{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,7]],"date-time":"2023-02-07T09:14:12Z","timestamp":1675761252817},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Image Grap."],"published-print":{"date-parts":[[2002,10]]},"abstract":" We firstly review some fundamentals of fuzzy relation calculus and, by recalling some known results, we improve the mathematical contents of our previous papers by using the properties of a triangular norm over [0,1]. We make wide use of the theory of fuzzy relation equations for getting lossy compression and decompression of images interpreted as two-argument fuzzy matrices.The same scope is achieved by decomposing a fuzzy matrix using the concept of Schein rank. We illustrate two algorithms with a few examples. <\/jats:p>","DOI":"10.1142\/s0219467802000871","type":"journal-article","created":{"date-parts":[[2002,11,25]],"date-time":"2002-11-25T05:16:49Z","timestamp":1038201409000},"page":"617-631","source":"Crossref","is-referenced-by-count":10,"title":["FUZZY RELATION CALCULUS IN THE COMPRESSION AND DECOMPRESSION OF FUZZY RELATIONS"],"prefix":"10.1142","volume":"02","author":[{"given":"VINCENZO","family":"LOIA","sequence":"first","affiliation":[{"name":"Universit\u00e0 di Salerno, Dipartimento di Matematica ed Informatica, via S. Allende, 84081 Baronissi, Salerno, Italy"}]},{"given":"WITOLD","family":"PEDRYCZ","sequence":"additional","affiliation":[{"name":"University of Alberta, Department of Electrical and Computer Engineering, Edmonton, AB, Canada T6G 2G7, Canada"}]},{"given":"SALVATORE","family":"SESSA","sequence":"additional","affiliation":[{"name":"Universit\u00e0 di Napoli \"Federico II\", Dipartimento di Costruzioni e Metodi Matematici in Architettura, via Monteoliveto 3, 80134 Napoli, Italy"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"issue":"2","key":"p_2","first-page":"99","volume":"3","author":"Di Nola A.","year":"1984","journal-title":"Stocastica"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(85)80008-7"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(89)90578-8"},{"issue":"1","key":"p_5","first-page":"33","volume":"1","author":"Di Nola A.","year":"1993","journal-title":"J. Fuzzy Math."},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1007\/s005000050043"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1109\/3477.764876"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(93)90067-V"},{"key":"p_13","first-page":"693","volume":"2","author":"Loia V.","year":"2001","journal-title":"IFSA World Congress and 20th NAFIPS International Conference"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1109\/91.855920"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(93)90181-G"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1109\/3477.938269"}],"container-title":["International Journal of Image and Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219467802000871","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:01:28Z","timestamp":1565125288000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219467802000871"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,10]]},"references-count":11,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2002,10]]}},"alternative-id":["10.1142\/S0219467802000871"],"URL":"https:\/\/doi.org\/10.1142\/s0219467802000871","relation":{},"ISSN":["0219-4678","1793-6756"],"issn-type":[{"value":"0219-4678","type":"print"},{"value":"1793-6756","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,10]]}}}