Linked bibliography for the SEP article "Fuzzy Logic" by Petr Cintula, Christian G. Fermüller and Carles Noguera

This is an automatically generated and experimental page

If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.

This experiment has been authorized by the editors of the Stanford Encyclopedia of Philosophy. The original article and bibliography can be found here.

Supplementary document:

Bibliography Sorted by Topic

  • Aguzzoli, Stefano, Simone Bova, and Brunella Gerla, 2011, “Free algebras and functional representation for fuzzy logics”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 2, (Mathematical Logic and Foundations, Volume 38), London: College Publications, pages 713–791. (Scholar)
  • Avron, Arnon, 1991, “Hypersequents, Logical Consequence and Intermediate Logics for Concurrency”, Annals of Mathematics and Artificial Intelligence, 4(3–4): 225–248. doi:10.1007/bf01531058 (Scholar)
  • Baaz, Matthias, 1996, “Infinite-Valued Gödel Logic with 0–1-Projections and Relativisations”, in Hájek, Petr (ed.), Gödel’96: Logical Foundations of Mathematics, Computer Science, and Physics, (Lecture Notes in Logic, Volume 6), Brno: Springer, pages 23–33. (Scholar)
  • Baaz, Matthias, Petr Hájek, Franco Montagna, and Helmut Veith, 2002, “Complexity of T-Tautologies”, Annals of Pure and Applied Logic, 113(1–3): 3–11. (Scholar)
  • Baaz, Matthias and Norbert Preining, 2011, “Gödel–Dummett Logics”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 2, (Mathematical Logic and Foundations, Volume 38), London: College Publications, pages 585–625. (Scholar)
  • Badia, Guillermo and Carles Noguera, 2021, “Lindström theorems in graded model theory”, Annals of Pure and Applied Logic, 172(3): 102916. doi: 10.1016/j.apal.2020.102916 (Scholar)
  • –––, 2021, “A General Omitting Types Theorem in Mathematical Fuzzy Logic”, IEEE Transactions on Fuzzy Systems, 29(6): 1386–1394. doi: 10.1109/tfuzz.2020.2975146 (Scholar)
  • Běhounek, Libor, 2009, “Fuzzy Logics Interpreted as Logics of Resources”, in Peliš, Michal (ed.), The Logica Yearbook 2008, London: College Publications, pages 9–21. (Scholar)
  • –––, 2014, “In Which Sense Is Fuzzy Logic a Logic For Vagueness?”, in Łukasiewicz, Thomas, Rafael Peñaloza, and Anni-Yasmin Turhan (eds.), PRUV 2014: Logics for Reasoning About Preferences, Uncertainty, and Vagueness, (CEUR Workshop Proceedings, Volume 1205), Dresden: CEUR. (Scholar)
  • Běhounek, Libor and Petr Cintula, 2005, “Fuzzy Class Theory”, Fuzzy Sets and Systems, 154(1): 34–55. (Scholar)
  • –––, 2006, “Fuzzy Logics as the Logics of Chains”, Fuzzy Sets and Systems, 157(5): 604–610. (Scholar)
  • Běhounek, Libor and Zuzana Haniková, 2014, “Set Theory and Arithmetic in Fuzzy Logic”, in Montagna, Franco (ed.), Petr Hájek on Mathematical Fuzzy Logic, (Outstanding Contributions to Logic, Volume 6), Cham: Springer, pages 63–89. (Scholar)
  • Bělohlávek, Radim, Joseph W. Dauben, and George J. Klir, 2017, Fuzzy Logic and Mathematics: A Historical Perspective, Oxford: Oxford University Press. doi:10.1093/oso/9780190200015.001.0001 (Scholar)
  • Bělohlávek, Radim and Vilém Vychodil, 2005, Fuzzy Equational Logic, (Studies in Fuzziness and Soft Computing, Volume 186), Berlin and Heidelberg: Springer. (Scholar)
  • Bobillo, Fernando, Marco Cerami, Francesc Esteva, Àngel García-Cerdaña, Rafael Peñaloza, and Umberto Straccia, 2015, “Fuzzy Description Logics”, in Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 3, (Mathematical Logic and Foundations, Volume 58), London: College Publications, pages 1105–1181. (Scholar)
  • Bou, Félix, Francesc Esteva, Lluís Godo, and Ricardo Oscar Rodríguez, 2011, “On the Minimum Many-Valued Modal Logic Over a Finite Residuated Lattice”, Journal of Logic and Computation, 21(5): 739–790. (Scholar)
  • Busaniche, Manuela and Franco Montagna, 2011, “Hájek’s Logic BL and BL-Algebras”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 1, (Mathematical Logic and Foundations, Volume 37), London: College Publications, pages 355–447.
