{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,8]],"date-time":"2024-09-08T19:09:03Z","timestamp":1725822543550},"publisher-location":"Berlin, Heidelberg","reference-count":65,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783662435045"},{"type":"electronic","value":"9783662435052"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-662-43505-2_10","type":"book-chapter","created":{"date-parts":[[2015,5,28]],"date-time":"2015-05-28T20:47:54Z","timestamp":1432846074000},"page":"159-170","source":"Crossref","is-referenced-by-count":1,"title":["Basics of Fuzzy Sets"],"prefix":"10.1007","author":[{"given":"J\u00e1nos C.","family":"Fodor","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Imre J.","family":"Rudas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"10_CR1","doi-asserted-by":"publisher","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"L. Zadeh","year":"1965","unstructured":"L. Zadeh: Fuzzy sets, Inf. Control 8, 338\u2013353 (1965)","journal-title":"Inf. Control"},{"key":"10_CR2","series-title":"Collected Papers of Charles Sanders Peirce","volume-title":"Principles of Philosophy","year":"1931","unstructured":"C. Hartshorne, P. Weiss (Eds.): Principles of Philosophy, Collected Papers of Charles Sanders Peirce (Harvard University Press, Cambridge 1931)"},{"key":"10_CR3","first-page":"84","volume":"1","author":"B. Russell","year":"1923","unstructured":"B. Russell: Vagueness, Austr. J. Philos. 1, 84\u201392 (1923)","journal-title":"Austr. J. Philos."},{"key":"10_CR4","series-title":"Studies in Logic and the Foundations of Mathematics","first-page":"153","volume-title":"Selected Works","author":"J. \u0141ukasiewicz","year":"1970","unstructured":"J. \u0141ukasiewicz: Philosophical remarks on many-valued systems of propositional logic. In: Selected Works, Studies in Logic and the Foundations of Mathematics, ed. by L. Borkowski (North-Holland, Amsterdam 1970) pp. 153\u2013179"},{"key":"10_CR5","doi-asserted-by":"publisher","first-page":"427","DOI":"10.1086\/286476","volume":"4","author":"M. Black","year":"1937","unstructured":"M. Black: Vagueness, Philos. Sci. 4, 427\u2013455 (1937)","journal-title":"Philos. Sci."},{"key":"10_CR6","first-page":"278","volume-title":"Philosophical Essays in Memory of Edmund Husserl","author":"H. Weyl","year":"1940","unstructured":"H. Weyl: The ghost of modality. In: Philosophical Essays in Memory of Edmund Husserl, ed. by M. Farber (Cambridge, Cambridge 1940) pp. 278\u2013303"},{"key":"10_CR7","first-page":"165","volume":"III","author":"A. Kaplan","year":"1951","unstructured":"A. Kaplan, H.F. Schott: A calculus for empirical classes, Methods III, 165\u2013188 (1951)","journal-title":"Methods"},{"key":"10_CR8","first-page":"2001","volume":"232","author":"K. Menger","year":"1951","unstructured":"K. Menger: Ensembles flous et fonctions aleatoires, C. R. Acad. Sci. Paris 232, 2001\u20132003 (1951)","journal-title":"C. R. Acad. Sci. Paris"},{"key":"10_CR9","volume-title":"Probabilistic Metric Spaces","author":"B. Schweizer","year":"1983","unstructured":"B. Schweizer, A. Sklar: Probabilistic Metric Spaces (North-Holland, Amsterdam 1983)"},{"key":"10_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9540-7","volume-title":"Triangular Norms","author":"E.P. Klement","year":"2000","unstructured":"E.P. Klement, R. Mesiar, E. Pap: Triangular Norms (Kluwer, Dordrecht 2000)"},{"key":"10_CR11","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-4429-6","volume-title":"Fundamentals of Fuzzy Sets","author":"D. Dubois","year":"2000","unstructured":"D. Dubois, W. Ostasiewicz, H. Prade: Fuzzy sets: History and basic notions. In: Fundamentals of Fuzzy Sets, (Kluwer, Dordrecht 2000), Chap. 1, p. 21\u2013124"},{"key":"10_CR12","first-page":"89","volume-title":"Fuzzy Automata and Decision Processes","author":"M. Sugeno","year":"1977","unstructured":"M. Sugeno: Fuzzy measures and fuzzy initegrals: A survey. In: Fuzzy Automata and Decision Processes, ed. by G.N. Saridis, M.M. Gupta, B.R. Gaines (North-Holland, Amsterdam 1977) pp. 89\u2013102"},{"key":"10_CR13","first-page":"47","volume":"III","author":"E. Trillas","year":"1979","unstructured":"E. Trillas: Sobre funciones de negaci\u00f3n en la teor\u00ed a de conjuntos difusos, Stochastica III, 47\u201360 (1979)","journal-title":"Stochastica"},{"key":"10_CR14","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1073\/pnas.28.12.535","volume":"28","author":"K. Menger","year":"1942","unstructured":"K. Menger: Statistical metric spaces, Proc. Natl. Acad. Sci. USA 28, 535\u2013537 (1942)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"10_CR15","doi-asserted-by":"publisher","DOI":"10.1142\/6036","volume-title":"Associative Functions: Triangular Norms and Copulas","author":"C. Alsina","year":"2006","unstructured":"C. Alsina, M.J. Frank, B. Schweizer: Associative Functions: Triangular Norms and Copulas (Word Scientific, Hoboken 2006)"},{"key":"10_CR16","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/0020-0255(82)90026-3","volume":"27","author":"E.P. Klement","year":"1982","unstructured":"E.P. Klement: Operations on fuzzy sets \u2013 An axiomatix approach, Inf. Sci. 27, 221\u2013232 (1982)","journal-title":"Inf. Sci."},{"key":"10_CR17","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/0165-0114(94)00210-X","volume":"69","author":"J.C. Fodor","year":"1995","unstructured":"J.C. Fodor: Contrapositive symmetry of fuzzy implications, Fuzzy Sets Syst. 69, 141\u2013156 (1995)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR18","volume-title":"Boolean Algebras","author":"R. Sikorski","year":"1964","unstructured":"R. Sikorski: Boolean Algebras (Springer, Berlin 1964)"},{"key":"10_CR19","doi-asserted-by":"crossref","first-page":"189","DOI":"10.5486\/PMD.1965.12.1-4.19","volume":"12","author":"C.H. Ling","year":"1965","unstructured":"C.H. Ling: Representation of associative functions, Publ. Math. Debr. 12, 189\u2013212 (1965)","journal-title":"Publ. Math. Debr."},{"key":"10_CR20","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1515\/crll.1826.1.11","volume":"1","author":"N.H. Abel","year":"1826","unstructured":"N.H. Abel: Untersuchung der Fuctionen zweier unabh\u00e4ngig ver\u00e4nderlichen Gr\u00f6ssen x und y wie $f(x,y)$, welche die Eigenschaft haben, dass $f(z,f(x,y))$ eine symmetrische Function von x, y und z ist, J. Reine Angew. Math. 1, 11\u201315 (1826)","journal-title":"J. Reine Angew. Math."},{"key":"10_CR21","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1090\/S0002-9939-1955-0071712-X","volume":"6","author":"W.M. Faucett","year":"1955","unstructured":"W.M. Faucett: Compact semigroups irreducibly connected between two idempotents, Proc. Am. Math. Soc. 6, 741\u2013747 (1955)","journal-title":"Proc. Am. Math. Soc."},{"key":"10_CR22","doi-asserted-by":"publisher","first-page":"117","DOI":"10.2307\/1969668","volume":"65","author":"P.S. Mostert","year":"1957","unstructured":"P.S. Mostert, A.L. Shields: On the structure of semigroups on a compact manifold with boundary, Annu. Math. 65, 117\u2013143 (1957)","journal-title":"Annu. Math."},{"key":"10_CR23","series-title":"Technical Report","volume-title":"Topological Semigroups","author":"A.B. Paalman-de Mirinda","year":"1964","unstructured":"A.B. Paalman-de Mirinda: Topological Semigroups, Technical Report (Mathematisch Centrum, Amsterdam 1964)"},{"key":"10_CR24","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1007\/BF02568036","volume":"54","author":"J. Acz\u00e9l","year":"1948","unstructured":"J. Acz\u00e9l: \u00dcber eine Klasse von Funktionalgleichungen, Comment. Math. Helv. 54, 247\u2013256 (1948)","journal-title":"Comment. Math. Helv."},{"key":"10_CR25","first-page":"59","volume":"76","author":"J. Acz\u00e9l","year":"1949","unstructured":"J. Acz\u00e9l: Sur les op\u00e9rations d\u00e9finies pour des nombres r\u00e9els, Bull. Soc. Math. Fr. 76, 59\u201364 (1949)","journal-title":"Bull. Soc. Math. Fr."},{"key":"10_CR26","volume-title":"Lectures on Functional Equations and their Applications","author":"J. Acz\u00e9l","year":"1966","unstructured":"J. Acz\u00e9l: Lectures on Functional Equations and their Applications (Academic, New York 1966)"},{"key":"10_CR27","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1016\/0165-0114(92)90296-G","volume":"47","author":"S. Ovchinnikov","year":"1992","unstructured":"S. Ovchinnikov, M. Roubens: On fuzzy strict preference, indifference and incomparability relations, Fuzzy Sets Syst. 47, 313\u2013318 (1992)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR28","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1016\/0165-0114(91)90258-R","volume":"43","author":"S. Ovchinnikov","year":"1991","unstructured":"S. Ovchinnikov, M. Roubens: On