{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,13]],"date-time":"2026-04-13T20:46:43Z","timestamp":1776113203018,"version":"3.50.1"},"publisher-location":"Cham","reference-count":17,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031399640","type":"print"},{"value":"9783031399657","type":"electronic"}],"license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023]]},"DOI":"10.1007\/978-3-031-39965-7_37","type":"book-chapter","created":{"date-parts":[[2023,8,20]],"date-time":"2023-08-20T16:01:37Z","timestamp":1692547297000},"page":"443-454","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["A Bayesian Interpretation of Fuzzy C-Means"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8712-023X","authenticated-orcid":false,"given":"Corrado","family":"Mencar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8471-5403","authenticated-orcid":false,"given":"Ciro","family":"Castiello","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,8,21]]},"reference":[{"key":"37_CR1","doi-asserted-by":"publisher","first-page":"52138","DOI":"10.1109\/ACCESS.2018.2870052","volume":"6","author":"A Adadi","year":"2018","unstructured":"Adadi, A., Berrada, M.: Peeking inside the black-box: a survey on explainable artificial intelligence (XAI). IEEE Access 6, 52138\u201352160 (2018). https:\/\/doi.org\/10.1109\/ACCESS.2018.2870052","journal-title":"IEEE Access"},{"key":"37_CR2","series-title":"Studies in Computational Intelligence","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-71098-9","volume-title":"Explainable Fuzzy Systems","author":"JM Alonso Moral","year":"2021","unstructured":"Alonso Moral, J.M., Castiello, C., Magdalena, L., Mencar, C.: Explainable Fuzzy Systems. SCI, vol. 970. Springer, Cham (2021). https:\/\/doi.org\/10.1007\/978-3-030-71098-9"},{"issue":"5","key":"37_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/widm.1424","volume":"11","author":"PP Angelov","year":"2021","unstructured":"Angelov, P.P., Soares, E.A., Jiang, R., Arnold, N.I., Atkinson, P.M.: Explainable artificial intelligence: an analytical review. WIREs Data Min. Knowl. Discov. 11(5), 1\u201313 (2021). https:\/\/doi.org\/10.1002\/widm.1424","journal-title":"WIREs Data Min. Knowl. Discov."},{"key":"37_CR4","series-title":"Advances in Intelligent Systems and Computing","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1007\/978-981-10-8848-3_15","volume-title":"Software Engineering","author":"J Arora","year":"2019","unstructured":"Arora, J., Khatter, K., Tushir, M.: Fuzzy c-means clustering strategies: a review of distance measures. In: Hoda, M.N., Chauhan, N., Quadri, S.M.K., Srivastava, P.R. (eds.) Software Engineering. AISC, vol. 731, pp. 153\u2013162. Springer, Singapore (2019). https:\/\/doi.org\/10.1007\/978-981-10-8848-3_15"},{"key":"37_CR5","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1016\/j.inffus.2019.12.012","volume":"58","author":"A Barredo Arrieta","year":"2020","unstructured":"Barredo Arrieta, A., et al.: Explainable artificial intelligence (XAI): concepts, taxonomies, opportunities and challenges toward responsible AI. Inf. Fusion 58, 82\u2013115 (2020). https:\/\/doi.org\/10.1016\/j.inffus.2019.12.012","journal-title":"Inf. Fusion"},{"key":"37_CR6","doi-asserted-by":"publisher","unstructured":"Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Springer, New York, NY (1981). https:\/\/doi.org\/10.1007\/978-1-4757-0450-1","DOI":"10.1007\/978-1-4757-0450-1"},{"issue":"2","key":"37_CR7","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/0098-3004(84)90020-7","volume":"10","author":"JC Bezdek","year":"1984","unstructured":"Bezdek, J.C., Ehrlich, R., Full, W.: FCM: the fuzzy c-means clustering algorithm. Comput. Geosci. 10(2), 191\u2013203 (1984). https:\/\/doi.org\/10.1016\/0098-3004(84)90020-7","journal-title":"Comput. Geosci."},{"key":"37_CR8","doi-asserted-by":"publisher","first-page":"23","DOI":"10.1016\/j.ijar.2017.05.002","volume":"88","author":"MB Ferraro","year":"2017","unstructured":"Ferraro, M.B., Giordani, P.: Possibilistic and fuzzy clustering methods for robust analysis of non-precise data. Int. J. Approx. Reason. 88, 23\u201338 (2017). https:\/\/doi.org\/10.1016\/j.ijar.2017.05.002","journal-title":"Int. J. Approx. Reason."},{"issue":"5","key":"37_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3236009","volume":"51","author":"R Guidotti","year":"2018","unstructured":"Guidotti, R., Monreale, A., Ruggieri, S., Turini, F., Giannotti, F., Pedreschi, D.: A survey of methods for explaining black box models. ACM Comput. Surv. 51(5), 1\u201342 (2018). https:\/\/doi.org\/10.1145\/3236009","journal-title":"ACM Comput. Surv."