{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T20:07:55Z","timestamp":1742933275863,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":30,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642166280"},{"type":"electronic","value":"9783642166297"}],"license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-16629-7_5","type":"book-chapter","created":{"date-parts":[[2010,10,13]],"date-time":"2010-10-13T12:07:30Z","timestamp":1286971650000},"page":"83-103","source":"Crossref","is-referenced-by-count":1,"title":["Implications in Fuzzy Logic: Properties and a New Class"],"prefix":"10.1007","author":[{"given":"Yun","family":"Shi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bart","family":"Van Gasse","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Da","family":"Ruan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5_CR1","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/S0165-0114(03)00245-8","volume":"145","author":"M. Baczy\u0144ski","year":"2004","unstructured":"Baczy\u0144ski, M.: Residual implications revisited. Notes on the Smets-Magrez Theorem. Fuzzy Sets and Systems\u00a0145, 267\u2013277 (2004)","journal-title":"Notes on the Smets-Magrez Theorem. Fuzzy Sets and Systems"},{"key":"5_CR2","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1007\/978-3-7908-1859-8_5","volume-title":"Fuzzy Systems in Medicine","author":"M. Baczy\u0144ski","year":"2000","unstructured":"Baczy\u0144ski, M., Drewniak, J.: Monotonic fuzzy implications. In: Szczepaniak, P.S., Lisboa, P.J.G., Kacprzyk, J. (eds.) Fuzzy Systems in Medicine, pp. 90\u2013111. Physica, Heidelberg (2000)"},{"key":"5_CR3","volume-title":"Fuzzy Implications","author":"M. Baczy\u0144ski","year":"2008","unstructured":"Baczy\u0144ski, M., Jayaram, B.: Fuzzy Implications. Springer, Heidelberg (2008)"},{"key":"5_CR4","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/S0165-0114(02)00214-2","volume":"134","author":"H. Bustince","year":"2003","unstructured":"Bustince, H., Burillo, P., Soria, F.: Automorphisms, negations and implication operators. Fuzzy Sets and Systems\u00a0134, 209\u2013229 (2003)","journal-title":"Fuzzy Sets and Systems"},{"key":"5_CR5","doi-asserted-by":"publisher","first-page":"906","DOI":"10.1016\/j.ins.2006.07.021","volume":"177","author":"H. Bustince","year":"2007","unstructured":"Bustince, H., Pagola, M., Barrenechea, E.: Construction of fuzzy indices from fuzzy DI-subsethood measures: Application to the global comparison of images. Information Sciences\u00a0177, 906\u2013929 (2007)","journal-title":"Information Sciences"},{"key":"5_CR6","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1007\/s00500-005-0526-4","volume":"10","author":"J. Drewniak","year":"2006","unstructured":"Drewniak, J.: Invariant fuzzy implications. Soft Computing\u00a010, 506\u2013513 (2006)","journal-title":"Soft Computing"},{"key":"5_CR7","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/0165-0114(91)90108-3","volume":"42","author":"J.C. Fodor","year":"1991","unstructured":"Fodor, J.C.: On fuzzy implication operators. Fuzzy Sets and Systems\u00a042, 293\u2013300 (1991)","journal-title":"Fuzzy Sets and Systems"},{"key":"5_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1648-2","volume-title":"Fuzzy Preference Modelling and Multicriteria Decision Support","author":"J.C. Fodor","year":"1994","unstructured":"Fodor, J.C., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer Academic Publishers, Dordrecht (1994)"},{"key":"5_CR9","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/0165-0114(94)00210-X","volume":"69","author":"J.C. Fodor","year":"1995","unstructured":"Fodor, J.C.: Contrapositive symmetry of fuzzy implications. Fuzzy Sets and Systems\u00a069, 141\u2013156 (1995)","journal-title":"Fuzzy Sets and Systems"},{"key":"5_CR10","doi-asserted-by":"publisher","first-page":"156","DOI":"10.1016\/j.ijar.2007.07.009","volume":"48","author":"B. Jayaram","year":"2008","unstructured":"Jayaram, B.: Rule reduction for efficient inferencing in similarity based reasoning. International Journal of Approximate Reasoning\u00a048, 156\u2013173 (2008)","journal-title":"International Journal of Approximate Reasoning"},{"key":"5_CR11","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/0165-0114(89)90136-X","volume":"29","author":"E.E. Kerre","year":"1989","unstructured":"Kerre, E.E.: A call for crispness in fuzzy set theory. Fuzzy Sets and Systems\u00a029, 57\u201365 (1989)","journal-title":"Fuzzy Sets and Systems"},{"key":"5_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-7908-1847-5","volume-title":"Fuzzy Techniques in Image Processing","author":"E.E. Kerre","year":"2000","unstructured":"Kerre, E.E., Nachtegael, M.: Fuzzy Techniques in Image Processing. Physica-Verlag, New York (2000)"},{"key":"5_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9540-7","volume-title":"Triangular Norms","author":"E.P. Klement","year":"2000","unstructured":"Klement, E.P., Mesiar, R., Pap, E.: Triangular Norms. Kluwer Academic Publishers, Netherlands (2000)"},{"key":"5_CR14","volume-title":"Fuzzy Sets and Fuzzy Logic, Theory and Applications","author":"J. Klir","year":"1995","unstructured":"Klir, J., Yuan, B.: Fuzzy Sets and Fuzzy Logic, Theory and Applications. Prentice Hall, New Jersey (1995)"},{"key":"5_CR15","first-page":"956","volume":"42","author":"M. Mas","year":"2006","unstructured":"Mas, M., Monserrat, M., Torrens, J.: QL-implications versus