  • Ciabattoni, Agata, Nikolaos Galatos, and Kazushige Terui, 2012, “Algebraic Proof Theory for Substructural Logics: Cut-Elimination and Completions”, Annals of Pure and Applied Logic, 163(3): 266–290. (Scholar)
  • Caicedo, Xavier, George Metcalfe, Ricardo Oscar Rodríguez, and Jonas Rogger, 2017, “Decidability of order-based modal logics”, Journal of Computer and System Sciences, 88: 53–74. doi:10.1016/j.jcss.2017.03.012 (Scholar)
  • Caicedo, Xavier and Ricardo Oscar Rodríguez, 2010, “Standard Gödel Modal Logics”, Studia Logica, 94(2): 189–214. (Scholar)
  • –––, 2015, “Bi-modal Gödel logic over [0, 1]-valued Kripke frames”, Journal of Logic and Computation, 25(1): 37–55. doi: 10.1093/logcom/exs036 (Scholar)
  • Cicalese, Ferdinando and Franco Montagna, 2015, “Ulam–Rényi Game Based Semantics For Fuzzy Logics”, in Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 3, (Mathematical Logic and Foundations, Volume 58), London: College Publications, pages 1029–1062. (Scholar)
  • Cignoli, Roberto, Itala M. D’Ottaviano, and Daniele Mundici, 1999, Algebraic Foundations of Many-Valued Reasoning, (Trends in Logic, Volume 7), Dordrecht: Kluwer. (Scholar)
  • Cintula, Petr, 2006, “Weakly Implicative (Fuzzy) Logics I: Basic Properties”, Archive for Mathematical Logic, 45(6): 673–704. (Scholar)
  • Cintula, Petr, Denisa Diaconescu, and George Metcalfe, 2019, “Skolemization and Herbrand theorems for lattice-valued logics”, Theoretical Computer Science, 768: 54–75. doi: 10.1016/j.tcs.2019.02.007 (Scholar)
  • Cintula, Petr, Francesc Esteva, Joan Gispert, Lluís Godo, Franco Montagna, and Carles Noguera, 2009, “Distinguished Algebraic Semantics for T-norm Based Fuzzy Logics: Methods and Algebraic Equivalencies”, Annals of Pure and Applied Logic, 160(1): 53–81. (Scholar)
  • Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), 2015, Handbook of Mathematical Fuzzy Logic, volume 3, (Studies in Logic, Volume 58), London: College Publications. (Scholar)
  • Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), 2011a, Handbook of Mathematical Fuzzy Logic, volume 1 (Studies in Logic, Volume 37), London: College Publications. (Scholar)
  • ––– (eds.), 2011b, Handbook of Mathematical Fuzzy Logic, volume 2 (Studies in Logic, Volume 38), London: College Publications. (Scholar)
  • Cintula, Petr, Rostislav Horčík, Carles Noguera, 2013, “Non-Associative Substructural Logics and their Semilinear Extensions: Axiomatization and Completeness Properties”, The Review of Symbolic Logic, 6(3): 394–423. doi:10.1017/s1755020313000099 (Scholar)
  • –––, 2014, “The Quest for the Basic Fuzzy Logic”, in Montagna, Franco (ed.), Petr Hájek on Mathematical Fuzzy Logic, (Outstanding Contributions to Logic, Volume 6), Cham: Springer, pages 245–290. doi:10.1007/978-3-319-06233-4_12 (Scholar)
  • Cintula, Petr, Paula Menchón, and Carles Noguera, 2019, “Toward a general frame semantics for modal many-valued logics”, Soft Computing, 23(7): 2233–2241. doi: 10.1007/s00500-018-3369-5 (Scholar)
  • Cintula, Petr and Carles Noguera, 2011, “A General Framework for Mathematical Fuzzy Logic”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 1, (Mathematical Logic and Foundations, Volume 37), London: College Publications, pages 103–207. (Scholar)
