{"id":"https://openalex.org/W2133904302","doi":"https://doi.org/10.1080/03081070512331325213","title":"Modeling of extremal fuzzy dynamic systems. Part II. Extended extremal fuzzy measures on composition products of measurable spaces","display_name":"Modeling of extremal fuzzy dynamic systems. Part II. Extended extremal fuzzy measures on composition products of measurable spaces","publication_year":2004,"publication_date":"2004-12-28","ids":{"openalex":"https://openalex.org/W2133904302","doi":"https://doi.org/10.1080/03081070512331325213","mag":"2133904302"},"language":"en","primary_location":{"id":"doi:10.1080/03081070512331325213","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081070512331325213","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":1.1708,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.7763438,"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":"139","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9782000184059143,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9758999943733215,"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-logic","display_name":"Fuzzy logic","score":0.7076939940452576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7062948942184448},{"id":"https://openalex.org/keywords/composition","display_name":"Composition (language)","score":0.5933297276496887},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.49758532643318176},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.46580225229263306},{"id":"https://openalex.org/keywords/fuzzy-subalgebra","display_name":"Fuzzy subalgebra","score":0.44502872228622437},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4439904987812042},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4283008873462677},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4275829792022705},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4269484281539917},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4242396056652069},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3927445709705353},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3462323248386383},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2633510231971741},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16667065024375916},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12073704600334167},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.0670086145401001}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7076939940452576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7062948942184448},{"id":"https://openalex.org/C40231798","wikidata":"https://www.wikidata.org/wiki/Q1333743","display_name":"Composition (language)","level":2,"score":0.5933297276496887},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.49758532643318176},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46580225229263306},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.44502872228622437},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4439904987812042},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4283008873462677},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4275829792022705},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4269484281539917},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4242396056652069},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3927445709705353},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3462323248386383},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2633510231971741},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16667065024375916},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12073704600334167},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0670086145401001},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/03081070512331325213","is_oa":false,"landing_page_url":"https://doi.org/10.1080/03081070512331325213","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":11,"referenced_works":["https://openalex.org/W69607722","https://openalex.org/W657067832","https://openalex.org/W1484881229","https://openalex.org/W1981428226","https://openalex.org/W2022395401","https://openalex.org/W2073296216","https://openalex.org/W2095371287","https://openalex.org/W2782519984","https://openalex.org/W4211153813","https://openalex.org/W4214637188","https://openalex.org/W4241497134"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W4242545108","https://openalex.org/W2048452567","https://openalex.org/W2116819400","https://openalex.org/W2466052371","https://openalex.org/W2088978098","https://openalex.org/W2586653035","https://openalex.org/W1996900481","https://openalex.org/W1489009679","https://openalex.org/W2141926946"],"abstract_inverted_index":{"This":[0],"paper":[1],"continues":[2],"the":[3,19,49,54,59],"investigation":[4],"of":[5,22,29,36,48,58,62],"extremal":[6,24,39,64],"fuzzy":[7,25,40,60,65],"measures":[8,41],"and":[9,44],"their":[10,30],"extensions":[11],"started":[12],"in":[13],"Part":[14],"I.":[15],"Here,":[16],"we":[17],"consider":[18],"basic":[20],"properties":[21,47],"composition":[23],"measures.":[26],"Several":[27],"variants":[28],"representations":[31],"are":[32,68],"given.":[33],"The":[34],"notion":[35],"H-composition":[37],"over":[38],"is":[42],"introduced,":[43],"some":[45],"algebraic":[46],"corresponding":[50],"structures,":[51],"which":[52],"forms":[53],"most":[55],"important":[56],"part":[57],"instrument":[61],"modeling":[63],"dynamic":[66],"systems,":[67],"discussed.":[69]},"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"}