{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,2]],"date-time":"2024-07-02T22:27:51Z","timestamp":1719959271501},"reference-count":29,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Fuzzy Sets and Systems"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1016\/j.fss.2023.108837","type":"journal-article","created":{"date-parts":[[2023,12,14]],"date-time":"2023-12-14T17:16:20Z","timestamp":1702574180000},"page":"108837","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["The pseudo-inverse of a monotone function between complete lattices and its use in generating t-norms and t-conorms"],"prefix":"10.1016","volume":"478","author":[{"given":"Yanyan","family":"Dong","sequence":"first","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0001-5092-8278","authenticated-orcid":false,"given":"Bin","family":"Pang","sequence":"additional","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0002-3876-620X","authenticated-orcid":false,"given":"Bernard","family":"De Baets","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.fss.2023.108837_br0010","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.fss.2016.12.004","article-title":"An order induced by nullnorms and its properties","volume":"325","author":"A\u015f\u0131c\u0131","year":"2017","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"10.1016\/j.fss.2023.108837_br0020","first-page":"125","article-title":"Constructing t-norms and t-conorms by using interior and closure operators on bounded lattices","volume":"19","author":"A\u015f\u0131c\u0131","year":"2020","journal-title":"Iran. J. Fuzzy Syst."},{"key":"10.1016\/j.fss.2023.108837_br0030","first-page":"1","article-title":"New constructions of triangular norms and triangular conorms on an arbitrary bounded lattice","volume":"49","author":"A\u015f\u0131c\u0131","year":"2019","journal-title":"Int. J. Gen. Syst."},{"key":"10.1016\/j.fss.2023.108837_br0040","series-title":"Lattices and Ordered Algebraic Structures","author":"Blyth","year":"2005"},{"key":"10.1016\/j.fss.2023.108837_br0050","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.fss.2019.05.017","article-title":"New construction of t-norms and t-conorms on bounded lattices","volume":"395","author":"Dan","year":"2020","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0060","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/S0165-0114(98)00259-0","article-title":"Triangular norms on product lattices","volume":"104","author":"De Baets","year":"1999","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0070","first-page":"281","article-title":"Order norms on bounded partially ordered sets","volume":"2","author":"De Cooman","year":"1994","journal-title":"J. Fuzzy Math."},{"key":"10.1016\/j.fss.2023.108837_br0080","doi-asserted-by":"crossref","first-page":"3898","DOI":"10.1016\/j.ins.2011.05.003","article-title":"Interval additive generators of interval t-norms and interval t-conorms","volume":"181","author":"Dimuro","year":"2011","journal-title":"Inf. Sci."},{"key":"10.1016\/j.fss.2023.108837_br0090","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/S0165-0114(98)00258-9","article-title":"Generalized t-norm structures","volume":"104","author":"Drossos","year":"1999","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0100","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.fss.2019.01.006","article-title":"Lattice-based sum of t-norms on bounded lattices","volume":"386","author":"El-Zekey","year":"2020","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0110","doi-asserted-by":"crossref","first-page":"807","DOI":"10.1002\/int.21713","article-title":"Modified ordinal sums of triangular norms and triangular conorms on bounded lattices","volume":"30","author":"Ertu\u011frul","year":"2015","journal-title":"Int. J. Intell. Syst."},{"key":"10.1016\/j.fss.2023.108837_br0120","series-title":"Fuzzy Preference Modelling and Multicriteria Decision Support","author":"Fodor","year":"1994"},{"key":"10.1016\/j.fss.2023.108837_br0130","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1016\/S0165-0114(03)00125-8","article-title":"On the direct decomposability of t-norms on product lattices","volume":"139","author":"Jenei","year":"2003","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0140","series-title":"Triangular Norms","author":"Klement","year":"2000"},{"key":"10.1016\/j.fss.2023.108837_br0150","series-title":"Fuzzy Sets and Fuzzy Logic: Theory and Application","first-page":"283","author":"Klir","year":"1995"},{"key":"10.1016\/j.fss.2023.108837_br0160","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1016\/j.fss.2010.11.003","article-title":"Completely lattice L-ordered sets with and without