  • Cintula, Petr and George Metcalfe, 2009, “Structural Completeness in Fuzzy Logics”, Notre Dame Journal of Formal Logic, 50(2): 153–183. (Scholar)
  • Dellunde, Pilar, 2012, “Preserving Mappings in Fuzzy Predicate Logics”, Journal of Logic and Computation, 22(6): 1367–1389. (Scholar)
  • Dellunde, Pilar, Àngel García-Cerdaña, and Carles Noguera, 2018, “Back-and-forth systems for fuzzy first-order models”, Fuzzy Sets and Systems, 345: 83–98. (Scholar)
  • Di Nola, Antonio and Giangiacomo Gerla, 1986, “Fuzzy Models of First-Order Languages”, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 32(19–24): 331–340. (Scholar)
  • Dummett, Michael, 1959, “A Propositional Calculus with Denumerable Matrix”, Journal of Symbolic Logic, 24(2): 97–106. doi:10.2307/2964753 (Scholar)
  • Esteva, Francesc, Joan Gispert, Lluís Godo, and Carles Noguera, 2007, “Adding Truth-Constants to Logics of Continuous T-norms: Axiomatization and Completeness Results”, Fuzzy Sets and Systems, 158(6): 597–618. doi:10.1016/j.fss.2006.11.010 (Scholar)
  • Esteva, Francesc and Lluís Godo, 2001, “Monoidal T-norm Based Logic: Towards a Logic for Left-Continuous T-norms”, Fuzzy Sets and Systems, 124(3): 271–288. doi:10.1016/s0165-0114(01)00098-7 (Scholar)
  • Esteva, Francesc, Lluís Godo, and Àngel García-Cerdaña, 2003, “On the Hierarchy of T-norm Based Residuated Fuzzy Logics”, in Fitting, Melvin and Ewa Orłowska (eds.), Beyond Two: Theory and Applications of Multiple-Valued Logic, (Studies in Fuzziness and Soft Computing, Volume 114), Heidelberg: Springer, pages 251–272. (Scholar)
  • Esteva, Francesc, Lluís Godo, Petr Hájek, and Mirko Navara, 2000, “Residuated Fuzzy Logics with an Involutive Negation”, Archive for Mathematical Logic, 39(2): 103–124. doi:10.1007/s001530050006 (Scholar)
  • Esteva, Francesc, Lluís Godo, and Enrico Marchioni, 2011, “Fuzzy Logics with Enriched Language”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 2, (Mathematical Logic and Foundations, Volume 38), London: College Publications, pages 627–711. (Scholar)
  • Esteva, Francesc, Lluís Godo, and Franco Montagna, 2001, “The \(L\Pi\) and \(L\Pi\frac12\) Logics: Two Complete Fuzzy Systems Joining Łukasiewicz and Product Logics”, Archive for Mathematical Logic, 40(1): 39–67. doi:10.1007/s001530050173 (Scholar)
  • –––, 2003, “Axiomatization of Any Residuated Fuzzy Logic Defined by a Continuous T-norm”, in Taner Bilgiç, Bernard De Baets, and Okyay Kaynak (eds.), Fuzzy Sets and Systems: IFSA 2003, (Lecture Notes in Computer Science, Volume 2715), Berlin/Heidelberg: Springer, pages 172–179. doi:10.1007/3-540-44967-1_20 (Scholar)
  • Fedel, Martina, Hykel Hosni, and Franco Montagna, 2011, “A Logical Characterization of Coherence for Imprecise Probabilities”, International Journal of Approximate Reasoning, 52(8): 1147–1170, doi: 10.1016/j.ijar.2011.06.004. (Scholar)
  • Fermüller, Christian G., 2015, “Semantic Games for Fuzzy Logics”, Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), 2015, Handbook of Mathematical Fuzzy Logic, volume 3, (Studies in Logic, Volume 58), London: College Publications, pages 969–1028. (Scholar)
  • Fermüller, Christian G. and George Metcalfe, 2009, “Giles’s Game and Proof Theory for Łukasiewicz Logic”, Studia Logica, 92(1): 27–61. doi:10.1007/s11225-009-9185-2 (Scholar)