},{"issue":"2","key":"37_CR10","doi-asserted-by":"publisher","first-page":"44","DOI":"10.1609\/aimag.v40i2.2850","volume":"40","author":"D Gunning","year":"2019","unstructured":"Gunning, D., Aha, D.W.: DARPA\u2019s explainable artificial intelligence (XAI) program. AI Mag. 40(2), 44\u201358 (2019). https:\/\/doi.org\/10.1609\/aimag.v40i2.2850","journal-title":"AI Mag."},{"key":"37_CR11","unstructured":"MacKay, D.J.C.: Information Theory, Inference and Learning Algorithms. Cambridge University Press, Cambridge, TAS, Australia (2003)"},{"issue":"12","key":"37_CR12","doi-asserted-by":"publisher","first-page":"3579","DOI":"10.1109\/TFUZZ.2021.3079503","volume":"29","author":"JM Mendel","year":"2021","unstructured":"Mendel, J.M., Bonissone, P.P.: Critical thinking about explainable AI (XAI) for rule-based fuzzy systems. IEEE Trans. Fuzzy Syst. 29(12), 3579\u20133593 (2021). https:\/\/doi.org\/10.1109\/TFUZZ.2021.3079503","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"37_CR13","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.artint.2018.07.007","volume":"267","author":"T Miller","year":"2019","unstructured":"Miller, T.: Explanation in artificial intelligence: insights from the social sciences. Artif. Intell. 267, 1\u201338 (2019). https:\/\/doi.org\/10.1016\/j.artint.2018.07.007","journal-title":"Artif. Intell."},{"key":"37_CR14","series-title":"Smart Innovation, Systems and Technologies","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1007\/978-81-322-2208-8_14","volume-title":"Computational Intelligence in Data Mining - Volume 2","author":"J Nayak","year":"2015","unstructured":"Nayak, J., Naik, B., Behera, H.S.: Fuzzy C-means (FCM) clustering algorithm: a decade review from 2000 to 2014. In: Jain, L.C., Behera, H.S., Mandal, J.K., Mohapatra, D.P. (eds.) Computational Intelligence in Data Mining - Volume 2. SIST, vol. 32, pp. 133\u2013149. Springer, New Delhi (2015). https:\/\/doi.org\/10.1007\/978-81-322-2208-8_14"},{"issue":"1","key":"37_CR15","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1016\/S0019-9958(69)90591-9","volume":"15","author":"E Ruspini","year":"1969","unstructured":"Ruspini, E.: A new approach to clustering. Inf. Control 15(1), 22\u201332 (1969). https:\/\/doi.org\/10.1016\/S0019-9958(69)90591-9","journal-title":"Inf. Control"},{"key":"37_CR16","doi-asserted-by":"publisher","unstructured":"Speith, T.: A review of taxonomies of explainable artificial intelligence (XAI) methods. In: 2022 ACM Conference on Fairness, Accountability, and Transparency, pp. 2239\u20132250. FAccT \u201922 (2022). https:\/\/doi.org\/10.1145\/3531146.3534639","DOI":"10.1145\/3531146.3534639"},{"issue":"1","key":"37_CR17","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1016\/j.patcog.2011.07.012","volume":"45","author":"KL Wu","year":"2012","unstructured":"Wu, K.L.: Analysis of parameter selections for fuzzy c-means. Pattern Recogn. 45(1), 407\u2013415 (2012). https:\/\/doi.org\/10.1016\/j.patcog.2011.07.012","journal-title":"Pattern Recogn."}],"container-title":["Lecture Notes in Computer Science","Fuzzy Logic and Technology, and Aggregation Operators"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-39965-7_37","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,20]],"date-time":"2023-08-20T16:04:15Z","timestamp":1692547455000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-39965-7_37"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031399640","9783031399657"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-39965-7_37","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023]]},"assertion":[{"value":"21 August 2023","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"EUSFLAT","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Conference of the European Society for Fuzzy Logic and Technology","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Palma de Mallorca","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Spain","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2023","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"4 September 2023","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 September 2023","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"eusflat2023","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.eusflat2023.eu\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"161","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"71","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"44% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}