{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:20:55Z","timestamp":1777702855069,"version":"3.51.4"},"reference-count":26,"publisher":"SAGE Publications","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2019,3,26]]},"DOI":"10.3233\/jifs-18568","type":"journal-article","created":{"date-parts":[[2018,11,9]],"date-time":"2018-11-09T15:30:48Z","timestamp":1541777448000},"page":"2765-2771","source":"Crossref","is-referenced-by-count":66,"title":["Complex fuzzy arithmetic aggregation operators"],"prefix":"10.1177","volume":"36","author":[{"given":"Lvqing","family":"Bi","sequence":"first","affiliation":[{"name":"School of Electronics and Communication Engineering, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, China"},{"name":"School of Information Science and Engineering, Xiamen University, Xiamen, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Songsong","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Xiamen University, Xiamen, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo","family":"Hu","sequence":"additional","affiliation":[{"name":"School of Information Science and Engineering, Xiamen University, Xiamen, China"},{"name":"School of Mechanical and Electrical Engineering, Guizhou Normal University, Guiyang, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sizhao","family":"Li","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, Harbin Engineering University, Harbin, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","reference":[{"key":"10.3233\/JIFS-18568_ref1","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1109\/91.995119","article-title":"Complex fuzzy sets","volume":"10","author":"Ramot","year":"2002","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"10.3233\/JIFS-18568_ref2","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":"Inform Control"},{"key":"10.3233\/JIFS-18568_ref3","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1109\/TFUZZ.2003.814832","article-title":"Complex fuzzy logic","volume":"11","author":"Ramot","year":"2003","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"10.3233\/JIFS-18568_ref4","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1109\/TFUZZ.2004.839669","article-title":"Towards complex fuzzy logic","volume":"13","author":"Dick","year":"2005","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"10.3233\/JIFS-18568_ref5","doi-asserted-by":"crossref","first-page":"175","DOI":"10.3390\/sym9090175","article-title":"The orthogonality between complex fuzzy sets and its application to signal detection","volume":"9","author":"Hu","year":"2017","journal-title":"Symmetry"},{"key":"10.3233\/JIFS-18568_ref6","doi-asserted-by":"crossref","first-page":"4173","DOI":"10.3233\/JIFS-171813","article-title":"The parallelity of complex fuzzy sets and parallelity preserving operators","volume":"34","author":"Bi","year":"2018","journal-title":"JIntell Fuzzy Syst"},{"key":"10.3233\/JIFS-18568_ref7","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-181131"},{"key":"10.3233\/JIFS-18568_ref8","doi-asserted-by":"crossref","first-page":"1227","DOI":"10.1016\/j.ijar.2009.05.010","article-title":"Operation properties and \u00c4-equalities of complex fuzzy sets","volume":"50","author":"Zhang","year":"2009","journal-title":"Int J Approx Reason"},{"key":"10.3233\/JIFS-18568_ref9","doi-asserted-by":"crossref","first-page":"2527","DOI":"10.3233\/IFS-130923","article-title":"Linguistic variables, hedges and several distances on complex fuzzy sets","volume":"26","author":"Alkouri","year":"2014","journal-title":"J Intell Fuzzy Syst"},{"key":"10.3233\/JIFS-18568_ref10","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1002\/int.20454","article-title":"A new interpretation of complex membership grade","volume":"26","author":"Tamir","year":"2011","journal-title":"Int J Intell Syst"},{"key":"10.3233\/JIFS-18568_ref11","doi-asserted-by":"crossref","first-page":"562","DOI":"10.15837\/ijccc.2011.3.2135","article-title":"Axiomatic theory of complex fuzzy logic and complex fuzzy classes","volume":"6","author":"Tamir","year":"2011","journal-title":"Int J Comp Comm Control"},{"key":"10.3233\/JIFS-18568_ref12","unstructured":"D.E. Tamir , M. Last and A. Kandel , Generalized complex fuzzy propositional logic, in Proc World C Soft Computing, San Francisco, CA, USA, 2011."},{"key":"10.3233\/JIFS-18568_ref13","first-page":"2014","article-title":"Interval-valued complex fuzzy logic, Fuzzy Systems (FUZZ-IEEE)","author":"Greenfield","year":"2016","journal-title":"2016 IEEE International Conference on IEEE"},{"key":"10.3233\/JIFS-18568_ref14","first-page":"1","article-title":"Join and meet operations for interval-valued complex fuzzy logic, Fuzzy Information Processing Society (NAFIPS)","author":"Greenfield","year":"2016","journal-title":"2016 Annual Conference of the North American IEEE"},{"issue":"4","key":"10.3233\/JIFS-18568_ref15","doi-asserted-by":"crossref","first-page":"958","DOI":"10.1109\/TFUZZ.2013.2278989","article-title":"Pythagorean membership grades in multi-criteria decision making","volume":"22","author":"Yager","year":"2014","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"10.3233\/JIFS-18568_ref16","first-page":"57","article-title":"Pythagorean fuzzy subsets","author":"Yager","year":"2013","journal-title":"Proceedings of the Joint IFSA Congress and NAFIPS Meeting"},{"key":"10.3233\/JIFS-18568_ref17","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov","year":"1986","journal-title":"Fuzzy Sets Syst"},{"key":"10.3233\/JIFS-18568_ref18","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1002\/int.21584","article-title":"Pythagorean membership grades, complex numbers and decision-making","volume":"28","author":"Yager","year":"2013","journal-title":"Int J Intell Syst"},{"key":"10.3233\/JIFS-18568_ref19","doi-asserted-by":"crossref","first-page":"1009","DOI":"10.1109\/TFUZZ.2015.2500273","article-title":"On pythagorean and complex fuzzy set operations","volume":"24","author":"Dick","year":"2016","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"1","key":"10.3233\/JIFS-18568_ref20","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1109\/21.87068","article-title":"On ordered weighted averaging aggregation operators in multi-criteria decision making","volume":"18","author":"Yager","year":"1988","journal-title":"IEEE Trans Syst Man Cyber net B"},{"key":"10.3233\/JIFS-18568_ref21","doi-asserted-by":"crossref","first-page":"1179","DOI":"10.1109\/TFUZZ.2006.890678","article-title":"Intuitionistic fuzzy aggregation operators","volume":"15","author":"Xu","year":"2007","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"10.3233\/JIFS-18568_ref22","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1080\/03081070600574353","article-title":"Some geometric aggregation operators based on intuitionistic fuzzy sets","volume":"35","author":"Xu","year":"2006","journal-title":"Int J General Systems"},{"key":"10.3233\/JIFS-18568_ref23","unstructured":"Z.S. Xu , Intuitionistic Fuzzy Aggregation and Clustering, Springer, Berlin, 2013."},{"key":"10.3233\/JIFS-18568_ref24","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1002\/int.21953","article-title":"A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making","volume":"33","author":"Zeng","year":"2018","journal-title":"Int J Intell Syst"},{"issue":"6","key":"10.3233\/JIFS-18568_ref25","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1002\/int.21796","article-title":"A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making","volume":"31","author":"Zhang","year":"2016","journal-title":"Int J Intell Syst"},{"key":"10.3233\/JIFS-18568_ref26","doi-asserted-by":"crossref","first-page":"251","DOI":"10.3390\/sym10070251","article-title":"Complex fuzzy geometric aggregation operators","volume":"10","author":"Bi","year":"2018","journal-title":"Symmetry"}],"container-title":["Journal of Intelligent & Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-18568","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:37:03Z","timestamp":1777455423000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/full\/10.3233\/JIFS-18568"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,26]]},"references-count":26,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.3233\/jifs-18568","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,3,26]]}}}