strict preference relations, Fuzzy Sets Syst. 43, 319\u2013326 (1991)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR29","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-1648-2","volume-title":"Fuzzy Preference Modelling and Multicriteria Decision Support","author":"J. Fodor","year":"1994","unstructured":"J. Fodor, M. Roubens: Fuzzy Preference Modelling and Multicriteria Decision Support (Kluwer, Dordrecht 1994)"},{"key":"10_CR30","doi-asserted-by":"publisher","first-page":"194","DOI":"10.1007\/BF02189866","volume":"19","author":"M.J. Frank","year":"1979","unstructured":"M.J. Frank: On the simultaneous associativity of $F(x,y)$ and $x+y-F(x,y)$, Aeq. Math. 19, 194\u2013226 (1979)","journal-title":"Aeq. Math."},{"key":"10_CR31","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1016\/0165-0114(95)00407-6","volume":"86","author":"E.P. Klement","year":"1997","unstructured":"E.P. Klement, R. Mesiar, E. Pap: A characterization of the ordering of continuous t-norms, Fuzzy Sets Syst. 86, 189\u2013195 (1997)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR32","volume-title":"\u00dcber logische Aggrationen nichtbin\u00e4r explizierter Entscheidungskriterien; Ein axiomatischer Beitrag zur normativen Entscheidungstheorie","author":"H. Hamacher","year":"1978","unstructured":"H. Hamacher: \u00dcber logische Aggrationen nichtbin\u00e4r explizierter Entscheidungskriterien; Ein axiomatischer Beitrag zur normativen Entscheidungstheorie (Fischer, Frankfurt 1978)"},{"key":"10_CR33","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/0165-0114(94)90246-1","volume":"65","author":"J.C. Fodor","year":"1994","unstructured":"J.C. Fodor, T. Keresztfalvi: Characterization of the Hamacher family of t-norms, Fuzzy Sets Syst. 65, 51\u201358 (1994)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR34","volume-title":"Fuzzy Implications","author":"M. Baczy\u0144ski","year":"2008","unstructured":"M. Baczy\u0144ski, B. Jayaram: Fuzzy Implications (Springer, Berlin 2008)"},{"key":"10_CR35","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/0888-613X(87)90023-5","volume":"1","author":"P. Smets","year":"1987","unstructured":"P. Smets, P. Magrez: Implication in fuzzy logic, Int. J. Approx. Reason. 1, 327\u2013347 (1987)","journal-title":"Int. J. Approx. Reason."},{"key":"10_CR36","first-page":"173","volume-title":"Proc. 3rd Int. Seminar on Fuzzy Set Theory","author":"E. Trillas","year":"1981","unstructured":"E. Trillas, L. Valverde: On some functionally expressable implications for fuzzy set theory, Proc. 3rd Int. Seminar on Fuzzy Set Theory (Johannes Kepler Universit\u00e4t, Linz 1981) pp. 173\u2013190"},{"key":"10_CR37","doi-asserted-by":"publisher","first-page":"623","DOI":"10.1016\/S0020-7373(76)80027-2","volume":"8","author":"B.R. Gaines","year":"1976","unstructured":"B.R. Gaines: Foundations of fuzzy reasoning, Int. J. Man-Mach. Stud. 8, 623\u2013668 (1976)","journal-title":"Int. J. Man-Mach. Stud."},{"key":"10_CR38","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1016\/S0020-7373(80)80046-0","volume":"13","author":"R.R. Yager","year":"1980","unstructured":"R.R. Yager: An approach to inference in approximate reasoning, Int. J. Man-Mach. Stud. 13, 323\u2013338 (1980)","journal-title":"Int. J. Man-Mach. Stud."},{"key":"10_CR39","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/0165-0114(80)90060-3","volume":"4","author":"W. Bandler","year":"1980","unstructured":"W. Bandler, L.J. Kohout: Fuzzy power sets and fuzzy implication operators, Fuzzy Sets Syst. 4, 13\u201330 (1980)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR40","first-page":"198","volume-title":"Management Decision Support Systems using Fuzzy Sets and Possibility Theory","author":"E. Trillas","year":"1985","unstructured":"E. Trillas, L. Valverde: On implication and indistinguishability in the setting of fuzzy logic. In: Management Decision Support Systems using Fuzzy Sets and Possibility Theory, ed. by J. Kacprzyk, R.R. Yager (Verlag T\u00dcV Rheinland, K\u00f6ln 1985) pp. 198\u2013212"},{"key":"10_CR41","series-title":"Ph.D. Thesis","volume-title":"Mod\u00e8les math\u00e9matiques de l'impr\u00e9cis et de l'incertain en vue d'applications au raisonnement naturel","author":"H. Prade","year":"1982","unstructured":"H. Prade: Mod\u00e8les math\u00e9matiques de l'impr\u00e9cis et de l'incertain en vue d'applications