  • Fermüller, Christian G. and Christoph Roschger, 2014, “Randomized Game Semantics for Semi-Fuzzy Quantifiers”, Logic Journal of the Interest Group of Pure and Applied Logic, 22(3): 413–439. doi:10.1093/jigpal/jzt049 (Scholar)
  • Flaminio, Tommaso, Lluís Godo, and Enrico Marchioni, 2011, “Reasoning About Uncertainty of Fuzzy Events: An Overview”, in Cintula, Petr, Christian G. Fermüller, Lluís Godo, and Petr Hájek(eds.), Understanding Vagueness: Logical, Philosophical, and Linguistic Perspectives, (Studies in Logic, Volume 36), London: College Publications, pages 367–400. (Scholar)
  • Flaminio, Tommaso and Tomáš Kroupa, 2015, “States of MV-Algebras”, in Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 3, (Mathematical Logic and Foundations, Volume 58), London: College Publications, pages 1183–1236. (Scholar)
  • Font, Josep Maria, 2016, Abstract Algebraic Logic: An Introductory Textbook, (Mathematical Logic and Foundations, Volume 60), London: College Publications. (Scholar)
  • Galatos, Nikolaos, Peter Jipsen, Tomasz Kowalski, and Hiroakira Ono, 2007, Residuated Lattices: An Algebraic Glimpse at Substructural Logics, (Studies in Logic and the Foundations of Mathematics, Volume 151), Amsterdam: Elsevier. (Scholar)
  • García-Cerdaña, Àngel, Eva Armengol, and Francesc Esteva, 2010, “Fuzzy Description Logics and T-norm Based Fuzzy Logics”, International Journal of Approximate Reasoning, 51(6): 632–655. (Scholar)
  • Gehrke, Mai, Carol L. Walker, and Elbert A. Walker, 1997, “A Mathematical Setting for Fuzzy Logics”, International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems, 5(3): 223–238. doi:10.1142/s021848859700021x (Scholar)
  • Gerla, Giangiacomo, 2001, Fuzzy Logic—Mathematical Tool for Approximate Reasoning, (Trends in Logic, Volume 11), New York: Kluwer and Plenum Press. (Scholar)
  • Giles, Robin, 1974, “A Non-Classical Logic for Physics”, Studia Logica, 33(4): 397–415. doi:10.1007/bf02123379 (Scholar)
  • Gödel, Kurt, 1932, “Zum intuitionistischen Aussagenkalkül”, Anzeiger Akademie Der Wissenschaften Wien, 69: 65–66. (Scholar)
  • Godo, Lluís, Francesc Esteva, and Petr Hájek, 2000, “Reasoning About Probability Using Fuzzy Logic”, Neural Network World, 10(5): 811–823. (Scholar)
  • Goguen, Joseph A., 1969, “The Logic of Inexact Concepts”, Synthese, 19(3–4): 325–373. (Scholar)
  • Gottwald, Siegfried, 2001, A Treatise On Many-Valued Logics, (Studies in Logic and Computation, Volume 9), Baldock: Research Studies Press Ltd. (Scholar)
  • Hájek, Petr, 1998, Metamathematics of Fuzzy Logic, (Trends in Logic, Volume 4), Dordrecht: Kluwer. (Scholar)
  • –––, 2001, “On Very True”, Fuzzy Sets and Systems, 124(3): 329–333. (Scholar)
  • –––, 2005, “Making Fuzzy Description Logic More General”, Fuzzy Sets and Systems, 154(1): 1–15. (Scholar)
  • Hájek, Petr and Petr Cintula, 2006, “On Theories and Models in Fuzzy Predicate Logics”, Journal of Symbolic Logic, 71(3): 863–880. (Scholar)
  • Hájek, Petr and Zuzana Haniková, 2003, “A Development of Set Theory in Fuzzy Logic”, in Fitting, Melvin and Ewa Orłowska (eds.), Beyond Two: Theory and Applications of Multiple-Valued Logic, (Studies in Fuzziness and Soft Computing, Volume 114), Heidelberg: Springer, pages 273–285. (Scholar)
