{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:17:34Z","timestamp":1740107854266,"version":"3.37.3"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"16","license":[{"start":{"date-parts":[[2019,1,2]],"date-time":"2019-01-02T00:00:00Z","timestamp":1546387200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003196","name":"Ministero della Salute","doi-asserted-by":"publisher","award":["J521I14001640001"],"award-info":[{"award-number":["J521I14001640001"]}],"id":[{"id":"10.13039\/501100003196","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010607","name":"Universit\u00e0 degli Studi di Perugia","doi-asserted-by":"publisher","award":["funding of 2016 Research Projects:Decisions under risk, uncertainty and imprecision"],"award-info":[{"award-number":["funding of 2016 Research Projects:Decisions under risk, uncertainty and imprecision"]}],"id":[{"id":"10.13039\/501100010607","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2019,8]]},"DOI":"10.1007\/s00500-018-03724-3","type":"journal-article","created":{"date-parts":[[2019,1,2]],"date-time":"2019-01-02T13:55:54Z","timestamp":1546437354000},"page":"6827-6845","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["A study of similarity measures through the paradigm of measurement theory: the classic case"],"prefix":"10.1007","volume":"23","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0152-1735","authenticated-orcid":false,"given":"Giulianella","family":"Coletti","sequence":"first","affiliation":[]},{"given":"Bernadette","family":"Bouchon-Meunier","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,1,2]]},"reference":[{"key":"3724_CR1","volume-title":"Cluster analysis for applications","author":"MR Anderberg","year":"1973","unstructured":"Anderberg MR (1973) Cluster analysis for applications. Academic Press, New York"},{"key":"3724_CR2","unstructured":"Baioletti M, Coletti G, Petturiti D (2012) Advances in computational intelligence: 14th international conference on information processing and management of uncertainty in knowledge-based systems, IPMU 2012, Catania, Italy, July 9\u201313, 2012, Proceedings, Part III, Chapter. Weighted attribute combinations based similarity measures. Springer, Berlin, pp 211\u2013220"},{"key":"3724_CR3","first-page":"474","volume":"66","author":"C Bertoluzza","year":"2004","unstructured":"Bertoluzza C, Di Bacco M, Doldi V (2004) An axiomatic characterization of the measures of similarity. Sankhya 66:474\u2013486","journal-title":"Sankhya"},{"key":"3724_CR4","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1016\/S0020-0255(03)00076-8","volume":"152","author":"KR Bhutani","year":"2003","unstructured":"Bhutani KR, Rosenfeld A (2003) Dissimilarity measures between fuzzy sets or fuzzy structures. Inf Sci 152:313\u2013318","journal-title":"Inf Sci"},{"key":"3724_CR5","doi-asserted-by":"crossref","unstructured":"Boriah S, Chandola V, Kumar V (2008) Similarity measures for categorical data: a comparative evaluation. In: Proceedings of the 8th SIAM international conference on data mining, SIAM, pp 243\u2013254","DOI":"10.1137\/1.9781611972788.22"},{"key":"3724_CR6","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1016\/0165-0114(96)00067-X","volume":"84","author":"B Bouchon-Meunier","year":"1996","unstructured":"Bouchon-Meunier B, Rifqi M, Bothorel S (1996) Towards general measures of comparison of objects. Fuzzy Sets Syst 84:143\u2013153","journal-title":"Fuzzy Sets Syst"},{"key":"3724_CR7","doi-asserted-by":"crossref","unstructured":"Bouchon-Meunier B, Rifqi M, Lesot MJ (2008) Similarities in fuzzy data mining: from a cognitive view to real-world applications. In Zurada J, Yen G, Wang J (eds) Computational intelligence: research frontiers. WCCI 2008, vol 5050. Springer, LNCS, pp 349\u2013367","DOI":"10.1007\/978-3-540-68860-0_17"},{"key":"3724_CR8","doi-asserted-by":"crossref","unstructured":"Bouchon-Meunier B, Coletti G, Lesot MJ, Rifqi M (2009) Towards a conscious choice of a similarity measure: a qualitative point of view. In: Sossai C, Ghemello G (eds) Symbolic