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Its primary target is to unfold the constituents and expound the implementation of the ELECTRE II method for group decision making in complex Pythagorean fuzzy framework. This results in the complex Pythagorean fuzzy ELECTRE II method. By inception, it is intrinsically superior to models using one-dimensional data. It is designed to perform the pairwise comparisons of the alternatives using the core notions of concordance, discordance and indifferent sets, which is then followed by the construction of complex Pythagorean fuzzy concordance and discordance matrices. Further, the strong and weak outranking relations are developed by the comparison of concordance and discordance indices with the concordance and discordance levels. Later, the forward, reverse and average rankings of the alternatives are computed by the dint of strong and weak outranking graphs. This methodology is supported by a case study for the selection of wastewater treatment process, and by a numerical example for the selection of the best cloud solution for a big data project. Its consistency is confirmed by an effectiveness test and comparison analysis with the Pythagorean fuzzy ELECTRE II and complex Pythagorean fuzzy ELECTRE I methods.<\/jats:p>","DOI":"10.1007\/s00521-021-06847-1","type":"journal-article","created":{"date-parts":[[2022,1,21]],"date-time":"2022-01-21T11:02:32Z","timestamp":1642762952000},"page":"8069-8102","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":49,"title":["A new outranking method for multicriteria decision making with complex Pythagorean fuzzy information"],"prefix":"10.1007","volume":"34","author":[{"given":"Muhammad","family":"Akram","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kiran","family":"Zahid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4533-9281","authenticated-orcid":false,"given":"Jos\u00e9 Carlos R.","family":"Alcantud","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,1,21]]},"reference":[{"key":"6847_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48318-9","volume-title":"Multiple attributes decision making methods and applications","author":"CL Hwang","year":"1981","unstructured":"Hwang CL, Yoon K (1981) Multiple attributes decision making methods and applications. 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