{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,9]],"date-time":"2026-04-09T22:33:21Z","timestamp":1775774001639,"version":"3.50.1"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[1994,6]]},"abstract":"<jats:p> This paper has to be considered as a guide to solving fuzzy relational equations on the unit interval. Although the number of publications on this topic is quite impressive, there doesn't seem to exist a handy structured overview of all types of equations and their solution procedures. Our overview starts with a thorough treatment of [Formula: see text] equations and systems of [Formula: see text] equations, with [Formula: see text] a continuous triangular norm. It is shown that these are the basic problems: all other equations, image and composition equations, can be reduced to these problems. We do not only structure well-known results, we also present some new insights in the solution procedures of fuzzy relational equations. <\/jats:p>","DOI":"10.1142\/s021848859400016x","type":"journal-article","created":{"date-parts":[[2004,11,19]],"date-time":"2004-11-19T02:21:13Z","timestamp":1100830873000},"page":"205-225","source":"Crossref","is-referenced-by-count":22,"title":["A PRIMER ON SOLVING FUZZY RELATIONAL EQUATIONS ON THE UNIT INTERVAL"],"prefix":"10.1142","volume":"02","author":[{"given":"BERNARD","family":"DE BAETS","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), 9000 Gent, Belgium"}]},{"given":"ETIENNE E.","family":"KERRE","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Computer Science, University of Gent, Krijgslaan 281 (S9), 9000 Gent, Belgium"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021848859400016X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T02:53:32Z","timestamp":1565146412000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021848859400016X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,6]]},"references-count":0,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1994,6]]}},"alternative-id":["10.1142\/S021848859400016X"],"URL":"https:\/\/doi.org\/10.1142\/s021848859400016x","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,6]]}}}