{"id":"https://openalex.org/W1969222154","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622520","title":"Gradual Generalized Modus Ponens","display_name":"Gradual Generalized Modus Ponens","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1969222154","doi":"https://doi.org/10.1109/fuzz-ieee.2013.6622520","mag":"1969222154"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2013.6622520","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622520","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024171756","display_name":"Phuc-Nguyen Vo","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Phuc-Nguyen Vo","raw_affiliation_strings":["Laboratoire dInformatique de Paris VI, Universit\u00e9 Pierre et Marie Curie, Paris, France","Lab. d'Inf. de Paris VI, Univ. Pierre et Marie Curie, Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire dInformatique de Paris VI, Universit\u00e9 Pierre et Marie Curie, Paris, France","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Lab. d'Inf. de Paris VI, Univ. Pierre et Marie Curie, Paris, France","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065404842","display_name":"Marcin Detyniecki","orcid":"https://orcid.org/0000-0001-5669-4871"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marcin Detyniecki","raw_affiliation_strings":["Laboratoire dInformatique de Paris VI, Universit\u00e9 Pierre et Marie Curie, Paris, France","Lab. d'Inf. de Paris VI, Univ. Pierre et Marie Curie, Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire dInformatique de Paris VI, Universit\u00e9 Pierre et Marie Curie, Paris, France","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Lab. d'Inf. de Paris VI, Univ. Pierre et Marie Curie, Paris, France","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107338358","display_name":"Bernadette Bouchon\u2010Meunier","orcid":"https://orcid.org/0000-0002-7937-7796"},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernadette Bouchon-Meunier","raw_affiliation_strings":["Laboratoire dInformatique de Paris VI, Universit\u00e9 Pierre et Marie Curie, Paris, France","Lab. d'Inf. de Paris VI, Univ. Pierre et Marie Curie, Paris, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire dInformatique de Paris VI, Universit\u00e9 Pierre et Marie Curie, Paris, France","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"Lab. d'Inf. de Paris VI, Univ. Pierre et Marie Curie, Paris, France","institution_ids":["https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024171756"],"corresponding_institution_ids":["https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":0.4977,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.75012143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/modus-ponens","display_name":"Modus ponens","score":0.9903753995895386},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.6658545732498169},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6194139122962952},{"id":"https://openalex.org/keywords/normality","display_name":"Normality","score":0.604228138923645},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6004260778427124},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5619396567344666},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.514700710773468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3665868639945984},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33533427119255066},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29440075159072876},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.13717573881149292},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11886397004127502},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1024845540523529},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09962531924247742},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07599997520446777}],"concepts":[{"id":"https://openalex.org/C193885149","wikidata":"https://www.wikidata.org/wiki/Q655742","display_name":"Modus ponens","level":3,"score":0.9903753995895386},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.6658545732498169},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6194139122962952},{"id":"https://openalex.org/C2776157432","wikidata":"https://www.wikidata.org/wiki/Q1375683","display_name":"Normality","level":2,"score":0.604228138923645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6004260778427124},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5619396567344666},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.514700710773468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3665868639945984},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33533427119255066},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29440075159072876},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.13717573881149292},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11886397004127502},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1024845540523529},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09962531924247742},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07599997520446777},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz-ieee.2013.6622520","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2013.6622520","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01215188v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01215188","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The IEEE International Conference on Fuzzy Systems - FUZZ-IEEE'2013, Jul 2013, Hyderabad, India. pp.1-7, &#x27E8;10.1109/FUZZ-IEEE.2013.6622520&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1976297438","https://openalex.org/W1983561707","https://openalex.org/W2001220060","https://openalex.org/W2009390087","https://openalex.org/W2010891123","https://openalex.org/W2043578191","https://openalex.org/W2083844667","https://openalex.org/W2085386836","https://openalex.org/W2098479962","https://openalex.org/W2099735887","https://openalex.org/W2122813115","https://openalex.org/W2135746815","https://openalex.org/W2148720919","https://openalex.org/W2157041604","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4237230005"],"related_works":["https://openalex.org/W4389849086","https://openalex.org/W4281957576","https://openalex.org/W2005013113","https://openalex.org/W4401666157","https://openalex.org/W2164621095","https://openalex.org/W4292074540","https://openalex.org/W3130449832","https://openalex.org/W2952133296","https://openalex.org/W3120050151","https://openalex.org/W4295125821"],"abstract_inverted_index":{"Gradual":[0,39],"relationship":[1],"between":[2],"premises":[3],"and":[4,70],"conclusions":[5],"is":[6,83],"often":[7],"an":[8],"underlying":[9],"property":[10],"of":[11,48,51,79],"fuzzy":[12,81],"rules.":[13],"In":[14],"this":[15,34,57],"paper,":[16],"we":[17,36,54,74],"propose":[18],"to":[19,27],"integrate":[20],"the":[21,38,49,66,68,71,77,86],"gradual":[22],"hypothesis,":[23],"sometimes":[24],"called":[25],"monotonicity,":[26],"Generalized":[28,40],"Modus":[29,41],"Ponens":[30,42],"(GMP).":[31],"To":[32],"achieve":[33],"objective,":[35],"defined":[37],"(GGMP),":[43],"based":[44],"on":[45],"a":[46],"partioning":[47],"universe":[50],"discourse.":[52],"Moreover,":[53],"prove,":[55],"for":[56,65,85],"formulation,":[58],"some":[59],"major":[60],"preservation":[61],"properties,":[62],"such":[63],"as":[64],"convexity,":[67],"continuity":[69],"normality.":[72],"Finally,":[73],"show":[75],"that":[76],"ordering":[78],"different":[80],"observations":[82],"conserved":[84],"associated":[87],"conclusions.":[88]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}
