{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T10:05:22Z","timestamp":1648893922843},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2011,10]]},"abstract":"<jats:p> We use the concept of fuzzy similarity to compare the objects of a free image algebra (a set of objects which a group is acting on). In particular, we study those fuzzy similarities that are preserved by the action of the group. Later we consider a deformation mechanism of the image algebra and trackle the problem of comparing deformed images. For that purpose, we characterize those deformation mechanisms that are equivalent to the induced action from a subgroup of the group of deformations. In that case, by using techniques from group representation theory, we extend any fuzzy similarity defined on the image algebra to a fuzzy similarity defined on the whole space of deformed images. Moreover, we prove that the invariance of the similarity with respect to the group action is preserved by this extension. <\/jats:p>","DOI":"10.1142\/s0218488511007271","type":"journal-article","created":{"date-parts":[[2011,9,28]],"date-time":"2011-09-28T05:13:25Z","timestamp":1317186805000},"page":"863-877","source":"Crossref","is-referenced-by-count":1,"title":["FUZZY SIMILARITIES TO COMPARE DEFORMED IMAGES"],"prefix":"10.1142","volume":"19","author":[{"given":"INMACULADA","family":"LIZASOAIN","sequence":"first","affiliation":[{"name":"Department of Mathematics, Universidad P\u00fablica de Navarra, Campus de Arrosad\u00eda, Pamplona, 31006, Spain"}]},{"given":"CRISTINA","family":"MORENO","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universidad P\u00fablica de Navarra, Campus de Arrosad\u00eda, Pamplona, 31006, Spain"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","volume-title":"Classes of Finite Groups","author":"Ballester-Bolinches A.","year":"2006"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/34.993558"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2006.09.012"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(81)90164-5"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/s005000050085"},{"key":"rf6","volume-title":"General Pattern Theory","author":"Grenander U.","year":"1993"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2005.07.003"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011161132514"},{"key":"rf9","volume-title":"Fuzzy Group Theory","author":"Mordeson J. N.","year":"1999"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(71)90199-5"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(99)00158-X"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-0255(71)80005-1"}],"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\/S0218488511007271","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:07:19Z","timestamp":1565132839000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218488511007271"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10]]},"references-count":12,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2011,10]]}},"alternative-id":["10.1142\/S0218488511007271"],"URL":"https:\/\/doi.org\/10.1142\/s0218488511007271","relation":{},"ISSN":["0218-4885","1793-6411"],"issn-type":[{"value":"0218-4885","type":"print"},{"value":"1793-6411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10]]}}}