{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T06:10:45Z","timestamp":1698559845591},"reference-count":6,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":3238,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1998,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We show that the existence of an infinite set can be reduced to the existence of finite sets \u201cas big as we will\u201d, provided that a multivalued extension of the relation of equipotence is admitted. In accordance, we modelize the notion of infinite set by a fuzzy subset representing the class of (finite) wide sets.<\/jats:p>","DOI":"10.1002\/malq.19980440310","type":"journal-article","created":{"date-parts":[[2007,5,31]],"date-time":"2007-05-31T08:19:54Z","timestamp":1180599594000},"page":"383-393","source":"Crossref","is-referenced-by-count":2,"title":["Grasping Infinity by Finite Sets"],"prefix":"10.1002","volume":"44","author":[{"given":"Ferrante","family":"Formato","sequence":"first","affiliation":[]},{"given":"Giangiacomo","family":"Gerla","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00485654"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(91)90163-K"},{"key":"e_1_2_1_4_2","first-page":"197","article-title":"Similarity in fuzzy reasoning","volume":"2","author":"Klawonn F.","year":"1995","journal-title":"Mathware and Soft Computing"},{"key":"e_1_2_1_5_2","volume-title":"Neural Networks and Fuzzy Systems","author":"Kosko B.","year":"1992"},{"key":"e_1_2_1_6_2","volume-title":"Fuzzy Sets and their Applications","author":"Novak V.","year":"1989"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.2307\/2183852"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19980440310","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19980440310","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T00:49:46Z","timestamp":1698540586000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19980440310"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1998,1]]}},"alternative-id":["10.1002\/malq.19980440310"],"URL":"https:\/\/doi.org\/10.1002\/malq.19980440310","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,1]]}}}