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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.<\/jats:p>","DOI":"10.1515\/jisys-2018-0071","type":"journal-article","created":{"date-parts":[[2018,7,12]],"date-time":"2018-07-12T12:07:02Z","timestamp":1531397222000},"page":"736-752","source":"Crossref","is-referenced-by-count":8,"title":["Pythagorean Fuzzy Einstein Hybrid Averaging Aggregation Operator and its Application to Multiple-Attribute Group Decision Making"],"prefix":"10.1515","volume":"29","author":[{"given":"Khaista","family":"Rahman","sequence":"first","affiliation":[{"name":"Department of Mathematics , Hazara University , Mansehra, KPK , Pakistan"}]},{"given":"Saleem","family":"Abdullah","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Abdul Wali Khan University , Mardan, KPK , Pakistan"}]},{"given":"Asad","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Hazara University , Mansehra, KPK , Pakistan"}]},{"given":"Fazli","family":"Amin","sequence":"additional","affiliation":[{"name":"Department of Mathematics , Hazara University , Mansehra, KPK , Pakistan"}]}],"member":"374","published-online":{"date-parts":[[2018,7,9]]},"reference":[{"key":"2025120523362761175_j_jisys-2018-0071_ref_001","doi-asserted-by":"crossref","unstructured":"K. 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