{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T14:25:39Z","timestamp":1777645539918,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2016,11,17]],"date-time":"2016-11-17T00:00:00Z","timestamp":1479340800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2016,11,17]]},"abstract":"<jats:p>In this paper, some new inequalities of Pythagorean fuzzy weighted averaging (PFWA) operator are explored. Later, we develop some Pythagorean fuzzy point operators and introduce generalized Pythagorean fuzzy weighed averaging (GPFWA) operator. Moreover, combining the Pythagorean fuzzy point operators with GPFWA operator, we present some generalized Pythagorean fuzzy point weighted averaging (GPFPWA) operators, which can adjust the degree of the aggregated arguments with some parameters. Based on GPFPWA operators and normal distribution, an approach to multiple attribute decision making (MADM) problem with completely unknown weight information is proposed under Pythagorean fuzzy environment. Finally, an illustrative example is given to show the feasibility and superiority of the developed method.<\/jats:p>","DOI":"10.3233\/fi-2016-1415","type":"journal-article","created":{"date-parts":[[2016,11,18]],"date-time":"2016-11-18T10:23:01Z","timestamp":1479464581000},"page":"415-446","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":117,"title":["Fundamental Properties of Pythagorean Fuzzy Aggregation Operators"],"prefix":"10.1177","volume":"147","author":[{"given":"Xindong","family":"Peng","sequence":"first","affiliation":[{"name":"School of Information Science and Engineering, Shaoguan University, Shaoguan, 512005, Guangdong, China."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Huiyong","family":"Yuan","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Shaoguan University, Shaoguan, 512005, Guangdong, China."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2016,11,17]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1415","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2016-1415","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T06:32:30Z","timestamp":1777444350000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2016-1415"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,17]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,11,17]]}},"alternative-id":["10.3233\/FI-2016-1415"],"URL":"https:\/\/doi.org\/10.3233\/fi-2016-1415","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"value":"0169-2968","type":"print"},{"value":"1875-8681","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11,17]]}}}