{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:19:31Z","timestamp":1760170771048,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":26,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642317170"},{"type":"electronic","value":"9783642317187"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-31718-7_34","type":"book-chapter","created":{"date-parts":[[2012,7,21]],"date-time":"2012-07-21T00:45:13Z","timestamp":1342831513000},"page":"326-335","source":"Crossref","is-referenced-by-count":7,"title":["Negations Generated by Bounded Lattices t-Norms"],"prefix":"10.1007","author":[{"given":"Benjam\u00edn","family":"Bedregal","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gleb","family":"Beliakov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Humberto","family":"Bustince","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Javier","family":"Fernandez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ana","family":"Pradera","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Renata Hax Sander","family":"Reiser","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"34_CR1","doi-asserted-by":"crossref","unstructured":"Alsina, C., Frank, M.J., Schweizer, B.: Associative Functions: Triangular Norms And Copulas. World Scientific Publishing Company (2006)","DOI":"10.1142\/9789812774200"},{"key":"34_CR2","first-page":"18","volume":"3","author":"C. Alsina","year":"1980","unstructured":"Alsina, C., Trillas, E., Valverde, L.: On non-distributive logical connectives for fuzzy set theory. Busefal\u00a03, 18\u201329 (1980)","journal-title":"Busefal"},{"key":"34_CR3","volume-title":"Fuzzy Implications","author":"M. Baczy\u0144ski","year":"2008","unstructured":"Baczy\u0144ski, M., Jayaram, B.: Fuzzy Implications. Springer, Heidelberg (2008)"},{"issue":"1","key":"34_CR4","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/S0165-0114(98)00259-0","volume":"104","author":"B. Baets De","year":"1999","unstructured":"De Baets, B., Mesiar, R.: Triangular norms on product lattices. Fuzzy Sets and Systems\u00a0104(1), 61\u201375 (1999)","journal-title":"Fuzzy Sets and Systems"},{"key":"34_CR5","doi-asserted-by":"publisher","first-page":"2290","DOI":"10.1016\/j.fss.2010.04.018","volume":"161","author":"B.C. Bedregal","year":"2010","unstructured":"Bedregal, B.C.: On interval fuzzy negations. Fuzzy Sets and Systems\u00a0161, 2290\u20132313 (2010)","journal-title":"Fuzzy Sets and Systems"},{"key":"34_CR6","doi-asserted-by":"crossref","unstructured":"Bedregal, B.C., Santos, H.S., Callejas-Bedregal, R.: T-norms on bounded lattices: t-norm morphisms and operators. In: Proceedings of 2006 IEEE International Conference on Fuzzy Systems, Vancouver, Canada, pp. 22\u201328 (2006)","DOI":"10.1109\/FUZZY.2006.1681689"},{"key":"34_CR7","volume-title":"Lattice Theory","author":"G. Birkhoff","year":"1973","unstructured":"Birkhoff, G.: Lattice Theory. American Mathematical Society, Providence (1973)"},{"key":"34_CR8","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1090\/S0002-9947-1958-0094302-9","volume":"88","author":"C.C. Chang","year":"1958","unstructured":"Chang, C.C.: Algebraic analisys of many valued logics. Trans. of the American Mathematical Society\u00a088, 467\u2013490 (1958)","journal-title":"Trans. of the American Mathematical Society"},{"key":"34_CR9","first-page":"281","volume":"2","author":"G. Cooman De","year":"1994","unstructured":"De Cooman, G., Kerre, E.E.: Order norms on bounded partially ordered sets. Fuzzy Methematics\u00a02, 281\u2013310 (1994)","journal-title":"Fuzzy Methematics"},{"issue":"4","key":"34_CR10","doi-asserted-by":"publisher","first-page":"473","DOI":"10.1016\/j.ijar.2010.11.004","volume":"52","author":"C.G. Costa Da","year":"2010","unstructured":"Da Costa, C.G., Bedregal, B.C., Doria Neto, A.D.: Relating De Morgan triples with Atanassov\u2019s intuitionistic De Morgan triples via automorphisms. Int. J. Approximate Reasoning\u00a052(4), 473\u2013487 (2010)","journal-title":"Int. J. Approximate Reasoning"},{"key":"34_CR11","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511809088","volume-title":"Introduction to Lattices and Order","author":"B.A. Davey","year":"2002","unstructured":"Davey, B.A., Priestley, H.A.: Introduction to Lattices and Order, 2nd edn. Cambridge University Press, Cambridge (2002)","edition":"2"},{"issue":"1","key":"34_CR12","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/0022-247X(67)90189-8","volume":"18","author":"J. Goguen","year":"1967","unstructured":"Goguen, J.: L-fuzzy sets. Journal of Mathematical Analysis and Applications\u00a018(1), 145\u2013174 (1967)","journal-title":"Journal of Mathematical Analysis and Applications"},{"key":"34_CR13","unstructured":"Gr\u00e4tzer, G.: Lattice Theory: First Concepts and Distributive Lattices. Dover Publications (2009)"},{"key":"34_CR14","doi-asserted-by":"crossref","unstructured":"Gr\u00e4tzer, G.: Lattice Theory: Foundation. Birkh\u00e4user (2011)","DOI":"10.1007\/978-3-0348-0018-1"},{"key":"34_CR15","volume-title":"Metamathematics of Fuzzy Logic","author":"P. H\u00e1jek","year":"2001","unstructured":"H\u00e1jek, P.: Metamathematics of Fuzzy Logic. Springer, Heildelberg (2001)"},{"key":"34_CR16","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6101-8","volume-title":"Algebra","author":"T.W. Hungerford","year":"1974","unstructured":"Hungerford, T.W.: Algebra. Springer, New York (1974)"},{"key":"34_CR17","doi-asserted-by":"crossref","unstructured":"Kara\u00e7al, F.: On the directed decomposability of strong negations and S-implications operators on product lattices. Information Sciences\u00a0176(20) (2006)","DOI":"10.1016\/j.ins.2005.12.010"},{"key":"34_CR18","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, Dordrecht (2000)"},{"issue":"12","key":"34_CR19","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1073\/pnas.28.12.535","volume":"28","author":"K. Menger","year":"1942","unstructured":"Menger, K.: Statistical metrics. Proc. Nat. Academic Science\u00a028(12), 535\u2013537 (1942)","journal-title":"Proc. Nat. Academic Science"},{"key":"34_CR20","doi-asserted-by":"crossref","unstructured":"Mesiar, R., Komorn\u00edkov\u00e1, M.: Aggregation Functions on Bounded Posets. In: 35 Years of Fuzzy Sets Theory: Celebratory volume Dedicated to the Retirement of Etiene E. Kerre, pp. 3\u201317. Springer (2010)","DOI":"10.1007\/978-3-642-16629-7_1"},{"key":"34_CR21","volume-title":"A First Course in Fuzzy Logics","author":"H.T. Nguyen","year":"2000","unstructured":"Nguyen, H.T., Walker, E.A.: A First Course in Fuzzy Logics, 2nd edn. CRC Press, Boca Raton (2000)","edition":"2"},{"key":"34_CR22","doi-asserted-by":"publisher","first-page":"1026","DOI":"10.1016\/j.camwa.2011.12.007","volume":"63","author":"E.S. Palmeira","year":"2012","unstructured":"Palmeira, E.S., Bedregal, B.: Extension of fuzzy logic operators defined on bounded lattices via retractions. Computers and Mathematics with Applications\u00a063, 1026\u20131038 (2012)","journal-title":"Computers and Mathematics with Applications"},{"issue":"1","key":"34_CR23","first-page":"143","volume":"9","author":"R.H.S. Reiser","year":"2008","unstructured":"Reiser, R.H.S., Dimuro, G.P., Bedregal, B., Santos, H.S., Callejas-Bedregal, R.: S-implications on complete lattice and the interval constructor. Tend\u00eancias em Matem\u00e1tica Aplicada e Computacional \u2013 TEMA\u00a09(1), 143\u2013154 (2008)","journal-title":"Tend\u00eancias em Matem\u00e1tica Aplicada e Computacional \u2013 TEMA"},{"key":"34_CR24","doi-asserted-by":"crossref","first-page":"69","DOI":"10.5486\/PMD.1963.10.1-4.09","volume":"10","author":"B. Schweizer","year":"1963","unstructured":"Schweizer, B., Sklar, A.: Associative functions and abstract semigroups. Publ. Math. Dedrecen\u00a010, 69\u201381 (1963)","journal-title":"Publ. Math. Dedrecen"},{"issue":"1","key":"34_CR25","first-page":"47","volume":"3","author":"E. Trillas","year":"1979","unstructured":"Trillas, E.: Sobre funciones de negaci\u00f3n en la teoria de los conjuntos difusos. Stochastica\u00a03(1), 47\u201359 (1979)","journal-title":"Stochastica"},{"key":"34_CR26","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"}],"container-title":["Communications in Computer and Information Science","Advances in Computational Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-31718-7_34.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,5]],"date-time":"2025-04-05T04:14:38Z","timestamp":1743826478000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-31718-7_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642317170","9783642317187"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-31718-7_34","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2012]]}}}