  • Hájek, Petr, Franco Montagna, Carles Noguera, 2011, “Arithmetical Complexity of First-Order Fuzzy Logics”, in Cintula, Petr, Petr Hájek, and Carles Noguera(eds.), Handbook of Mathematical Fuzzy Logic, Volume 2, (Mathematical Logic and Foundations, Volume 38), London: College Publications, pages 853–908. (Scholar)
  • Hájek, Petr and Vilém Novák, 2003, “The Sorites Paradox and Fuzzy Logic”, International Journal of General Systems, 32(4): 373–383. doi:10.1080/0308107031000152522 (Scholar)
  • Hájek, Petr, Jeff Paris, and John C. Shepherdson, 2000, “The Liar Paradox and Fuzzy Logic”, Journal of Symbolic Logic, 65(1): 339–346. (Scholar)
  • Haniková, Zuzana, 2011, “Computational Complexity of Propositional Fuzzy Logics”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 2, (Mathematical Logic and Foundations, Volume 38), London: College Publications, pages 793–851. (Scholar)
  • –––, 2014, “Varieties Generated by Standard BL-Algebras”, Order, 31(1): 15–33. doi:10.1007/s11083-013-9285-5 (Scholar)
  • Hansoul, Georges and Bruno Teheux, 2013, “Extending Łukasiewicz Logics with a Modality: Algebraic Approach to Relational Semantics”, Studia Logica, 101(3): 505–545, doi: 10.1007/s11225-012-9396-9. (Scholar)
  • Hay, Louise Schmir, 1963, “Axiomatization of the Infinite-Valued Predicate Calculus”, Journal of Symbolic Logic, 28(1): 77–86. doi:10.2307/2271339 (Scholar)
  • Hisdal, Ellen, 1988, “Are Grades of Membership Probabilities?” Fuzzy Sets and Systems, 25(3): 325–348. doi:10.1016/0165-0114(88)90018-8 (Scholar)
  • Horčík, Rostislav, 2011, “Algebraic Semantics: Semilinear FL-Algebras”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 1, (Mathematical Logic and Foundations, Volume 37), London: College Publications, pages 283–353. (Scholar)
  • Horn, Alfred, 1969, “Logic with Truth Values in a Linearly Ordered Heyting Algebra”, The Journal of Symbolic Logic, 34(3): 395–408. (Scholar)
  • Jenei, Sándor and Franco Montagna, 2002, “A Proof of Standard Completeness for Esteva and Godo’s Logic MTL”, Studia Logica, 70(2): 183–192. doi:10.1023/a:1015122331293 (Scholar)
  • Jeřábek, Emil, 2010, “Bases of Admissible Rules of Łukasiewicz Logic”, Journal of Logic and Computation, 20(6): 1149–1163. (Scholar)
  • –––, 2003, “A Proof of Standard Completeness for Non-Commutative Monoidal T-norm Logic”, Neural Network World, 13(5): 481–489. (Scholar)
  • Klement, Erich Peter, Radko Mesiar, and Endre Pap, 2000, Triangular Norms, (Trends in Logic, Volume 8), Dordrecht: Kluwer. (Scholar)
  • Lawry, Jonathan, 1998, “A Voting Mechanism for Fuzzy Logic”, International Journal of Approximate Reasoning, 19(3–4): 315–333. doi:10.1016/s0888-613x(98)10013-0 (Scholar)
  • Leştean, Ioana and Antonio Di Nola, 2011, “Łukasiewicz Logic and MV-Algebras”, in Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 2, (Mathematical Logic and Foundations, Volume 38), London: College Publications, pages 469–583. (Scholar)
  • Ling, Cho-Hsin, 1965, “Representation of Associative Functions”, Publicationes Mathematicae Debrecen, 12: 189–212. (Scholar)
  • Łukasiewicz, Jan, 1920, “O Logice Trójwartościowej”, Ruch Filozoficzny, 5: 170–171. English translation, “On Three-Valued Logic”, in McCall, Storrs (ed.), 1967, Polish Logic 1920–1939, Oxford: Clarendon Press, pages 16–18, and in Jan Łukasiewicz, 1970, Selected Works, Borkowski, Ludwik (ed.), Amsterdam: North-Holland, pages 87–88. (Scholar)
