{"id":"https://openalex.org/W2007696012","doi":"https://doi.org/10.1109/fuzzy.1999.793232","title":"The convexity of the set of all fuzzy implications: a systematic way of deriving potential fuzzy implications","display_name":"The convexity of the set of all fuzzy implications: a systematic way of deriving potential fuzzy implications","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2007696012","doi":"https://doi.org/10.1109/fuzzy.1999.793232","mag":"2007696012"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.1999.793232","doi":"https://doi.org/10.1109/fuzzy.1999.793232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.1999.793232","pdf_url":null,"source":{"id":"https://openalex.org/S4210187232","display_name":"IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","issn_l":"1098-7584","issn":["1098-7584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5016442778","display_name":"N. Hallam","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I137407579","display_name":"Universit\u00e9 Oran 1 Ahmed Ben Bella","ror":"https://ror.org/059et2b68","country_code":"DZ","type":"education","lineage":["https://openalex.org/I137407579"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"N.E. Hallam","raw_affiliation_strings":["Institut d'Informatique, Universit\u00e9 d'Oran, Oran, Algeria","Inst. d'Inf., Oran Univ., Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut d'Informatique, Universit\u00e9 d'Oran, Oran, Algeria","institution_ids":["https://openalex.org/I137407579"]},{"raw_affiliation_string":"Inst. d'Inf., Oran Univ., Algeria","institution_ids":["https://openalex.org/I137407579"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016442778"],"corresponding_institution_ids":["https://openalex.org/I137407579"],"apc_list":null,"apc_paid":null,"fwci":0.2878,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.38928769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"184","last_page":"189 vol.1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":9.999999747378752e-05,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":9.999999747378752e-05,"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/fuzzy-implications","display_name":"fuzzy implications","score":0.9980000257492065},{"id":"https://openalex.org/keywords/inference-rules","display_name":"inference rules","score":0.8849999904632568}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.7557693719863892},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6878050565719604},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.6467168927192688},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.6447453498840332},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6139533519744873},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.603540301322937},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6013951301574707},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5774123072624207},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5510976910591125},{"id":"https://openalex.org/C144170203","wikidata":"https://www.wikidata.org/wiki/Q5511099","display_name":"Fuzzy associative matrix","level":5,"score":0.5275055170059204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4598333537578583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45783236622810364},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4323105216026306},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.42195767164230347},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4180283546447754},{"id":"https://openalex.org/C2986395286","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy inference","level":5,"score":0.4113163948059082},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3759322166442871},{"id":"https://openalex.org/C186108316","wikidata":"https://www.wikidata.org/wiki/Q352530","display_name":"Adaptive neuro fuzzy inference system","level":4,"score":0.31718993186950684},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.2793920636177063},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07308059930801392},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.07084441184997559},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.1999.793232","doi":"https://doi.org/10.1109/fuzzy.1999.793232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.1999.793232","pdf_url":null,"source":{"id":"https://openalex.org/S4210187232","display_name":"IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","issn_l":"1098-7584","issn":["1098-7584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["norway-1"],"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W634113983","https://openalex.org/W1485846750","https://openalex.org/W1898259180","https://openalex.org/W2069687967","https://openalex.org/W2114914205","https://openalex.org/W4205471131"],"related_works":["https://openalex.org/W4412091656","https://openalex.org/W7215748870","https://openalex.org/W2999115023","https://openalex.org/W2124956020","https://openalex.org/W1968443992","https://openalex.org/W96735427","https://openalex.org/W2273107802","https://openalex.org/W4404040752","https://openalex.org/W2344357145","https://openalex.org/W109113696"],"abstract_inverted_index":{"The":[0,49],"pseudo-strict":[1],"monotonicity":[2],"property,":[3],"a":[4,40,65],"very":[5],"important":[6],"property":[7],"that":[8,43],"most":[9],"of":[10,24,29,51,55,58],"the":[11,27,52,56,79],"fuzzy":[12,30,60,74],"logic":[13,31],"connectives":[14],"fail":[15],"to":[16],"have,":[17],"has":[18],"been":[19],"derived":[20],"from":[21],"its":[22],"part":[23],"right":[25],"in":[26],"realm":[28],"research.":[32],"It":[33],"is":[34,62],"extensively":[35],"discussed":[36],"and":[37,67,76],"proposed":[38,63],"as":[39,64],"compulsory":[41],"requirement":[42],"any":[44],"inference":[45],"rule":[46],"should":[47],"fulfil.":[48],"concept":[50],"convexity":[53],"principle":[54],"set":[57],"all":[59],"implications":[61,75],"theoretical":[66],"practical":[68],"framework":[69],"for":[70,77],"generating":[71],"other":[72],"potential":[73],"predicting":[78],"properties":[80],"they":[81],"exhibit.":[82]},"counts_by_year":[],"updated_date":"2026-10-26T11:51:55.731654","created_date":"2016-06-24T00:00:00"}