D-implications. Kybernetika\u00a042, 956\u2013966 (2006)","journal-title":"Kybernetika"},{"issue":"6","key":"5_CR16","doi-asserted-by":"publisher","first-page":"1107","DOI":"10.1109\/TFUZZ.2007.896304","volume":"15","author":"M. Mas","year":"2007","unstructured":"Mas, M., Monserrat, M., Torrens, J., Trillas, E.: A survey on fuzzy implication functions. IEEE Transactions on Fuzzy Systems\u00a015(6), 1107\u20131121 (2007)","journal-title":"IEEE Transactions on Fuzzy Systems"},{"unstructured":"Nachtegael, M., Heijmans, H., Van der Weken, D., Kerre, E.: Fuzzy Adjunctions in Mathematical Morphology. In: Proc. of JCIS 2003, North Carolina, USA, pp. 202\u2013205 (September 2003)","key":"5_CR17"},{"key":"5_CR18","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., Mockor, J.: Mathematical Principles of Fuzzy Logic. Kluwer Academic Publishers, Boston (1999)"},{"key":"5_CR19","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1016\/S0165-0114(02)00053-2","volume":"131","author":"D. Pei","year":"2002","unstructured":"Pei, D.: R\n                           0 implication: characteristics and applications. Fuzzy Sets and Systems\u00a0131, 297\u2013302 (2002)","journal-title":"Fuzzy Sets and Systems"},{"key":"5_CR20","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/0165-0114(93)90357-N","volume":"54","author":"D. Ruan","year":"1993","unstructured":"Ruan, D., Kerre, E.E.: Fuzzy implication operators and generalized fuzzy method of cases. Fuzzy Sets and Systems\u00a054, 23\u201337 (1993)","journal-title":"Fuzzy Sets and Systems"},{"key":"5_CR21","volume-title":"Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications","author":"D. Ruan","year":"1995","unstructured":"Ruan, D., Kerre, E.E.: Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications. Kluwer Academic Publishers, Boston (1995)"},{"key":"5_CR22","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-4513-2","volume-title":"Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications","author":"D. Ruan","year":"2000","unstructured":"Ruan, D., Kerre, E.: Fuzzy IF-THEN Rules in Computational Intelligence: Theory and Applications. Kluwer Academic Publishers, Boston (2000)"},{"key":"5_CR23","doi-asserted-by":"publisher","first-page":"1388","DOI":"10.1016\/j.fss.2009.12.003","volume":"161","author":"Y. Shi","year":"2010","unstructured":"Shi, Y., Van Gasse, B., Ruan, D., Kerre, E.E.: Interrelationships among Fuzzy Implication Axioms: Dependence versus Independence. Fuzzy Sets and Systems\u00a0161, 1388\u20131405 (2010)","journal-title":"Fuzzy Sets and Systems"},{"issue":"1","key":"5_CR24","first-page":"47","volume":"3","author":"E. Trillas","year":"1979","unstructured":"Trillas, E.: Sobre funciones de negaci\u00f3n en la teor\u00eda de conjuntos difusos. Stochastica\u00a03(1), 47\u201360 (1979)","journal-title":"Stochastica"},{"key":"5_CR25","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1002\/int.20068","volume":"20","author":"E. Trillas","year":"2005","unstructured":"Trillas, E., Alsina, C., Renedo, E., Pradera, A.: On contra-symmetry and MPT conditionality in fuzzy logic. International Journal of Intelligent Systems\u00a020, 313\u2013326 (2005)","journal-title":"International Journal of Intelligent Systems"},{"key":"5_CR26","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.ins.2003.04.001","volume":"167","author":"R.R. Yager","year":"2004","unstructured":"Yager, R.R.: On some new classes of implication operators and their role in approximate reasoning. Information Sciences\u00a0167, 193\u2013216 (2004)","journal-title":"Information Sciences"},{"key":"5_CR27","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1016\/j.ins.2005.03.003","volume":"173","author":"P. Yan","year":"2005","unstructured":"Yan, P., Chen, G.: Discovering a cover set of ARsi with hierarchy from quantitative databases. Information Sciences\u00a0173, 319\u2013336 (2005)","journal-title":"Information Sciences"},{"key":"5_CR28","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"L.A. Zadeh","year":"1965","unstructured":"Zadeh, L.A.: Fuzzy sets. Information and Control\u00a08, 338\u2013353 (1965)","journal-title":"Information and Control"},{"key":"5_CR29","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1007\/BF00485052","volume":"30","author":"L.A. Zadeh","year":"1975","unstructured":"Zadeh, L.A.: Fuzzy logic and approximate reasoning. Synthese\u00a030, 407\u2013428 (1975)","journal-title":"Synthese"},{"key":"5_CR30","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/j.fss.2008.06.002","volume":"160","author":"H.Y. Zhang","year":"2009","unstructured":"Zhang, H.Y., Zhang, W.X.: Hybrid monotonic inclusion measure and its use in measuring similarity and distance between fuzzy sets. Fuzzy Sets and Systems\u00a0160, 107\u2013118 (2009)","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Studies in Fuzziness and Soft Computing","35 Years of Fuzzy Set Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-16629-7_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T19:59:43Z","timestamp":1675195183000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-642-16629-7_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642166280","9783642166297"],"references-count":30,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-16629-7_5","relation":{},"ISSN":["1434-9922","1860-0808"],"issn-type":[{"type":"print","value":"1434-9922"},{"type":"electronic","value":"1860-0808"}],"subject":[],"published":{"date-parts":[[2010]]}}}