multiple-attribute group decision-making problem |
| title | Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making |
| title_full | Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making |
| title_fullStr | Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making |
| title_full_unstemmed | Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making |
| title_short | Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making |
| title_sort | pythagorean fuzzy einstein hybrid averaging aggregation operator and its application to multiple attribute group decision making |
| topic | pythagorean fuzzy set pfeha aggregation operator multiple-attribute group decision-making problem |
| url | https://doi.org/10.1515/jisys-2018-0071 |
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