and quantitative approaches to reasoning with uncertainty: Ecsqaru 2009 proceedings, vol 5590. Springer, LNAI, pp 542\u2013553","DOI":"10.1007\/978-3-642-02906-6_47"},{"key":"3724_CR9","doi-asserted-by":"crossref","unstructured":"Bouchon-Meunier B, Coletti G, Lesot MJ, Rifqi M (2010) Towards a conscious choice of a fuzzy similarity measure: a qualitative point of view. In: Hllermeier E, Kruse R, Hoffmann F (eds) Computational intelligence for knowledge-based system design: IPMU 2010 proceedings, vol 6178. Springer, LNAI, pp 1\u201310","DOI":"10.1007\/978-3-642-14049-5_1"},{"issue":"1","key":"3724_CR10","first-page":"43","volume":"8","author":"S-S Choi","year":"2010","unstructured":"Choi S-S, Cha S-H, Tappert CC (2010) A survey of binary similarity and distance measures. J Syst Cybern Inf 8(1):43\u201348","journal-title":"J Syst Cybern Inf"},{"key":"3724_CR11","doi-asserted-by":"crossref","unstructured":"Coletti G, Bouchon-Meunier B (2018) A study of similarity measures through the paradigm of measurement theory: the fuzzy case. SoftComputing (submitted)","DOI":"10.1007\/s00500-018-03724-3"},{"key":"3724_CR12","first-page":"121","volume":"XLVII","author":"G Coletti","year":"1989","unstructured":"Coletti G, Di Bacco M (1989) Qualitative characterization of a dissimilarity and concentration index. Metron XLVII:121\u2013130","journal-title":"Metron"},{"key":"3724_CR13","doi-asserted-by":"crossref","unstructured":"Coletti G, Petturiti D, Vantaggi B (2017) Fuzzy weighted attribute combinations based similarity measures. In: Proceedings of ECSQARU 2017 (Symbolic and quantitative approaches to reasoning with uncertainty), vol 10369. LNCS, pp 364\u2013374","DOI":"10.1007\/978-3-319-61581-3_33"},{"key":"3724_CR14","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1016\/j.ins.2012.11.012","volume":"229","author":"I Couso","year":"2013","unstructured":"Couso I, Garrido L, S\u00e0nchez L (2013) Similarity and dissimilarity measures between fuzzy sets: a formal relational study. Inf Sci 229:122\u2013141","journal-title":"Inf Sci"},{"key":"3724_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-1793-5","volume-title":"Similarity and compatibility in fuzzy set theory: assessment and applications. Studies in fuzziness and soft computing","author":"VV Cross","year":"2002","unstructured":"Cross VV, Sudkamp TA (2002) Similarity and compatibility in fuzzy set theory: assessment and applications. Studies in fuzziness and soft computing, vol 93. Springer, Berlin"},{"key":"3724_CR16","doi-asserted-by":"publisher","first-page":"297","DOI":"10.2307\/1932409","volume":"26","author":"LR Dice","year":"1945","unstructured":"Dice LR (1945) Measures of the amount of ecological association between species. Ecology 26:297\u2013302","journal-title":"Ecology"},{"key":"3724_CR17","doi-asserted-by":"publisher","first-page":"801","DOI":"10.1136\/bjsports-2014-093561","volume":"48","author":"J Dvoraki","year":"2014","unstructured":"Dvoraki J, Baume N, Botr\u00e9 Bros\u00e9us J, Budgett R, Frey WO, Geyer H, Harcourt PR, Ho D, Howman D, Isola V, Lundby C, Marclay F, Peytavin A, Pipe A, Pitsiladis YP, Reichel C, Robinson N, Rodchenkov G, Saugy M, Sayegh S, Segura J, Thevis M, Vernec A, Viret M, Vouillamoz M, Zorzoli M (2014) Time for change: a roadmap to guide the implementation of the World Anti-Doping Code 2015. Br J Sports Med: BJSM 48:801\u2013806","journal-title":"Br J Sports Med: BJSM"},{"issue":"2","key":"3724_CR18","doi-asserted-by":"publisher","first-page":"515","DOI":"10.1118\/1.1851892","volume":"32","author":"P Filev","year":"2005","unstructured":"Filev P, Hadjiiski L, Sahiner B, Chan HP, Helvie MA (2005) Comparison of similarity measures for the task of template matching of masses on serial mammograms. Med Phys 32(2):515\u2013529","journal-title":"Med Phys"},{"key":"3724_CR19","doi-asserted-by":"publisher","first-page":"605","DOI":"10.2307\/2946694","volume":"110","author":"I Gilboa","year":"1995","unstructured":"Gilboa I, Schmeidler D (1995) Case-based decision theory. Q J Econ 