{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T02:31:21Z","timestamp":1743129081096,"version":"3.40.3"},"publisher-location":"Cham","reference-count":38,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030543402"},{"type":"electronic","value":"9783030543419"}],"license":[{"start":{"date-parts":[[2020,10,27]],"date-time":"2020-10-27T00:00:00Z","timestamp":1603756800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,10,27]],"date-time":"2020-10-27T00:00:00Z","timestamp":1603756800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-54341-9_5","type":"book-chapter","created":{"date-parts":[[2020,10,26]],"date-time":"2020-10-26T17:03:52Z","timestamp":1603731832000},"page":"45-59","update-policy":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Similarity-Based Three-Valued Modal Logic Approach to Reason with Prototypes and Counterexamples"],"prefix":"10.1007","author":[{"given":"Francesc","family":"Esteva","sequence":"first","affiliation":[]},{"given":"Lluis","family":"Godo","sequence":"additional","affiliation":[]},{"given":"Sandra","family":"Sandri","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,27]]},"reference":[{"key":"5_CR1","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1016\/j.fss.2015.02.018","volume":"276","author":"M Blondel","year":"2015","unstructured":"Blondel, M., Flaminio, T., Schockaert, S., Godo, L., De Cock, M.: On the relationship between fuzzy autoepistemic logic and fuzzy modal logics of belief. Fuzzy Sets Syst. 276, 74\u201399 (2015)","journal-title":"Fuzzy Sets Syst."},{"key":"5_CR2","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/978-1-4615-4429-6_6","volume-title":"Fundamentals of Fuzzy Sets","author":"D Boixader","year":"2000","unstructured":"Boixader, D., Jacas, J., Recasens, J.: Fuzzy equivalence relations: advanced material. In: Dubois, D., Prade, H. (eds.) Fundamentals of Fuzzy Sets, pp. 261\u2013290. Kluwer, Dordrecht (2000)"},{"issue":"6","key":"5_CR3","doi-asserted-by":"publisher","first-page":"1031","DOI":"10.1093\/logcom\/exp030","volume":"19","author":"F Bou","year":"2009","unstructured":"Bou, F., Esteva, F., Font, J.M., Gil, A., Godo, L., Torrens, A., Verd\u00fa, V.: Logics preserving degrees of truth from varieties of residuated lattices. J. Log. Comput. 19(6), 1031\u20131069 (2009)","journal-title":"J. Log. Comput."},{"issue":"5","key":"5_CR4","doi-asserted-by":"publisher","first-page":"739","DOI":"10.1093\/logcom\/exp062","volume":"21","author":"F Bou","year":"2011","unstructured":"Bou, F., Esteva, F., Godo, L., Rodr\u00edguez, R.: On the minimum many-valued modal logic over a finite residuated lattice. J. Log. Comput. 21(5), 739\u2013790 (2011)","journal-title":"J. Log. Comput."},{"doi-asserted-by":"crossref","unstructured":"Bouchon-Meunier, B., Coletti, G., Lesot, M.J., Rifqi, M.: Towards a conscious choice of a similarity measure: a qualitative point of view. In: 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2009), Lecture Notes in Computer Science 5590, pp. 542\u2013553. Springer, Verona, Italy (2009)","key":"5_CR5","DOI":"10.1007\/978-3-642-02906-6_47"},{"unstructured":"Bouchon-Meunier, B., Delechamp, J., Marsala, C., Mesiar, R., Rifqi, M.: Fuzzy deductive reasoning and analogical scheme. In: Proceedings of the EUSFLAT-ESTYLF Joint Conference, Palma de Mallorca, Spain, pp. 22\u201325 (1999)","key":"5_CR6"},{"doi-asserted-by":"crossref","unstructured":"Bouchon-Meunier, B., Delechamp, J., Marsala, C., Rifqi, M.: Several forms of fuzzy analogical reasoning. In: 6th IEEE International Conference on Fuzzy Systems, Fuzz\u2019IEEE\u201997, pp. 45\u201350. IEEE, Barcelona, Spain(1997)","key":"5_CR7","DOI":"10.1109\/FUZZY.1997.616342"},{"unstructured":"Bouchon-Meunier, B., Esteva, F., Godo, L., Rifqi, M., Sandri, S.: A principled approach to fuzzy rule base interpolation using similarity relations. EUSFLAT\u2013LFA 2005, pp. 757\u2013763. Barcelona, Spain (2005)","key":"5_CR8"},{"doi-asserted-by":"crossref","unstructured":"Bouchon-Meunier, B., Rifqi, M., Marsala, C.: Interpolative reasoning based on graduality. In: Fuzz-IEEE 2000\u20149th IEEE International Conference on Fuzzy Systems, pp. 483-487. IEEE, San Antonio, USA (2000)","key":"5_CR9","DOI":"10.1109\/FUZZY.2000.838707"},{"issue":"3","key":"5_CR10","first-page":"141","volume":"3","author":"B Bouchon-Meunier","year":"1999","unstructured":"Bouchon-Meunier, B., Valverde, L.: A fuzzy approach to analogical reasoning. Int. J. Soft Comput. 3(3), 141\u2013147 (1999)","journal-title":"Int. J. Soft Comput."},{"unstructured":"Castro, J.L., Klawonn, F.: Similarity in fuzzy reasoning. Mathware Soft Comput (1996)","key":"5_CR11"},{"doi-asserted-by":"crossref","unstructured":"Chellas, B.F.: Modal Logic. Cambridge University Press (1980)","key":"5_CR12","DOI":"10.1017\/CBO9780511621192"},{"doi-asserted-by":"crossref","unstructured":"Cignoli, R., D\u2019Ottaviano, I.M.L., Mundici, D.: Algebraic Foundations of Many-Valued Reasoning. Trends in Logic, vol. 7. Kluwer, Dordrecht (1999)","key":"5_CR13","DOI":"10.1007\/978-94-015-9480-6_2"},{"doi-asserted-by":"crossref","unstructured":"Ciucci, D., Dubois, D., Lawry, J.: Borderline vs. unknown: comparing three-valued representations of imperfect information. Int. J. Approx. Reason. 55(9), 1866\u20131889 (2014)","key":"5_CR14","DOI":"10.1016\/j.ijar.2014.07.004"},{"issue":"2","key":"5_CR15","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1142\/S021848850300203X","volume":"11","author":"M Demirci","year":"2003","unstructured":"Demirci, M.: On many-valued partitions and many-valued equivalence relations. Int. J. Uncert. Fuzz. Knowl. Based Syst. 11(2), 235\u2013254 (2003)","journal-title":"Int. J. Uncert. Fuzz. Knowl. Based Syst."},{"issue":"3","key":"5_CR16","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1142\/S0218488503002107","volume":"11","author":"M Demirci","year":"2003","unstructured":"Demirci, M.: Representations of the extensions of many-valued equivalence relations. Int. J. Uncer. Fuzz. Knowl. Based Syst. 11(3), 319\u2013342 (2003)","journal-title":"Int. J. Uncer. Fuzz. Knowl. Based Syst."},{"doi-asserted-by":"crossref","unstructured":"Dubois, D., Esteva, F., Godo, L., Prade, H.: An information-based discussion of borderline cases in categorization: six scenarios leading to vagueness. In: Cohen, H., Lefebvre, C. (eds.) Handbook of Categorization in Cognitive Science (Second Edition), pp. 1029\u20131051. Elsevier (2017)","key":"5_CR17","DOI":"10.1016\/B978-0-08-101107-2.00041-5"},{"key":"5_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0888-613X(96)00137-5","volume":"17","author":"D Dubois","year":"1997","unstructured":"Dubois, D., Prade, H., Esteva, F., Garcia, P., Godo, L.: A logical approach to interpolation based on similarity relations. Int. J. Approx. Reason. 