au raisonnement naturel, Ph.D. Thesis (Universit\u00e9 P. Sabatier, Toulouse 1982)"},{"key":"10_CR42","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/S0165-0114(83)80073-6","volume":"11","author":"S. Weber","year":"1983","unstructured":"S. Weber: A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms, Fuzzy Sets Syst. 11, 115\u2013134 (1983)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR43","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1080\/01969728408927749","volume":"15","author":"D. Dubois","year":"1984","unstructured":"D. Dubois, H. Prade: Fuzzy logics and the generalized modus ponens revisited, Int. J. Cybern. Syst. 15, 293\u2013331 (1984)","journal-title":"Int. J. Cybern. Syst."},{"key":"10_CR44","first-page":"129","volume":"13","author":"D. Dubois","year":"1984","unstructured":"D. Dubois, H. Prade: Fuzzy set-theoretic differences and inclusions and their use in the analysis of fuzzy equations, Control Cybern. 13, 129\u2013145 (1984)","journal-title":"Control Cybern."},{"key":"10_CR45","series-title":"Collected Publications","volume-title":"Lattice Theory","author":"G. Birkhoff","year":"1967","unstructured":"G. Birkhoff: Lattice Theory, Collected Publications, Vol. 25 (Am. Math. Soc., Providence 1967)"},{"key":"10_CR46","series-title":"Schriften der Johannes-Kepler-Universit\u00e4t Linz","volume-title":"A Similarity-Based Generalization of Fuzzy Orderings","author":"U. Bodenhofer","year":"1999","unstructured":"U. Bodenhofer: A Similarity-Based Generalization of Fuzzy Orderings, Schriften der Johannes-Kepler-Universit\u00e4t Linz, Vol. 26 (Universit\u00e4tsverlag Rudolf Trauner, Linz 1999)"},{"key":"10_CR47","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/0165-0114(91)90050-Z","volume":"40","author":"D. Dubois","year":"1991","unstructured":"D. Dubois, H. Prade: Fuzzy sets in approximate reasoning, part 1: Inference with possibility distributions, Fuzzy Sets Syst. 40, 143\u2013202 (1991)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR48","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/0165-0114(95)00133-6","volume":"80","author":"R.R. Yager","year":"1996","unstructured":"R.R. Yager, A. Rybalov: Uninorm aggregation operators, Fuzzy Sets Sys. 80, 111\u2013120 (1996)","journal-title":"Fuzzy Sets Sys."},{"issue":"4","key":"10_CR49","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1142\/S0218488597000312","volume":"5","author":"J.C. Fodor","year":"1997","unstructured":"J.C. Fodor, R.R. Yager, A. Rybalov: Structure of uninorms, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 5(4), 411\u2013427 (1997)","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"10_CR50","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1016\/S0165-0114(99)00125-6","volume":"120","author":"T. Calvo","year":"2001","unstructured":"T. Calvo, B. De Baets, J. Fodor: The functional equations of frank and alsina for uninorms and nullnorms, Fuzzy Sets Syst. 120, 385\u2013394 (2001)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR51","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1007\/s005000050057","volume":"3","author":"B. Baets De","year":"1999","unstructured":"B. De Baets, J. Fodor: Residual operators of uninorms, Soft Comput. 3, 89\u2013100 (1999)","journal-title":"Soft Comput."},{"key":"10_CR52","doi-asserted-by":"publisher","first-page":"909","DOI":"10.1002\/(SICI)1098-111X(199909)14:9<909::AID-INT4>3.0.CO;2-B","volume":"14","author":"M. Mas","year":"1999","unstructured":"M. Mas, G. Mayor, J. Torrens: T-operators and uninorms on a finite totally ordered set, Int. J. Intell. Syst. 14, 909\u2013922 (1999)","journal-title":"Int. J. Intell. Syst."},{"key":"10_CR53","doi-asserted-by":"publisher","first-page":"491","DOI":"10.1142\/S0218488501000909","volume":"9","author":"M. Mas","year":"2001","unstructured":"M. Mas, M. Monserrat, J. Torrens: On left and right uninorms, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 9, 491\u2013507 (2001)","journal-title":"Int. J. Uncertain. Fuzziness Knowl.-Based Syst."},{"key":"10_CR54","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1016\/S0165-0114(01)00055-0","volume":"126","author":"M. Mas","year":"2002","unstructured":"M. Mas, G. Mayor, J. Torrens: The modularity condition for uninorms and t-operators, Fuzzy Sets Syst. 126, 207\u2013218 (2002)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR55","doi-asserted-by":"publisher","first-page":"631","DOI":"10.1016\/S0377-2217(98)00325-7","volume":"118","author":"B. Baets De","year":"1999","unstructured":"B. De Baets: Idempotent uninorms, Eur. J. Oper. Res. 118, 631\u2013642 (1999)","journal-title":"Eur. J. Oper. Res."