110:605\u2013639","journal-title":"Q J Econ"},{"key":"3724_CR20","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1007\/BF01213442","volume":"9","author":"I Gilboa","year":"1997","unstructured":"Gilboa I, Schmeidler D (1997) Act similarity in case-based decision theory. Econ Theory 9:47\u201361","journal-title":"Econ Theory"},{"issue":"1","key":"3724_CR21","first-page":"124","volume":"162","author":"I Gilboa","year":"2006","unstructured":"Gilboa I, Lieberman O, Schmeidler D (2006) A similarity-based approach to prediction. Rev Econ Stat 162(1):124\u2013131","journal-title":"Rev Econ Stat"},{"key":"3724_CR22","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0004-3702(03)00013-4","volume":"146","author":"V Ha","year":"2003","unstructured":"Ha V, Haddawy P (2003) Similarity of personal preferences: theoretical foundations and empirical analysis. Artif Intell 146:149\u2013173","journal-title":"Artif Intell"},{"volume-title":"Similarity and categorization","year":"2001","key":"3724_CR23","unstructured":"Hahn U, Ramscar M (eds) (2001) Similarity and categorization. Oxford University Press, Oxford"},{"key":"3724_CR24","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.ins.2011.11.029","volume":"189","author":"CM Hwang","year":"2012","unstructured":"Hwang CM, Yang MS, Hung WL, Lee MG (2012) A similarity measure of intuitionistic fuzzy sets based on the Sugeno integral with its application to pattern recognition. Inf Sci 189:93\u2013109","journal-title":"Inf Sci"},{"key":"3724_CR25","first-page":"223","volume":"44","author":"P Jaccard","year":"1908","unstructured":"Jaccard P (1908) Nouvelles recherches sur la distribution florale. Bull Soc Vaud Sci Nat 44:223\u2013270","journal-title":"Bull Soc Vaud Sci Nat"},{"key":"3724_CR26","volume-title":"Foundations of measurement","author":"D Krantz","year":"1971","unstructured":"Krantz D, Luce R, Suppes P, Tversky A (1971) Foundations of measurement, vol I. Academic Press, New York"},{"key":"3724_CR27","unstructured":"Lesot MJ, Rifqi M (2010) Order-based equivalence degrees for similarity and distance measures. In: Hllermeier E, Kruse R, Hoffmann F (eds) Computational intelligence for knowledge-based systems design. IPMU 2010, vol 6178. Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, pp 19\u201328"},{"key":"3724_CR28","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1504\/IJKESDP.2009.021985","volume":"1","author":"MJ Lesot","year":"2009","unstructured":"Lesot MJ, Rifqi M, Benhadda H (2009) Similarity measures for binary and numerical data: a survey. Int J Knowl Eng Soft Data Paradig (KESDP) 1:63\u201384","journal-title":"Int J Knowl Eng Soft Data Paradig (KESDP)"},{"key":"3724_CR29","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.fss.2013.03.008","volume":"234","author":"Y Li","year":"2014","unstructured":"Li Y, Qin K, He X (2014) Some new approaches to constructing similarity measures. Fuzzy Sets Syst 234:46\u201360","journal-title":"Fuzzy Sets Syst"},{"key":"3724_CR30","doi-asserted-by":"publisher","first-page":"404","DOI":"10.1016\/0022-2496(74)90030-3","volume":"11","author":"L Narens","year":"1974","unstructured":"Narens L (1974) Minimal conditions for additive conjoint measurement and qualitative probability. J Math Psychol 11:404\u2013430","journal-title":"J Math Psychol"},{"key":"3724_CR31","doi-asserted-by":"publisher","first-page":"526","DOI":"10.2331\/suisan.22.526","volume":"22","author":"A Ochiai","year":"1957","unstructured":"Ochiai A (1957) Zoogeographic studies on the soleoid fishes found in Japan and its neighbouring regions. Bull Jpn Soc Sci Fish 22:526\u201330","journal-title":"Bull Jpn Soc Sci Fish"},{"key":"3724_CR32","series-title":"Advances in computer vision and pattern recognition","volume-title":"Similarity-based pattern analysis and recognition","year":"2013","unstructured":"Pelillo M (ed) (2013) Similarity-based pattern analysis and recognition. Advances in computer vision and pattern recognition. Springer, London"},{"key":"3724_CR33","doi-asserted-by":"crossref","unstructured":"Penney GP, Weese