{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,17]],"date-time":"2025-04-17T16:09:36Z","timestamp":1744906176899},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642140488"},{"type":"electronic","value":"9783642140495"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-14049-5_42","type":"book-chapter","created":{"date-parts":[[2010,6,29]],"date-time":"2010-06-29T14:44:45Z","timestamp":1277822685000},"page":"408-417","source":"Crossref","is-referenced-by-count":6,"title":["Dual Representable Aggregation Functions and Their Derived S-Implications"],"prefix":"10.1007","author":[{"given":"Isabel","family":"Aguil\u00f3","sequence":"first","affiliation":[]},{"given":"Marc","family":"Carbonell","sequence":"additional","affiliation":[]},{"given":"Jaume","family":"Su\u00f1er","sequence":"additional","affiliation":[]},{"given":"Joan","family":"Torrens","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"42_CR1","doi-asserted-by":"publisher","first-page":"1836","DOI":"10.1016\/j.fss.2007.11.015","volume":"159","author":"M. Baczy\u0144ski","year":"2008","unstructured":"Baczy\u0144ski, M., Jayaram, B.: (S,N)- and R-implications: A state-of-the-art survey. Fuzzy Sets and Systems\u00a0159, 1836\u20131859 (2008)","journal-title":"Fuzzy Sets and Systems"},{"key":"42_CR2","series-title":"Studies in Fuzziness and Soft Computing","volume-title":"Fuzzy Implications","author":"M. Baczy\u0144ski","year":"2008","unstructured":"Baczy\u0144ski, M., Jayaram, B.: Fuzzy Implications. Studies in Fuzziness and Soft Computing, vol.\u00a0231. Springer, Berlin (2008)"},{"key":"42_CR3","doi-asserted-by":"publisher","first-page":"2049","DOI":"10.1016\/j.fss.2008.11.001","volume":"160","author":"M. Baczy\u0144ski","year":"2009","unstructured":"Baczy\u0144ski, M., Jayaram, B.: (U,N)-implications and their characterizations. Fuzzy Sets and Systems\u00a0160, 2049\u20132062 (2009)","journal-title":"Fuzzy Sets and Systems"},{"key":"42_CR4","volume-title":"Aggregation Functions: A Guide for Practicioners","author":"G. Beliakov","year":"2007","unstructured":"Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practicioners. Springer, Berlin (2007)"},{"key":"42_CR5","doi-asserted-by":"publisher","first-page":"3190","DOI":"10.1016\/j.ins.2005.06.006","volume":"176","author":"H. Bustince","year":"2006","unstructured":"Bustince, H., Mohedano, V., Barrenechea, E., Pagola, M.: Definition and construction of fuzzy DI-subsethood measures. Information Sciences\u00a0176, 3190\u20133231 (2006)","journal-title":"Information Sciences"},{"key":"42_CR6","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":"42_CR7","series-title":"Studies in Fuzziness and Soft Computing","volume-title":"Aggregation operators. New trends and applications","year":"2002","unstructured":"Calvo, T., Mayor, G., Mesiar, R. (eds.): Aggregation operators. New trends and applications. Studies in Fuzziness and Soft Computing, vol.\u00a097. Physica-Verlag, Heidelberg (2002)"},{"key":"42_CR8","doi-asserted-by":"crossref","unstructured":"Carbonell, M., Torrens, J.: Continuous R-implications generated from representable aggregation functions. Fuzzy Sets and Systems (to appear)","DOI":"10.1016\/j.fss.2010.02.001"},{"key":"42_CR9","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s005000050057","volume":"3","author":"B. Baets De","year":"1999","unstructured":"De Baets, B., Fodor, J.C.: Residual operators of uninorms. Soft Computing\u00a03, 89\u2013100 (1999)","journal-title":"Soft Computing"},{"key":"42_CR10","doi-asserted-by":"publisher","first-page":"343","DOI":"10.1007\/s00009-007-0122-1","volume":"4","author":"F. Durante","year":"2007","unstructured":"Durante, F., Klement, E.P., Mesiar, R., Sempi, C.: Conjunctors and their residual implicators: Characterizations and construction methods. Mediterranean Journal of Mathematics\u00a04, 343\u2013356 (2007)","journal-title":"Mediterranean Journal of Mathematics"},{"key":"42_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-017-1648-2","volume-title":"Fuzzy preference modelling and multicriteria decision support","author":"J. Fodor","year":"1994","unstructured":"Fodor, J., Roubens, M.: Fuzzy preference modelling and multicriteria decision support. Kluwer Academic Publishers, Dordrecht (1994)"},{"key":"42_CR12","volume-title":"Advances