  • Łukasiewicz, Jan and Alfred Tarski, 1930, “Untersuchungen über den Aussagenkalkül”, Comptes Rendus Des Séances de La Société Des Sciences et Des Lettres de Varsovie, Cl. III, 23(iii): 30–50. (Scholar)
  • Marra, Vincenzo and Luca Spada, 2013, “Duality, Projectivity, and Unification in Łukasiewicz Logic and MV-Algebras”, Annals of Pure and Applied Logic, 164(3): 192–210. (Scholar)
  • McNaughton, Robert, 1951, “A Theorem About Infinite-Valued Sentential Logic”, Journal of Symbolic Logic, 16(1): 1–13. doi:10.2307/2268660 (Scholar)
  • Metcalfe, George, 2011, “Proof Theory for Mathematical Fuzzy Logic”, Cintula, Petr, Petr Hájek, and Carles Noguera (eds.), 2011a, Handbook of Mathematical Fuzzy Logic, volume 1 (Studies in Logic, Volume 37), London: College Publications, pages 209–282. (Scholar)
  • Metcalfe, George and Franco Montagna, 2007, “Substructural Fuzzy Logics”, Journal of Symbolic Logic, 72(3): 834–864. doi:10.2178/jsl/1191333844 (Scholar)
  • Metcalfe, George, Nicola Olivetti, and Dov M. Gabbay, 2008, Proof Theory for Fuzzy Logics, (Applied Logic Series, Volume 36), Dordrecht: Springer Netherlands. (Scholar)
  • Montagna, Franco, 2001, “Three Complexity Problems in Quantified Fuzzy Logic”, Studia Logica, 68(1): 143–152. doi:10.1023/a:1011958407631 (Scholar)
  • Montagna, Franco and Carles Noguera, 2010, “Arithmetical Complexity of First-Order Predicate Fuzzy Logics Over Distinguished Semantics”, Journal of Logic and Computation, 20(2): 399–424. doi:10.1093/logcom/exp052 (Scholar)
  • Montagna, Franco, Carles Noguera, and Rostislav Horčík, 2006, “On Weakly Cancellative Fuzzy Logics”, Journal of Logic and Computation, 16(4): 423–450. (Scholar)
  • Montagna, Franco and Hiroakira Ono, “Kripke Semantics, Undecidability and Standard Completeness for Esteva and Godo’s Logic MTL\(\forall\)”, Studia Logica, 71(2): 227–245. (Scholar)
  • Mostert, Paul S. and Allen L. Shields, 1957, “On the Structure of Semigroups on a Compact Manifold with Boundary”, The Annals of Mathematics, Second Series, 65(1): 117–143. doi:10.2307/1969668 (Scholar)
  • Mundici, Daniele, 1987, “Satisfiability in Many-Valued Sentential Logic is NP-Complete”, Theoretical Computer Science, 52(1–2): 145–153. (Scholar)
  • –––, 1992, “The Logic of Ulam’s Game with Lies”, in Bicchieri, Cristina and Maria Luisa Dalla Chiara (eds.), Knowledge, Belief, and Strategic Interaction (Castiglioncello, 1989), Cambridge: Cambridge University Press, 275–284. (Scholar)
  • –––, 2011, Advanced Łukasiewicz Calculus and MV-Algebras, (Trends in Logic, Volume 35), New York: Springer. (Scholar)
  • Novák, Vilém, 2004, “On Fuzzy Type Theory”, Fuzzy Sets and Systems, 149(2): 235–273. (Scholar)
  • –––, 2015, “Fuzzy Logic with Evaluated Syntax”, in Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 3, (Mathematical Logic and Foundations, Volume 58), London: College Publications, pages 1063–1104. (Scholar)
  • Novák, Vilém, Irina Perfilieva, and Jiří Močkoř, 2000, Mathematical Principles of Fuzzy Logic, Dordrecht: Kluwer. (Scholar)
  • Nguyen, Hung T. and Elbert A. Walker, 2005, A First Course in Fuzzy Logic (third edition), Chapman and Hall/CRC. (Scholar)
  • Paris, Jeff, 1997, “A Semantics for Fuzzy Logic”, Soft Computing, 1(3): 143–147. doi:10.1007/s005000050015 (Scholar)
