{"id":"https://openalex.org/W2112338729","doi":"https://doi.org/10.1080/03081070512331325204","title":"Modeling of extremal fuzzy dynamic systems. Part III. Modeling of extremal and controllable extremal fuzzy processes","display_name":"Modeling of extremal fuzzy dynamic systems. Part III. Modeling of extremal and controllable extremal fuzzy processes","publication_year":2004,"publication_date":"2004-12-28","ids":{"openalex":"https://openalex.org/W2112338729","doi":"https://doi.org/10.1080/03081070512331325204","mag":"2112338729"},"language":"en","primary_location":{"id":"doi:10.1080/03081070512331325204","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081070512331325204","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General Systems","raw_type":"journal-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/A5081617835","display_name":"Gia Sirbiladze","orcid":"https://orcid.org/0000-0002-5279-7571"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"G. Sirbiladze","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5081617835"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9271,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.77346235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"34","issue":"2","first_page":"169","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9876000285148621,"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9710000157356262,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7628476619720459},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6631883382797241},{"id":"https://openalex.org/keywords/ergodicity","display_name":"Ergodicity","score":0.6396070122718811},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.515182375907898},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.4696568548679352},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.46050095558166504},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.4514845013618469},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.4390339255332947},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3794877529144287},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3729676604270935},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3631783127784729},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2575795650482178},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20008882880210876},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1487126648426056},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.125820130109787}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7628476619720459},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6631883382797241},{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.6396070122718811},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.515182375907898},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.4696568548679352},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.46050095558166504},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.4514845013618469},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.4390339255332947},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3794877529144287},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3729676604270935},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3631783127784729},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2575795650482178},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20008882880210876},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1487126648426056},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.125820130109787}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03081070512331325204","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081070512331325204","pdf_url":null,"source":{"id":"https://openalex.org/S145553572","display_name":"International Journal of General Systems","issn_l":"0308-1079","issn":["0308-1079","1026-7492","1563-5104"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of General Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1481142035","https://openalex.org/W1570082825","https://openalex.org/W1965955764","https://openalex.org/W1976653165","https://openalex.org/W1981428226","https://openalex.org/W1985078508","https://openalex.org/W1995580872","https://openalex.org/W1997679081","https://openalex.org/W2008960845","https://openalex.org/W2024857351","https://openalex.org/W2036879115","https://openalex.org/W2037912313","https://openalex.org/W2062173668","https://openalex.org/W2072377255","https://openalex.org/W2073296216","https://openalex.org/W2082192492","https://openalex.org/W2093210710","https://openalex.org/W2171715801","https://openalex.org/W2496900686","https://openalex.org/W4211153813","https://openalex.org/W4214637188","https://openalex.org/W4230124726","https://openalex.org/W4232156718","https://openalex.org/W4292158025"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2036087998","https://openalex.org/W2048452567","https://openalex.org/W4242545108","https://openalex.org/W2122919791","https://openalex.org/W2116819400","https://openalex.org/W2088978098","https://openalex.org/W2092290989","https://openalex.org/W2075305841","https://openalex.org/W2365416574"],"abstract_inverted_index":{"New":[0],"approaches":[1],"in":[2],"modeling":[3],"the":[4,14,26,56,63],"so-called":[5],"extremal":[6,31,41,69],"fuzzy":[7,21,32,42,70],"dynamic":[8],"systems":[9],"(EFDSs)":[10],"are":[11,35,45,60,80],"developed.":[12],"Applying":[13],"results":[15],"of":[16,28,39,49,58,65],"Parts":[17],"I":[18],"and":[19,72],"II,":[20],"processes":[22,43],"with":[23],"possibilistic":[24],"uncertainty,":[25],"source":[27],"which":[29],"is":[30,51],"time":[33],"intervals,":[34],"constructed.":[36],"Fuzzy-integral":[37],"representations":[38],"controllable":[40],"(CEFPs)":[44],"given.":[46],"The":[47],"dynamics":[48],"EFDSs":[50,59],"described.":[52],"Questions":[53],"as":[54],"to":[55,85],"ergodicity":[57],"considered,":[61],"using":[62],"properties":[64],"both":[66],"extended":[67],"composition":[68],"measures":[71],"-compositions":[73],"over":[74],"them":[75],"(Part":[76],"II).":[77],"Sufficient":[78],"conditions":[79],"proved":[81],"for":[82],"stationary":[83],"CEFPs":[84],"be":[86],"ergodic.":[87]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":11}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}