{"id":"https://openalex.org/W4409205127","doi":"https://doi.org/10.14736/kyb-2025-1-0079","title":"A generalization for the mean-square derivative of the fuzzy stochastic processes and some properties","display_name":"A generalization for the mean-square derivative of the fuzzy stochastic processes and some properties","publication_year":2025,"publication_date":"2025-04-06","ids":{"openalex":"https://openalex.org/W4409205127","doi":"https://doi.org/10.14736/kyb-2025-1-0079"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2025-1-0079","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2025-1-0079","pdf_url":"https://www.kybernetika.cz/content/2025/1/79/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.kybernetika.cz/content/2025/1/79/paper.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5117012941","display_name":"Hadi Amirnia","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hadi Amirnia","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5058548809","display_name":"A. Khastan","orcid":"https://orcid.org/0000-0003-3243-4965"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alireza Khastan","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5117012941"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07053325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"79","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9032999873161316,"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":0.9032999873161316,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7625043392181396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6532236933708191},{"id":"https://openalex.org/keywords/mean-square","display_name":"Mean square","score":0.6163602471351624},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.5390673279762268},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5330784320831299},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49027207493782043},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.44933199882507324},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3356574475765228},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.265133798122406},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15609332919120789},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.126235693693161},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.11403077840805054}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7625043392181396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6532236933708191},{"id":"https://openalex.org/C2988709989","wikidata":"https://www.wikidata.org/wiki/Q85784623","display_name":"Mean square","level":2,"score":0.6163602471351624},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.5390673279762268},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5330784320831299},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49027207493782043},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.44933199882507324},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3356574475765228},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.265133798122406},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15609332919120789},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.126235693693161},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.11403077840805054},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14736/kyb-2025-1-0079","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2025-1-0079","pdf_url":"https://www.kybernetika.cz/content/2025/1/79/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},{"id":"pmh:oai:oai.dml.cz:10338.dmlcz/152926","is_oa":true,"landing_page_url":"http://hdl.handle.net/10338.dmlcz/152926","pdf_url":"http://dml.cz/bitstream/handle/10338.dmlcz/152926/Kybernetika_61-2025-1_5.pdf","source":{"id":"https://openalex.org/S4406922294","display_name":"Czech digital mathematics library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text:not_categorized"}],"best_oa_location":{"id":"doi:10.14736/kyb-2025-1-0079","is_oa":true,"landing_page_url":"https://doi.org/10.14736/kyb-2025-1-0079","pdf_url":"https://www.kybernetika.cz/content/2025/1/79/paper.pdf","source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409205127.pdf","grobid_xml":"https://content.openalex.org/works/W4409205127.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1965955764","https://openalex.org/W1968670428","https://openalex.org/W1972679592","https://openalex.org/W1974534311","https://openalex.org/W1977914365","https://openalex.org/W1994123225","https://openalex.org/W1994178762","https://openalex.org/W2022135193","https://openalex.org/W2026093306","https://openalex.org/W2034038007","https://openalex.org/W2044164691","https://openalex.org/W2061177395","https://openalex.org/W2061839822","https://openalex.org/W2070545443","https://openalex.org/W2076628063","https://openalex.org/W2081234056","https://openalex.org/W2082192492","https://openalex.org/W2089021392","https://openalex.org/W2089624753","https://openalex.org/W2939107207","https://openalex.org/W3153599949","https://openalex.org/W4246362589","https://openalex.org/W4255968818","https://openalex.org/W4295190265","https://openalex.org/W4400923144"],"related_works":["https://openalex.org/W3162204513","https://openalex.org/W2371138613","https://openalex.org/W2048963458","https://openalex.org/W43109613","https://openalex.org/W2359952343","https://openalex.org/W2239445980","https://openalex.org/W2080152487","https://openalex.org/W3083152911","https://openalex.org/W3022347918","https://openalex.org/W2902606351"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2],"this":[3],"paper":[4],"is":[5],"to":[6],"generalize":[7],"and":[8,17,21],"develop":[9],"a":[10],"mean-square":[11],"calculus":[12],"for":[13,25],"fuzzy":[14,27],"stochastic":[15,28],"processes":[16,29],"study":[18],"their":[19],"differentiability":[20],"integrability":[22],"properties.Some":[23],"results":[24],"second-order":[26],"are":[30],"presented.":[31]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