J, Little JA, Desmedt P, Hill DLG, Hawkes DJ (1998) A comparison of similarity measures for use in 2-D-3-D medical image registration. In: Proceedings of MICCAI 1998: medical image computing and computer-assisted intervention MICCAI98, vol. 1496. LNCS, pp 1153\u20131161","DOI":"10.1109\/42.730403"},{"key":"3724_CR34","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1109\/MIS.2006.38","volume":"21","author":"E Rissland","year":"2006","unstructured":"Rissland E (2006) AI and similarity. IEEE Intell Syst 21:33\u201349","journal-title":"IEEE Intell Syst"},{"key":"3724_CR35","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1126\/science.132.3434.1115","volume":"132","author":"DJ Rogers","year":"1960","unstructured":"Rogers DJ, Tanimoto TT (1960) A computer program for classifying plants. Science 132:1115\u20131118","journal-title":"Science"},{"key":"3724_CR36","first-page":"1409","volume":"38","author":"RR Sokal","year":"1958","unstructured":"Sokal RR, Michener C (1958) A statistical method for evaluating systematic relationships. Univ Kansas Sci Bull 38:1409\u20131438","journal-title":"Univ Kansas Sci Bull"},{"key":"3724_CR37","volume-title":"Priciples of numerical taxonomy","author":"RR Sokal","year":"1963","unstructured":"Sokal RR, Sneath PHA (1963) Priciples of numerical taxonomy. W.H. Freeman, San Francisco"},{"key":"3724_CR38","first-page":"1","volume":"5","author":"T Sorensen","year":"1948","unstructured":"Sorensen T (1948) A method of establishing groups of equal amplitude in plant sociology based on similarity of species content and its application to analyses of the vegetation on Danish commons. K Dan Vidensk Selsk Biol Skr 5:1\u201334","journal-title":"K Dan Vidensk Selsk Biol Skr"},{"issue":"3","key":"3724_CR39","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1016\/j.cognition.2008.07.003","volume":"106","author":"S Simmons","year":"2008","unstructured":"Simmons S, Estes Z (2008) Individual differences in the perception of similarity and difference. Cognition 106(3):781\u2013795","journal-title":"Cognition"},{"key":"3724_CR40","volume-title":"Foundations of measurement","author":"P Suppes","year":"1989","unstructured":"Suppes P, Krantz D, Luce R, Tversky A (1989) Foundations of measurement, vol II. Academic Press, New York"},{"key":"3724_CR41","unstructured":"Toussaint GT (2004) A comparison of rhythmic similarity measures. In: Proceedings 5th international conference on music information retrieval"},{"key":"3724_CR42","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1037\/0033-295X.84.4.327","volume":"84","author":"A Tversky","year":"1977","unstructured":"Tversky A (1977) Features of similarity. Psychol Rev 84:327\u2013352","journal-title":"Psychol Rev"},{"key":"3724_CR43","unstructured":"WADA https:\/\/www.wada-ama.org\/en\/resources\/the-code\/world-anti-doping-code"},{"key":"3724_CR44","doi-asserted-by":"publisher","unstructured":"Zhang Z, Huang K, Tan T (2006) Comparison of similarity measures for trajectory clustering in outdoor surveillance scenes. In: Proceedings of 18th international conference on pattern recognition (ICPR\u201906). IEEE. https:\/\/doi.org\/10.1109\/ICPR.2006.392","DOI":"10.1109\/ICPR.2006.392"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-03724-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-018-03724-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-03724-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T15:34:52Z","timestamp":1662737692000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-018-03724-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,2]]},"references-count":44,"journal-issue":{"issue":"16","published-print":{"date-parts":[[2019,8]]}},"alternative-id":["3724"],"URL":"https:\/\/doi.org\/10.1007\/s00500-018-03724-3","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"type":"print","value":"1432-7643"},{"type":"electronic","value":"1433-7479"}],"subject":[],"published":{"date-parts":[[2019,1,2]]},"assertion":[{"value":"2 January 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}