{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T22:05:12Z","timestamp":1743026712480,"version":"3.40.3"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319914787"},{"type":"electronic","value":"9783319914794"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-91479-4_58","type":"book-chapter","created":{"date-parts":[[2018,5,17]],"date-time":"2018-05-17T14:08:23Z","timestamp":1526566103000},"page":"703-714","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On Cantor\u2019s Theorem for Fuzzy Power\u00a0Sets"],"prefix":"10.1007","author":[{"given":"Michal","family":"Hol\u010dapek","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,5,18]]},"reference":[{"key":"58_CR1","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/0165-0114(80)90060-3","volume":"4","author":"W Bandler","year":"1980","unstructured":"Bandler, W., Kohout, L.: Fuzzy power sets and fuzzy implication operators. Fuzzy Sets Syst. 4, 13\u201330 (1980)","journal-title":"Fuzzy Sets Syst."},{"key":"58_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-0633-1","volume-title":"Fuzzy Relational Systems: Foundations and Principles","author":"R B\u011blohl\u00e1vek","year":"2002","unstructured":"B\u011blohl\u00e1vek, R.: Fuzzy Relational Systems: Foundations and Principles. Kluwer Academic Publisher, New York (2002)"},{"key":"58_CR3","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/0165-0114(79)90021-6","volume":"2","author":"S Gottwald","year":"1979","unstructured":"Gottwald, S.: Set theory for fuzzy sets of higher level. Fuzzy Sets Syst. 2, 125\u2013151 (1979)","journal-title":"Fuzzy Sets Syst."},{"issue":"1","key":"58_CR4","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1093\/jigpal\/jzs023","volume":"21","author":"P H\u00e1jek","year":"2013","unstructured":"H\u00e1jek, P., Han\u00edkov\u00e1, Z.: Interpreting lattice-valued set theory in fuzzy set theory. Logic J. IGPL 21(1), 77\u201390 (2013)","journal-title":"Logic J. IGPL"},{"key":"58_CR5","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"234","DOI":"10.1007\/978-3-319-08855-6_24","volume-title":"Information Processing and Management of Uncertainty in Knowledge-Based Systems","author":"M Hol\u010dapek","year":"2014","unstructured":"Hol\u010dapek, M.: A functional approach to cardinality of finite fuzzy sets. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds.) IPMU 2014. CCIS, vol. 443, pp. 234\u2013243. Springer, Cham (2014). https:\/\/doi.org\/10.1007\/978-3-319-08855-6_24"},{"key":"58_CR6","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"510","DOI":"10.1007\/978-3-319-40581-0_41","volume-title":"Information Processing and Management of Uncertainty in Knowledge-Based Systems","author":"M Hol\u010dapek","year":"2016","unstructured":"Hol\u010dapek, M.: Graded dominance and cantor-bernstein equipollence of fuzzy sets. In: Carvalho, J.P., Lesot, M.-J., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R.R. (eds.) IPMU 2016. CCIS, vol. 611, pp. 510\u2013521. Springer, Cham (2016). https:\/\/doi.org\/10.1007\/978-3-319-40581-0_41"},{"key":"58_CR7","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1016\/j.fss.2015.08.010","volume":"298","author":"M Hol\u010dapek","year":"2017","unstructured":"Hol\u010dapek, M.: A graded approach to cardinal theory of finite fuzzy sets, part I: graded equipollence. Fuzzy Sets Syst. 298, 158\u2013193 (2017)","journal-title":"Fuzzy Sets Syst."},{"key":"58_CR8","unstructured":"Hol\u010dapek, M., Tur\u010dan, M.: Graded equipollence of fuzzy sets. In: Carvalho, J.P., Kaymak, D.U., Sousa, J.M.C. (eds.) Proceedings of IFSA\/EUSFLAT 2009, European Soc Fuzzy logic & Technology, Johannes Kepler univ, Austria, pp. 1565\u20131570 (2009)"},{"key":"58_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5217-8","volume-title":"Mathematical Principles of Fuzzy Logic","author":"V Nov\u00e1k","year":"1999","unstructured":"Nov\u00e1k, V., Perfilieva, I., Mo\u010dko\u0159, J.: Mathematical Principles of Fuzzy Logic. Kluwer Academic Publisher, Boston (1999)"},{"key":"58_CR10","doi-asserted-by":"crossref","unstructured":"Rodabaugh, S.E.: Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics. Int. J. Math. Math. Sci. 2007, 1\u201371 (2007)","DOI":"10.1155\/2007\/43645"},{"key":"58_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01270392","volume":"32","author":"G Takeuti","year":"1992","unstructured":"Takeuti, G., Titani, S.: Fuzzy logic and fuzzy set theory. Arch. Math. Logic 32, 1\u201332 (1992)","journal-title":"Arch. Math. Logic"},{"issue":"16","key":"58_CR12","doi-asserted-by":"publisher","first-page":"2275","DOI":"10.1016\/j.fss.2008.12.001","volume":"160","author":"Q Zhang","year":"2009","unstructured":"Zhang, Q., Xie, W., Fan, L.: Fuzzy complete lattices. Fuzzy Sets Syst. 160(16), 2275\u20132291 (2009)","journal-title":"Fuzzy Sets Syst."}],"container-title":["Communications in Computer and Information Science","Information Processing and Management of Uncertainty in Knowledge-Based Systems. Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-91479-4_58","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T12:59:22Z","timestamp":1710248362000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-91479-4_58"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319914787","9783319914794"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-91479-4_58","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"18 May 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"IPMU","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"C\u00e1diz","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 June 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 June 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"ipmu2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/ipmu2018.uca.es\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}