L-equality","volume":"166","author":"Martinek","year":"2011","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0170","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.fss.2014.09.020","article-title":"On some classes of discrete additive generators","volume":"264","author":"Mayor","year":"2015","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0180","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.fss.2012.03.002","article-title":"Characterizing when an ordinal sum of t-norms is a t-norm on bounded lattices","volume":"202","author":"Medina","year":"2012","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0190","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1073\/pnas.28.12.535","article-title":"Statistical metrics","volume":"8","author":"Menger","year":"1942","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10.1016\/j.fss.2023.108837_br0200","doi-asserted-by":"crossref","first-page":"1403","DOI":"10.1016\/j.fss.2005.12.021","article-title":"On ordinal sums of triangular norms on bounded lattices","volume":"157","author":"Saminger","year":"2006","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0210","doi-asserted-by":"crossref","first-page":"313","DOI":"10.2140\/pjm.1960.10.313","article-title":"Statistical metric spaces","volume":"10","author":"Schweizer","year":"1960","journal-title":"Pac. J. Math."},{"key":"10.1016\/j.fss.2023.108837_br0220","first-page":"169","article-title":"Associative functions and statistical triangular inequalities","volume":"8","author":"Schweizer","year":"1961","journal-title":"Publ. Math."},{"key":"10.1016\/j.fss.2023.108837_br0230","doi-asserted-by":"crossref","DOI":"10.1016\/j.fss.2022.11.014","article-title":"Fuzzy structures induced by fuzzy betweenness relations","volume":"466","author":"Shi","year":"2023","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0240","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.ins.2021.06.027","article-title":"On the constructions of t-norms on bounded lattices","volume":"575","author":"Sun","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.fss.2023.108837_br0250","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.fss.2020.04.005","article-title":"The additive generators of t-norms and t-conorms on bounded lattices","volume":"408","author":"Sun","year":"2021","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0260","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2018.11.009","article-title":"The constructions of non-continuous additive generators of t-conorms based on discrete additive generators of discrete t-conorms","volume":"378","author":"Vicen\u00edk","year":"2020","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0270","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.fss.2022.06.005","article-title":"The construction of discrete additive generators of t-conorms based on the sum of ranges of discrete additive generators of t-conorms","volume":"448","author":"Vicen\u00edk","year":"2022","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0280","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.fss.2019.06.002","article-title":"Fuzzy betweenness relations and their connection with fuzzy order relations","volume":"384","author":"Zhang","year":"2019","journal-title":"Fuzzy Sets Syst."},{"key":"10.1016\/j.fss.2023.108837_br0290","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.fss.2020.02.011","article-title":"On the construction of fuzzy betweenness relations from metrics","volume":"390","author":"Zhang","year":"2020","journal-title":"Fuzzy Sets Syst."}],"container-title":["Fuzzy Sets and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011423004827?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011423004827?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,1,12]],"date-time":"2024-01-12T17:11:38Z","timestamp":1705079498000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165011423004827"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2]]},"references-count":29,"alternative-id":["S0165011423004827"],"URL":"https:\/\/doi.org\/10.1016\/j.fss.2023.108837","relation":{},"ISSN":["0165-0114"],"issn-type":[{"value":"0165-0114","type":"print"}],"subject":[],"published":{"date-parts":[[2024,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The pseudo-inverse of a monotone function between complete lattices and its use in generating t-norms and t-conorms","name":"articletitle","label":"Article Title"},{"value":"Fuzzy Sets and Systems","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.fss.2023.108837","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2023 Elsevier B.V. All rights reserved.","name":"copyright","label":"Copyright"}],"article-number":"108837"}}