17, 1\u201336 (1997)","journal-title":"Int. J. Approx. Reason."},{"doi-asserted-by":"crossref","unstructured":"Dutta, S., Esteva, F., Godo, L.: On a three-valued logic to reason with prototypes and counterexamples and a similarity-based generalization. In: O.Lucas et al. (eds.) Proceedings of CAEPIA 2016 Advances in Artificial Intelligence, LNAI 9868, pp. 498\u2013508. Springer, Berlin (2016)","key":"5_CR19","DOI":"10.1007\/978-3-319-44636-3_47"},{"key":"5_CR20","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1016\/S0888-613X(96)00126-0","volume":"16","author":"F Esteva","year":"1997","unstructured":"Esteva, F., Garcia, P., Godo, L., Rodr\u00edguez, R.O.: A modal account of similarity-based reasoning. Int. J. Approx. Reason. 16, 235\u2013260 (1997)","journal-title":"Int. J. Approx. Reason."},{"unstructured":"F. Esteva, L. Godo, R. O. Rodr\u00edguez, T. Vetterlein., Logics for approximate and strong entailments. Fuzzy Sets Syst. 197, 59\u201370 (2012)","key":"5_CR21"},{"unstructured":"Esteva, F., Rifqi, M., Bouchon-Meunier, B., Detyniecki, M.: Similarity-based fuzzy interpolation method. In: Proceedings of the International conference on Information Processing and Management of Uncertainty in knowledge-based systems, IPMU 2004, pp. 1443\u20131449. Perugia, Italy (2004)","key":"5_CR22"},{"doi-asserted-by":"crossref","unstructured":"H\u00e1jek, P.: Methamatematics of Fuzzy Logic. Trends in Logic, vol. 4. Kluwer, Dordrecht (1998)","key":"5_CR23","DOI":"10.1007\/978-94-011-5300-3"},{"issue":"3","key":"5_CR24","doi-asserted-by":"publisher","first-page":"134","DOI":"10.1007\/s005000050045","volume":"2","author":"U H\u00f6hle","year":"1998","unstructured":"H\u00f6hle, U.: Many-valued equalities, singletons and fuzzy partitions. Soft Comput. 2(3), 134\u2013140 (1998)","journal-title":"Soft Comput."},{"key":"5_CR25","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/0165-0114(90)90190-H","volume":"35","author":"J Jacas","year":"1990","unstructured":"Jacas, J.: Similarity relations\u2014the calculation of minimal generating families. Fuzzy Sets Syst. 35, 151\u2013162 (1990)","journal-title":"Fuzzy Sets Syst."},{"key":"5_CR26","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1016\/0165-0114(91)90048-U","volume":"40","author":"S Ovchinnikov","year":"1991","unstructured":"Ovchinnikov, S.: Similarity relations, fuzzy partitions and fuzzy orderings. Fuzzy Sets Syst. 40, 107\u2013126 (1991)","journal-title":"Fuzzy Sets Syst."},{"doi-asserted-by":"crossref","unstructured":"Recasens, J.: Indistinguishability Operators\u2014Modelling Fuzzy Equalities and Fuzzy Equivalence Relations. Studies in Fuzziness and Soft Computing 260, Springer (2011)","key":"5_CR27","DOI":"10.1007\/978-3-642-16222-0"},{"unstructured":"Rifqi, M., Bouchon-Meunier, B.: Set-theoretic similarity measures. In: Proceedings of Knowledge-based Intelligent Information Engineering Systems and Allied Technologies (KES\u20192002), pp. 879\u2013884. Cremona, Italy (2002)","key":"5_CR28"},{"unstructured":"Rifqi, M., Detyniecki, M., Bouchon-Meunier, B.: Discrimination power of measures of resemblance. In: Proceedings of the 10th International Fuzzy Systems Association World Congress (IFSA 2003), Istanbul, Turkey (2003)","key":"5_CR29"},{"key":"5_CR30","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/0888-613X(91)90006-8","volume":"5","author":"EH Ruspini","year":"1991","unstructured":"Ruspini, E.H.: On the semantics of fuzzy logic. Int. J. Approx. Reason. 