{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T23:34:00Z","timestamp":1725492840274},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540725749"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-72575-6_62","type":"book-chapter","created":{"date-parts":[[2007,8,7]],"date-time":"2007-08-07T08:52:04Z","timestamp":1186476724000},"page":"387-391","source":"Crossref","is-referenced-by-count":0,"title":["Graded Reasoning in n-Valued \u0141ukasiewicz Propositional Logic"],"prefix":"10.1007","author":[{"given":"Hongjun","family":"Zhou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guojun","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"62_CR1","volume-title":"A Treatise on Many-Valued Logics, Studies in Logic and Computation","author":"S. Gottwald","year":"2001","unstructured":"Gottwald, S.: A Treatise on Many-Valued Logics, Studies in Logic and Computation. Research Studies Press, Baldock (2001)"},{"key":"62_CR2","unstructured":"Gottwald, S., Nov\u00e1k, V.: On the consistency of fuzzy theories. In: Proc. of 7th IFSA World Congress, Academi, Prague, pp. 168\u2013171 (1997)"},{"key":"62_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-011-5300-3","volume-title":"Metamathematics of Fuzzy logic","author":"P. H\u00e1jek","year":"1998","unstructured":"H\u00e1jek, P.: Metamathematics of Fuzzy logic. Kluwer Academic Publishers, Dordrecht (1998)"},{"key":"62_CR4","volume-title":"Masure Theory","author":"P.R. Halmos","year":"1974","unstructured":"Halmos, P.R.: Masure Theory. Springer, New York (1974)"},{"key":"62_CR5","doi-asserted-by":"crossref","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 Publishers, Boston (1999)"},{"key":"62_CR6","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1007\/BF02125899","volume":"15","author":"W.A. Pogorzelski","year":"1964","unstructured":"Pogorzelski, W.A.: The deduction theorem for \u0141ukasiewicz many-valued propositional calculi. Studia Logica\u00a015, 7\u201323 (1964)","journal-title":"Studia Logica"},{"key":"62_CR7","series-title":"Advances in Soft Computing","volume-title":"Mathematics Behind Fuzzy Logic","author":"E. Turunen","year":"1999","unstructured":"Turunen, E.: Mathematics Behind Fuzzy Logic. Advances in Soft Computing. Physica-Verlag, Heidelbery (1999)"},{"key":"62_CR8","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1007\/BF00374052","volume":"47","author":"R. Tuziak","year":"1988","unstructured":"Tuziak, R.: An axiomatization of the finite valued Lukasiewicz Calculus. Studia Logica\u00a047, 49\u201355 (1988)","journal-title":"Studia Logica"},{"issue":"6","key":"62_CR9","first-page":"561","volume":"E 35","author":"G.J. Wang","year":"2005","unstructured":"Wang, G.J., Li, B.J.: Theory of truth degrees of formulas in \u0141ukasiewicz n-valued propositional logic and a limit theorem (in Chinese). Sci. China, Information Science\u00a0E 35(6), 561\u2013569 (2005)","journal-title":"Sci. China, Information Science"},{"key":"62_CR10","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1016\/j.fss.2003.12.001","volume":"149","author":"G.J. Wang","year":"2005","unstructured":"Wang, G.J., Zhang, W.X.: Consistency degrees of finite theories in \u0141ukasiewicz propositional fuzzy logic. Fuzzy Sets and Systems\u00a0149, 275\u2013284 (2005)","journal-title":"Fuzzy Sets and Systems"},{"key":"62_CR11","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1016\/j.fss.2005.07.006","volume":"157","author":"H.J. Zhou","year":"2006","unstructured":"Zhou, H.J., Wang, G.J.: A new theory consistency index based on deduction theorems in several logic systems. Fuzzy Sets and Systems\u00a0157, 427\u2013443 (2006)","journal-title":"Fuzzy Sets and Systems"},{"key":"62_CR12","doi-asserted-by":"publisher","first-page":"2058","DOI":"10.1016\/j.fss.2006.02.007","volume":"157","author":"H.J. Zhou","year":"2006","unstructured":"Zhou, H.J., Wang, G.J.: Generalized consistency degrees of theories w.r.t. formulas in several standard complete logic systems. Fuzzy Sets and Systems\u00a0157, 2058\u20132073 (2006)","journal-title":"Fuzzy Sets and Systems"},{"key":"62_CR13","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1016\/j.ijar.2006.03.001","volume":"43","author":"H.J. Zhou","year":"2006","unstructured":"Zhou, H.J., Wang, G.J., Zhou, W.: Consistency degrees of theories and methods of graded reasoning in n-valued R\n                  0-logic(NM-logic). International Journal of Approximate Reasoning\u00a043, 117\u2013132 (2006)","journal-title":"International Journal of Approximate Reasoning"},{"key":"62_CR14","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1016\/j.fss.2004.11.005","volume":"152","author":"X.N. Zhou","year":"2005","unstructured":"Zhou, X.N., Wang, G.J.: Consistency degrees of theories in some systems of propositional fuzzy logic. Fuzzy Sets and Systems\u00a0152, 321\u2013331 (2005)","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Advances in Soft Computing","Advances in Intelligent Web Mastering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-72575-6_62.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,19]],"date-time":"2020-11-19T05:02:35Z","timestamp":1605762155000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-72575-6_62"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540725749"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-72575-6_62","relation":{},"subject":[]}}