{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T03:10:09Z","timestamp":1769051409447,"version":"3.49.0"},"reference-count":68,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2019,12,1]],"date-time":"2019-12-01T00:00:00Z","timestamp":1575158400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2019,12,1]],"date-time":"2019-12-01T00:00:00Z","timestamp":1575158400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2019,12,1]],"date-time":"2019-12-01T00:00:00Z","timestamp":1575158400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100010726","name":"Northwest Normal University","doi-asserted-by":"publisher","award":["NWNU-LKQN-18-28"],"award-info":[{"award-number":["NWNU-LKQN-18-28"]}],"id":[{"id":"10.13039\/100010726","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010726","name":"Northwest Normal University","doi-asserted-by":"publisher","award":["6014\/0002020202"],"award-info":[{"award-number":["6014\/0002020202"]}],"id":[{"id":"10.13039\/100010726","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Fuzzy Syst."],"published-print":{"date-parts":[[2019,12]]},"DOI":"10.1109\/tfuzz.2019.2896846","type":"journal-article","created":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T23:54:46Z","timestamp":1549065286000},"page":"2279-2292","source":"Crossref","is-referenced-by-count":36,"title":["On Distributive Laws of Uninorms Over Overlap and Grouping Functions"],"prefix":"10.1109","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1854-9256","authenticated-orcid":false,"given":"Junsheng","family":"Qiao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00247-4"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2015.04.040"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/j.ins.2017.09.065","article-title":"Distributivity and conditional distributivity for $T$-uninorms","volume":"424","author":"jo?i?","year":"2018","journal-title":"Inf Sci"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.fss.2017.03.020","article-title":"On the conditional distributivity of continuous semi-t-operators over uninorms","volume":"334","author":"jo?i?","year":"2018","journal-title":"Fuzzy Sets Syst"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1016\/j.knosys.2013.08.013","article-title":"Distributivity equations and Mayor's aggregation operators","volume":"52","author":"jo?i?","year":"2013","journal-title":"Knowl -Based Syst"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(00)00044-0"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.01.019"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7643-8749-5"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9540-7"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.12.009"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.03.009"},{"key":"ref62","article-title":"The modularity condition for overlap and grouping functions","author":"wang","year":"2018","journal-title":"Fuzzy Sets Syst"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-171077"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1109\/ISKE.2017.8258732"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.11.023"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488517500131"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1142\/S0218488597000312"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2012.05.008"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(95)00133-6"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2016.03.003"},{"key":"ref67","first-page":"479","author":"zapata","year":"2018","journal-title":"Information Processing and Management of Uncertainty in Knowledge-Based Systems"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1142\/9789813273238_0021"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2008.924201"},{"key":"ref1","author":"acz\u00e9l","year":"1966","journal-title":"Lectures on Functional Equations and Their Applications"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2017.04.012"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.02.014"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.01.015"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2014.2370677"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2015.11.006"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1648-2"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2017.05.050"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.12.021"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.01.047"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.08.001"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.06.023"},{"key":"ref57","first-page":"211","article-title":"Analyzing subdistributivity and superdistributivity on overlap and grouping functions","author":"santos","year":"0","journal-title":"Proc 8th Int Summer School Aggregation Oper"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2005.864087"},{"key":"ref55","doi-asserted-by":"crossref","first-page":"446","DOI":"10.1016\/j.fss.2005.04.010","article-title":"The distributive equations for idempotent uninorms and nullnorms","volume":"155","author":"qin","year":"2005","journal-title":"Fuzzy Sets Syst"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2016.01.086"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.10.012"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2017.2776861"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(98)00325-7"},{"key":"ref11","article-title":"General overlap functions","author":"miguel","year":"2018","journal-title":"Fuzzy Sets Syst"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.07.025"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.04.008"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2015.03.049"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/FUZZ-IEEE.2015.7337867"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2016.12.013"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.04.021"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2015.02.008"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-08852-5_26"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.09.003"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2013.05.004"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijar.2017.07.001"},{"key":"ref6","first-page":"300","article-title":"Overlap index, overlap functions and migrativity","author":"bustince","year":"0","journal-title":"Proc IFSA\/EUSFLAT Conf"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-28808-6_8"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2011.2173581"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.08.033"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2014.05.012"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(98)00261-9"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.12.029"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s11047-018-9678-x"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(01)00123-3"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1287\/moor.12.4.597"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2018.2871000"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/BRACIS.2016.073"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1016\/j.knosys.2016.12.004"},{"key":"ref43","first-page":"1","article-title":"A family of Choquet-based nonassociative aggregation functions for application in fuzzy rule-based classification systems","author":"lucca","year":"0","journal-title":"Proc IEEE Int Conf Fuzzy Syst"}],"container-title":["IEEE Transactions on Fuzzy Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/91\/8915883\/08632733.pdf?arnumber=8632733","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,13]],"date-time":"2022-07-13T20:51:22Z","timestamp":1657745482000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8632733\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12]]},"references-count":68,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tfuzz.2019.2896846","relation":{},"ISSN":["1063-6706","1941-0034"],"issn-type":[{"value":"1063-6706","type":"print"},{"value":"1941-0034","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,12]]}}}