},{"key":"10_CR56","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.fss.2011.12.001","volume":"202","author":"J. Fodor","year":"2012","unstructured":"J. Fodor, B. De Baets: A single-point characterization of representable uninorms, Fuzzy Sets Syst. 202, 89\u201399 (2012)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR57","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/S0165-0114(98)00265-6","volume":"104","author":"B. Baets De","year":"1999","unstructured":"B. De Baets, J.C. Fodor: Van melle?s combining function in mycin is a representable uninorm: An alternative proof, Fuzzy Sets Syst. 104, 133\u2013136 (1999)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR58","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.fss.2012.12.005","volume":"224","author":"B. Jayaram","year":"2013","unstructured":"B. Jayaram, M. Baczy\u0144ski, R. Mesiar: R-implications and the exchange principle: The case of border continuous t-norms, Fuzzy Sets Syst. 224, 93\u2013105 (2013)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR59","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.fss.2012.07.001","volume":"211","author":"M. Baczy\u0144ski","year":"2013","unstructured":"M. Baczy\u0144ski: On two distributivity equations for fuzzy implications and continuous, archimedean t-norms and t-conorms, Fuzzy Sets Syst. 211, 34\u201354 (2013)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR60","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1016\/j.ijar.2012.10.001","volume":"54","author":"M. Baczy\u0144ski","year":"2013","unstructured":"M. Baczy\u0144ski, F. Qin: Some remarks on the distributive equation of fuzzy implication and the contrapositive symmetry for continuous, archimedean t-norms, Int. J. Approx. Reason. 54, 290\u2013296 (2013)","journal-title":"Int. J. Approx. Reason."},{"key":"10_CR61","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1016\/j.fss.2010.12.012","volume":"168","author":"S. Massanet","year":"2011","unstructured":"S. Massanet, J. Torrens: The law of importation versus the exchange principle on fuzzy implications, Fuzzy Sets Syst. 168, 47\u201369 (2011)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR62","doi-asserted-by":"publisher","first-page":"2111","DOI":"10.1016\/j.ins.2011.01.030","volume":"181","author":"S. Massanet","year":"2011","unstructured":"S. Massanet, J. Torrens: On a new class of fuzzy implications: h-implications and generalizations, Inf. Sci. 181, 2111\u20132127 (2011)","journal-title":"Inf. Sci."},{"key":"10_CR63","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1016\/j.fss.2012.01.018","volume":"205","author":"S. Massanet","year":"2012","unstructured":"S. Massanet, J. Torrens: On some properties of threshold generated implications, Fuzzy Sets Syst. 205, 30\u201349 (2012)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR64","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/j.fss.2012.01.013","volume":"205","author":"S. Massanet","year":"2012","unstructured":"S. Massanet, J. Torrens: Threshold generation method of construction of a new implication from two given ones, Fuzzy Sets Syst. 205, 50\u201375 (2012)","journal-title":"Fuzzy Sets Syst."},{"key":"10_CR65","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1016\/j.fss.2013.03.003","volume":"206","author":"S. Massanet","year":"2013","unstructured":"S. Massanet, J. Torrens: On the vertical threshold generation method of fuzzy implication and its properties, Fuzzy Sets Syst. 206, 32\u201352 (2013)","journal-title":"Fuzzy Sets Syst."}],"container-title":["Springer Handbook of Computational Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-43505-2_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,10]],"date-time":"2023-08-10T23:23:03Z","timestamp":1691709783000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-662-43505-2_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783662435045","9783662435052"],"references-count":65,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-43505-2_10","relation":{},"subject":[],"published":{"date-parts":[[2015]]}}}