5, 45\u201388 (1991)","journal-title":"Int. J. Approx. Reason."},{"unstructured":"Trillas, E.: Assaig sobre les relacions d\u00d5indistingibilitat. In: Proceedings Primer Congr\u00e9s Catal\u00e0 de L\u00f2gica Matem\u00e0tica, pp. 51\u201359. Barcelona (1982)","key":"5_CR31"},{"doi-asserted-by":"crossref","unstructured":"Trillas, E., Valverde, L.: An inquiry into indistinguishability operators. Theory Decis. Lib. 231\u2013256. Reidel, Dordrecht (1984)","key":"5_CR32","DOI":"10.1007\/978-94-009-6309-2_12"},{"unstructured":"Trillas, E., Valverde, L.: On implication and indistinguishability in the setting of fuzzy logic. In: Kacprzyk, J., Yager, R.R. (eds.), Management Decision Support Systems Using Fuzzy Sets and Possibility Theory, pp. 198\u2013212. Verlag TUV Rheinland Koln (1984)","key":"5_CR33"},{"key":"5_CR34","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1016\/0165-0114(85)90096-X","volume":"17","author":"L Valverde","year":"1985","unstructured":"Valverde, L.: On the structure of F-indistinguishability operators. Fuzzy Sets Syst. 17, 313\u2013328 (1985)","journal-title":"Fuzzy Sets Syst."},{"doi-asserted-by":"crossref","unstructured":"Vetterlein, T.: Logic of prototypes and counterexamples: possibilities and limits. In: Alonso, J.M. et al. (eds.), Proceedings of IFSA-EUSFLAT-15, pp. 697\u2013704. Atlantis Press (2015)","key":"5_CR35","DOI":"10.2991\/ifsa-eusflat-15.2015.99"},{"key":"5_CR36","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1016\/j.ijar.2015.06.008","volume":"64","author":"T Vetterlein","year":"2015","unstructured":"Vetterlein, T.: Logic of approximate entailment in quasimetric spaces. Int. J. Approx. Reason. 64, 39\u201353 (2015)","journal-title":"Int. J. Approx. Reason."},{"key":"5_CR37","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/j.ijar.2016.02.001","volume":"71","author":"T Vetterlein","year":"2016","unstructured":"Vetterlein, T., Esteva, F., Godo, L.: Logics for approximate entailment in ordered universes of discourse. Int. J. Approx. Reason. 71, 50\u201363 (2016)","journal-title":"Int. J. Approx. Reason."},{"unstructured":"Zadeh, L.A.: Similarity relations and fuzzy orderings. Inform. Sci. 3, 177\u2013200 (1971)","key":"5_CR38"}],"container-title":["Studies in Fuzziness and Soft Computing","Fuzzy Approaches for Soft Computing and Approximate Reasoning: Theories and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-54341-9_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,16]],"date-time":"2024-08-16T12:50:31Z","timestamp":1723812631000},"score":1,"resource":{"primary":{"URL":"https:\/\/linproxy.fan.workers.dev:443\/http\/link.springer.com\/10.1007\/978-3-030-54341-9_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,27]]},"ISBN":["9783030543402","9783030543419"],"references-count":38,"URL":"https:\/\/linproxy.fan.workers.dev:443\/https\/doi.org\/10.1007\/978-3-030-54341-9_5","relation":{},"ISSN":["1434-9922","1860-0808"],"issn-type":[{"type":"print","value":"1434-9922"},{"type":"electronic","value":"1860-0808"}],"subject":[],"published":{"date-parts":[[2020,10,27]]},"assertion":[{"value":"27 October 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}