  • –––, 2000, “Semantics for Fuzzy Logic Supporting Truth Functionality”, in Vilém Novák and Irina Perfilieva (eds.), Discovering the World with Fuzzy Logic, (Studies in Fuzziness and Soft Computing. Volume 57), Heidelberg: Springer, pages 82–104. (Scholar)
  • Pavelka, Jan, 1979, “On Fuzzy Logic I, II, and III”, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, 25: 45–52, 119–134, and 447–464. (Scholar)
  • Ragaz, Matthias Emil, 1981, Arithmetische Klassifikation von Formelmengen der unendlichwertigen Logik (PhD thesis), Swiss Federal Institute of Technology, Zürich. doi:10.3929/ethz-a-000226207 (Scholar)
  • Rodríguez, Ricardo Oscar and Amanda Vidal, 2021, “Axiomatization of Crisp Gödel Modal Logic”, Studia Logica, 109(2): 367–395. doi: 10.1007/s11225-020-09910-5 (Scholar)
  • Ross, Timothy J., 2016, Fuzzy Logic with Engineering Applications (fourth edition), Hoboken, NJ: Wiley. (Scholar)
  • Ruspini, Enrique H., 1991, “On the Semantics of Fuzzy Logic”, International Journal of Approximate Reasoning, 5(1): 45–88. doi:10.1016/0888-613x(91)90006-8 (Scholar)
  • Scarpellini, Bruno, 1962, “Die Nichtaxiomatisierbarkeit des unendlichwertigen Prädikatenkalküls von Łukasiewicz”, Journal of Symbolic Logic, 27(2): 159–170. doi:10.2307/2964111 (Scholar)
  • Smith, Nicholas J.J., 2005, “Vagueness as Closeness”, Australasian Journal of Philosophy, 83(2): 157–183. doi:10.1080/00048400500110826 (Scholar)
  • –––, 2008, Vagueness and Degrees of Truth, Oxford: Oxford University Press. (Scholar)
  • –––, 2015, “Fuzzy Logics in Theories of Vagueness”, in Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 3, (Mathematical Logic and Foundations, Volume 58), London: College Publications, pages 1237–1281. (Scholar)
  • Straccia, Umberto, 1998, “A Fuzzy Description Logic”, in Mostow, Jack and Chuck Rich (eds.), Proceedings of the 15th National Conference on Artificial Intelligence (AAAI 1998), Menlo Park: AAAI Press, pages 594–599. (Scholar)
  • Takeuti, Gaisi and Satako Titani, 1984, “Intuitionistic Fuzzy Logic and Intuitionistic Fuzzy Set Theory”, Journal of Symbolic Logic, 49(3): 851–866. (Scholar)
  • Teheux, Bruno, 2016, “Modal definability based on Łukasiewicz validity relations”, Studia Logica, 104(2): 343–363. doi: 10.1007/s11225-015-9643-y (Scholar)
  • Takeuti, Gaisi and Satako Titani, 1992, “Fuzzy Logic and Fuzzy Set Theory”, Archive for Mathematical Logic, 32(1): 1–32. (Scholar)
  • Vetterlein, Thomas, 2015, “Algebraic Semantics: The Structure of Residuated Chains”, in Cintula, Petr, Christian G. Fermüller, and Carles Noguera (eds.), Handbook of Mathematical Fuzzy Logic, Volume 3, (Mathematical Logic and Foundations, Volume 58), London: College Publications, pages 929–967. (Scholar)
  • Vidal, Amanda, 2021, “On transitive modal many-valued logics”, Fuzzy Sets and Systems, 407: 97–114. doi: 10.1016/j.fss.2020.01.011 (Scholar)
  • Vidal, Amanda, Francesc Esteva, and Lluís Godo, 2017, “On modal extensions of Product fuzzy logic”, Journal of Logic and Computation, 27(1): 299–336. doi: 10.1093/logcom/exv046 (Scholar)
  • Zadeh, Lotfi A., 1965, “Fuzzy Sets”, Information and Control, 8(3): 338–353. doi:10.1016/s0019-9958(65)90241-x (Scholar)
  • –––, 1975, “Fuzzy logic and approximate reasoning”, Synthese, 30: 407–428. doi: 10.1007/bf00485052 (Scholar)

Generated Mon Jan 24 00:12:58 2022