{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T12:02:46Z","timestamp":1648987366006},"reference-count":0,"publisher":"IOS Press","license":[{"start":{"date-parts":[[2021,10,14]],"date-time":"2021-10-14T00:00:00Z","timestamp":1634169600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,10,14]]},"abstract":"<jats:p>The law of importation has attracted the interest of many researchers devoted to fuzzy implication functions in the last decades. This property has several important applications, especially in approximate reasoning and image processing. Several generalizations of this property have been proposed. Specifically, one generalization related to the law of migrativity was recently introduced by Baczy\u0144ski et al. in which two fuzzy implication functions are involved. In this paper, some advances on the solution of this functional equation for the particular case where the involved fuzzy conjunction is a t-norm are presented. Indeed, a complete characterization of all those pairs of fuzzy implication functions with a strict natural fuzzy negation satisfying the generalized law of importation is achieved.<\/jats:p>","DOI":"10.3233\/faia210119","type":"book-chapter","created":{"date-parts":[[2021,10,14]],"date-time":"2021-10-14T12:16:06Z","timestamp":1634213766000},"source":"Crossref","is-referenced-by-count":0,"title":["Some Advances on the Solution of the Generalized Law of Importation for Fuzzy Implication Functions"],"prefix":"10.3233","author":[{"given":"Isabel","family":"Aguil\u00f3","sequence":"first","affiliation":[{"name":"SCOPIA research group, Dept. of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma, Spain"},{"name":"Health Research Institute of the Balearic Islands (IdISBa), 07010 Palma, Spain"}]},{"given":"Sebastia","family":"Massanet","sequence":"additional","affiliation":[{"name":"SCOPIA research group, Dept. of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma, Spain"},{"name":"Health Research Institute of the Balearic Islands (IdISBa), 07010 Palma, Spain"}]},{"given":"Juan Vicente","family":"Riera","sequence":"additional","affiliation":[{"name":"SCOPIA research group, Dept. of Mathematics and Computer Science, University of the Balearic Islands, 07122 Palma, Spain"},{"name":"Health Research Institute of the Balearic Islands (IdISBa), 07010 Palma, Spain"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Artificial Intelligence Research and Development"],"original-title":[],"link":[{"URL":"https:\/\/ebooks.iospress.nl\/pdf\/doi\/10.3233\/FAIA210119","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,25]],"date-time":"2021-10-25T13:36:13Z","timestamp":1635168973000},"score":1,"resource":{"primary":{"URL":"https:\/\/ebooks.iospress.nl\/doi\/10.3233\/FAIA210119"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,14]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/faia210119","relation":{},"ISSN":["0922-6389","1879-8314"],"issn-type":[{"value":"0922-6389","type":"print"},{"value":"1879-8314","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,14]]}}}