{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T11:06:15Z","timestamp":1777633575309,"version":"3.51.4"},"publisher-location":"Cham","reference-count":20,"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_31","type":"book-chapter","created":{"date-parts":[[2023,8,20]],"date-time":"2023-08-20T16:01:37Z","timestamp":1692547297000},"page":"369-380","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["From Graded Aristotle\u2019s Hexagon to Graded Peterson\u2019s Hexagon of Opposition in Fuzzy Natural Logic"],"prefix":"10.1007","author":[{"given":"Petra","family":"Murinov\u00e1","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stefania","family":"Boffa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,8,21]]},"reference":[{"key":"31_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9934-4","volume-title":"An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof","author":"P Andrews","year":"2002","unstructured":"Andrews, P.: An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof. Kluwer, Dordrecht (2002)"},{"key":"31_CR2","first-page":"218","volume":"10","author":"J B\u00e9ziau","year":"2003","unstructured":"B\u00e9ziau, J.: New light on the square of oppositions and its nameless corner. Log. Investig. 10, 218\u2013233 (2003)","journal-title":"Log. Investig."},{"issue":"1\u20132","key":"31_CR3","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11787-012-0046-9","volume":"6","author":"J B\u00e9ziau","year":"2012","unstructured":"B\u00e9ziau, J.: The power of the hexagon. Log. Univers. 6(1\u20132), 1\u201343 (2012)","journal-title":"Log. Univers."},{"key":"31_CR4","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.ijar.2021.02.007","volume":"132","author":"S Boffa","year":"2021","unstructured":"Boffa, S., Murinov\u00e1, P., Nov\u00e1k, V.: Graded polygons of opposition in fuzzy formal concept analysis. Int. J. Approx. Reason. 132, 128\u2013153 (2021)","journal-title":"Int. J. Approx. Reason."},{"key":"31_CR5","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-9480-6","volume-title":"Algebraic Foundations of Many-valued Reasoning","author":"RLO Cignoli","year":"2000","unstructured":"Cignoli, R.L.O., D\u2019Ottaviano, I.M.L., Mundici, D.: Algebraic Foundations of Many-valued Reasoning. Kluwer, Dordrecht (2000)"},{"key":"31_CR6","unstructured":"Moretti, A.: The geometry of logical oppositions and the opposition of logic to it. In: Bianchi, I., Savaradi, U. (eds.) The Perception and Cognition of Contraries, pp. 20\u201360 (2009)"},{"key":"31_CR7","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.fss.2013.05.006","volume":"242","author":"P Murinov\u00e1","year":"2014","unstructured":"Murinov\u00e1, P., Nov\u00e1k, V.: Analysis of generalized square of opposition with intermediate quantifiers. Fuzzy Sets Syst. 242, 89\u2013113 (2014)","journal-title":"Fuzzy Sets Syst."},{"key":"31_CR8","first-page":"36","volume":"611","author":"P Murinov\u00e1","year":"2016","unstructured":"Murinov\u00e1, P., Nov\u00e1k, V.: Graded generalized hexagon in fuzzy natural logic. Inf. Process. Manag. Uncertain. Knowl.-Based Syst. 611, 36\u201347 (2016)","journal-title":"Inf. Process. Manag. Uncertain. Knowl.-Based Syst."},{"key":"31_CR9","doi-asserted-by":"crossref","unstructured":"Murinov\u00e1, P., Nov\u00e1k, V.: The theory of intermediate quantifiers in fuzzy natural logic revisited and the model of \u201cmany.\u201d Fuzzy Sets Syst. 388, 56\u201389 (2020)","DOI":"10.1016\/j.fss.2019.12.010"},{"key":"31_CR10","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1016\/j.fss.2004.03.027","volume":"149","author":"V Nov\u00e1k","year":"2005","unstructured":"Nov\u00e1k, V.: On fuzzy type theory. Fuzzy Sets Syst. 149, 235\u2013273 (2005)","journal-title":"Fuzzy Sets Syst."},{"issue":"22","key":"31_CR11","doi-asserted-by":"publisher","first-page":"2939","DOI":"10.1016\/j.fss.2008.02.023","volume":"159","author":"V Nov\u00e1k","year":"2008","unstructured":"Nov\u00e1k, V.: A comprehensive theory of trichotomous evaluative linguistic expressions. Fuzzy Sets Syst. 159(22), 2939\u20132969 (2008)","journal-title":"Fuzzy Sets Syst."},{"issue":"10","key":"31_CR12","doi-asserted-by":"publisher","first-page":"1229","DOI":"10.1016\/j.fss.2007.12.008","volume":"159","author":"V Nov\u00e1k","year":"2008","unstructured":"Nov\u00e1k, V.: A formal theory of intermediate quantifiers. Fuzzy Sets Syst. 159(10), 1229\u20131246 (2008)","journal-title":"Fuzzy Sets Syst."},{"key":"31_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5217-8","volume-title":"Mathematical Principles of Fuzzy Logic","author":"V Nov\u00e1k","year":"1999","unstructured":"Nov\u00e1k, V., Perfilieva, I., Mo\u010dko\u0159, J.: Mathematical Principles of Fuzzy Logic. Kluwer, Boston (1999)"},{"key":"31_CR14","doi-asserted-by":"crossref","unstructured":"Pellissier, R.: Setting n-opposition (2008)","DOI":"10.1007\/s11787-008-0038-y"},{"key":"31_CR15","volume-title":"Quantifiers in Language and Logic","author":"S Peters","year":"2006","unstructured":"Peters, S., Westerst\u00e5hl, D.: Quantifiers in Language and Logic. Claredon Press, Oxford (2006)"},{"key":"31_CR16","unstructured":"Peterson, P.: Intermediate Quantifiers. Logic, Linguistics, and Aristotelian Semantics. Ashgate, Aldershot (2000)"},{"key":"31_CR17","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1007\/s11787-011-0031-8","volume":"6","author":"H Smesaert","year":"2012","unstructured":"Smesaert, H.: The classical aristotelian hexagon versus the modern duality hexagon. Log. Univers. 6, 171\u2013199 (2012)","journal-title":"Log. Univers."},{"key":"31_CR18","doi-asserted-by":"crossref","unstructured":"Thompson, B.E.: Syllogisms using \u201cfew\u201d, \u201cmany\u201d and \u201cmost.\u201d Notre Dame J. Form. Log. 23, 75\u201384 (1982)","DOI":"10.1305\/ndjfl\/1093883568"},{"key":"31_CR19","first-page":"1","volume":"2","author":"D Westerst\u00e5hl","year":"2008","unstructured":"Westerst\u00e5hl, D.: The traditional square of opposition and generalized quantifiers. Stud. Log. 2, 1\u201318 (2008)","journal-title":"Stud. Log."},{"key":"31_CR20","unstructured":"Wikipedia (2004). http:\/\/en.wikipedia.org\/wiki\/aristotle"}],"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_31","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,8,20]],"date-time":"2023-08-20T16:03:52Z","timestamp":1692547432000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-39965-7_31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"ISBN":["9783031399640","9783031399657"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-39965-7_31","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)"}}]}}