{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T20:14:20Z","timestamp":1777493660187,"version":"3.51.4"},"reference-count":64,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,12,26]],"date-time":"2022-12-26T00:00:00Z","timestamp":1672012800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Aggregation operators (AOs) are utilized to overcome the influence of uncertain and vague information in different fuzzy environments. A multi-attribute decision-making (MADM) technique plays a vital role in several fields of different environments such as networking analysis, risk assessment, cognitive science, recommender systems, signal processing, and many more domains in ambiguous circumstances. In this article, we elaborated the notion of Aczel\u2013Alsina t-norm (TNM) and t-conorm (TCNM) under the system of complex Pythagorean fuzzy (CPyF) sets (CPyFSs). Some basic operational laws of Aczel\u2013Alsina TNM and TCNM are established including Aczel\u2013Alsina sum, product, scalar multiplication, and power operations based on CPyFSs. We established several AOs of CPyFSs such as CPyF Aczel\u2013Alsina weighted average (CPyFAAWA), and CPyF Aczel\u2013Alsina weighted geometric (CPyFAAWG) operators. The proposed CPyFAAWA and CPyFAAWG operators are symmetric in nature and satisfy the properties of idempotency, monotonicity, boundedness and commutativity. To solve an MADM technique, we established an illustrative example to select a suitable candidate for a vacant post in a multinational company. To see the advantages of our proposed AOs, we compared the results of existing AOs with the results of newly established AOs.<\/jats:p>","DOI":"10.3390\/sym15010068","type":"journal-article","created":{"date-parts":[[2022,12,27]],"date-time":"2022-12-27T07:30:06Z","timestamp":1672126206000},"page":"68","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":34,"title":["Novel Complex Pythagorean Fuzzy Sets under Aczel\u2013Alsina Operators and Their Application in Multi-Attribute Decision Making"],"prefix":"10.3390","volume":"15","author":[{"given":"Huanhuan","family":"Jin","sequence":"first","affiliation":[{"name":"Department of Statistics, Zhejiang University City College, Hangzhou 310015, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2289-7464","authenticated-orcid":false,"given":"Abrar","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Riphah International University Lahore, Lahore 5400, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1438-6413","authenticated-orcid":false,"given":"Kifayat","family":"Ullah","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Riphah International University Lahore, Lahore 5400, Pakistan"}]},{"given":"Aqib","family":"Javed","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Riphah International University Lahore, Lahore 5400, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","article-title":"Fuzzy Sets","volume":"8","author":"Zadeh","year":"1965","journal-title":"Inf. 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