in Computacional Vision and Medical Image Processing","author":"M. Gonz\u00e1lez","year":"2009","unstructured":"Gonz\u00e1lez, M., Mir, A., Ruiz-Aguilera, D., Torrens, J.: Edge-Images using a Uninorm-Based Fuzzy Mathematical Morphology. Opening and Closing. In: Tavares, J., Jorge, N. (eds.) Advances in Computacional Vision and Medical Image Processing, Springer, Heidelberg (2009)"},{"key":"42_CR13","volume-title":"A Treatise on Many-Valued Logic","author":"S. Gottwald","year":"2001","unstructured":"Gottwald, S.: A Treatise on Many-Valued Logic. Research Studies Press, Baldock (2001)"},{"key":"42_CR14","series-title":"Encyclopedia of Mathematics and its Applications","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139644150","volume-title":"Aggregation functions.","author":"M. Grabisch","year":"2009","unstructured":"Grabisch, M., Marichal, J.L., Mesiar, R., Pap, E.: Aggregation functions. Encyclopedia of Mathematics and its Applications, vol.\u00a0127. Cambridge University Press, Cambridge (2009)"},{"key":"42_CR15","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, London (2000)"},{"key":"42_CR16","volume-title":"Theory and Applications","author":"G.J. Klir","year":"1995","unstructured":"Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic. In: Theory and Applications, Prentice Hall, New Jersey (1995)"},{"key":"42_CR17","doi-asserted-by":"publisher","first-page":"2612","DOI":"10.1016\/j.fss.2007.05.007","volume":"158","author":"M. Mas","year":"2007","unstructured":"Mas, M., Monserrat, M., Torrens, J.: Two types of implications derived from uninorms. Fuzzy Sets and Systems\u00a0158, 2612\u20132626 (2007)","journal-title":"Fuzzy Sets and Systems"},{"issue":"6","key":"42_CR18","doi-asserted-by":"publisher","first-page":"1107","DOI":"10.1109\/TFUZZ.2007.896304","volume":"15","author":"M. Mas","year":"2008","unstructured":"Mas, M., Monserrat, M., Torrens, J., Trillas, E.: A survey on fuzzy implication functions. IEEE Transactions on Fuzzy Systems\u00a015(6), 1107\u20131121 (2008)","journal-title":"IEEE Transactions on Fuzzy Systems"},{"key":"42_CR19","first-page":"54","volume-title":"Proceedings of ISMVL \u201988","author":"G. Mayor","year":"1988","unstructured":"Mayor, G., Torrens, J.: On a class of binary operations: Non-strict Archimedean aggregation functions. In: Proceedings of ISMVL \u201988, pp. 54\u201359. Palma de Mallorca, Spain (1988)"},{"key":"42_CR20","first-page":"21","volume":"40","author":"D. Ruiz","year":"2004","unstructured":"Ruiz, D., Torrens, J.: Residual implications and co-implications from idempotent uninorms. Kybernetika\u00a040, 21\u201338 (2004)","journal-title":"Kybernetika"},{"key":"42_CR21","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/j.fss.2006.08.008","volume":"158","author":"D. Ruiz-Aguilera","year":"2007","unstructured":"Ruiz-Aguilera, D., Torrens, J.: Distributivity of residual implications over conjunctive and disjunctive uninorms. Fuzzy Sets and Systems\u00a0158, 23\u201337 (2007)","journal-title":"Fuzzy Sets and Systems"},{"key":"42_CR22","doi-asserted-by":"publisher","first-page":"832","DOI":"10.1016\/j.fss.2008.05.015","volume":"160","author":"D. Ruiz-Aguilera","year":"2009","unstructured":"Ruiz-Aguilera, D., Torrens, J.: S- and R-implications from uninorms continuous in ]0,1[2 and their distributivity over uninorms. Fuzzy Sets and Systems\u00a0160, 832\u2013852 (2009)","journal-title":"Fuzzy Sets and Systems"},{"key":"42_CR23","volume-title":"Cognitive Technologies","author":"V. Torra","year":"2007","unstructured":"Torra, V., Narukawa, Y.: Modeling decisiona. Information fusion and aggregation operators. In: Cognitive Technologies. Springer, Heidelberg (2007)"}],"container-title":["Lecture Notes in Computer Science","Computational Intelligence for Knowledge-Based Systems Design"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-14049-5_42.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,30]],"date-time":"2021-04-30T12:17:07Z","timestamp":1619785027000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-14049-5_42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642140488","9783642140495"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-14049-5_42","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}