{"id":"https://openalex.org/W1983821398","doi":"https://doi.org/10.1155/2014/875319","title":"Compound Option Pricing under Fuzzy Environment","display_name":"Compound Option Pricing under Fuzzy Environment","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1983821398","doi":"https://doi.org/10.1155/2014/875319","mag":"1983821398"},"language":"en","primary_location":{"id":"doi:10.1155/2014/875319","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/875319","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/875319.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/875319.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044034460","display_name":"Xiandong Wang","orcid":"https://orcid.org/0000-0002-0635-856X"},"institutions":[{"id":"https://openalex.org/I4210108723","display_name":"Changzhou Institute of Technology","ror":"https://ror.org/020mrfq61","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210108723"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiandong Wang","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China","School of Sciences, Changzhou Institute of Technology, Changzhou, Jiangsu 213002, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"School of Sciences, Changzhou Institute of Technology, Changzhou, Jiangsu 213002, China","institution_ids":["https://openalex.org/I4210108723"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101955961","display_name":"HE Jian-min","orcid":"https://orcid.org/0000-0002-4019-1820"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianmin He","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101541192","display_name":"Shouwei Li","orcid":"https://orcid.org/0000-0003-1534-1628"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shouwei Li","raw_affiliation_strings":["School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5044034460"],"corresponding_institution_ids":["https://openalex.org/I4210108723","https://openalex.org/I76569877"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.0203,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.86491925,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9970999956130981,"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":0.9970999956130981,"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/T11413","display_name":"Risk and Portfolio Optimization","score":0.9926999807357788,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6003794074058533},{"id":"https://openalex.org/keywords/volatility","display_name":"Volatility (finance)","score":0.5803251266479492},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5231760144233704},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5216094255447388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47034719586372375},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4687125086784363},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4598338305950165},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4487001597881317},{"id":"https://openalex.org/keywords/vagueness","display_name":"Vagueness","score":0.4445124864578247},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42150089144706726},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3769391179084778},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.36817872524261475},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.332533061504364},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.32400140166282654},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3150852620601654}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6003794074058533},{"id":"https://openalex.org/C91602232","wikidata":"https://www.wikidata.org/wiki/Q756115","display_name":"Volatility (finance)","level":2,"score":0.5803251266479492},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5231760144233704},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5216094255447388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47034719586372375},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4687125086784363},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4598338305950165},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4487001597881317},{"id":"https://openalex.org/C2776825360","wikidata":"https://www.wikidata.org/wiki/Q1411921","display_name":"Vagueness","level":3,"score":0.4445124864578247},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42150089144706726},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3769391179084778},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.36817872524261475},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.332533061504364},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.32400140166282654},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3150852620601654}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/875319","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/875319","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/875319.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305588","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305588","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:875319","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/875319.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:75d247dda4b842ae8061d727f195fa1c","is_oa":true,"landing_page_url":"https://doaj.org/article/75d247dda4b842ae8061d727f195fa1c","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/875319","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/875319","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/875319.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G185092938","display_name":null,"funder_award_id":"71201023","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2963907731","display_name":null,"funder_award_id":"71071034","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4299834366","display_name":null,"funder_award_id":"CXZZ 13-0140","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335769","display_name":"Graduate Research and Innovation Projects of Jiangsu Province","ror":null},{"id":"https://openalex.org/F4320337368","display_name":"Division of Graduate Education","ror":"https://ror.org/00whkrf32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1983821398.pdf","grobid_xml":"https://content.openalex.org/works/W1983821398.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W3331290","https://openalex.org/W196008430","https://openalex.org/W1523093464","https://openalex.org/W1965628722","https://openalex.org/W1968509795","https://openalex.org/W1977895070","https://openalex.org/W1981780103","https://openalex.org/W1984253589","https://openalex.org/W1990664633","https://openalex.org/W2003877352","https://openalex.org/W2017545778","https://openalex.org/W2020513006","https://openalex.org/W2021451957","https://openalex.org/W2022202554","https://openalex.org/W2023410638","https://openalex.org/W2033972209","https://openalex.org/W2034905252","https://openalex.org/W2036231676","https://openalex.org/W2042758485","https://openalex.org/W2054804749","https://openalex.org/W2055759661","https://openalex.org/W2060076929","https://openalex.org/W2062835833","https://openalex.org/W2065678500","https://openalex.org/W2115904015","https://openalex.org/W2154955866","https://openalex.org/W2158765829","https://openalex.org/W2470997415","https://openalex.org/W2912565176","https://openalex.org/W3110554715","https://openalex.org/W3123034721","https://openalex.org/W3123712195","https://openalex.org/W3124955647","https://openalex.org/W4211007335"],"related_works":["https://openalex.org/W4361984403","https://openalex.org/W3186561448","https://openalex.org/W4387651218","https://openalex.org/W3176863924","https://openalex.org/W2023513928","https://openalex.org/W2253053392","https://openalex.org/W2989705030","https://openalex.org/W2122919791","https://openalex.org/W1552946134","https://openalex.org/W1542808721"],"abstract_inverted_index":{"Considering":[0],"the":[1,23,33,41,66,70,87,96,113],"uncertainty":[2],"of":[3,36,59,72,86,101],"a":[4,77,108],"financial":[5],"market":[6],"includes":[7],"two":[8],"aspects:":[9],"risk":[10],"and":[11,29,43,69,91],"vagueness;":[12],"in":[13,45],"this":[14],"paper,":[15],"fuzzy":[16,34,60,67,88,92,118],"sets":[17],"theory":[18],"is":[19,62],"applied":[20],"to":[21,65,94,111],"model":[22],"imprecise":[24],"input":[25],"parameters":[26],"(interest":[27],"rate":[28,90],"volatility).":[30],"We":[31,75],"present":[32,107],"price":[35],"compound":[37,47,102,114],"option":[38,48,103,115],"by":[39],"fuzzing":[40],"interest":[42,89],"volatility":[44,93],"Geske\u2019s":[46],"pricing":[49,116],"formula.":[50],"For":[51],"each<mml:math":[52],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[53,56],"id=\"M1\"><mml:mrow><mml:mi>\u03b1</mml:mi></mml:mrow></mml:math>,":[54],"the<mml:math":[55],"id=\"M2\"><mml:mrow><mml:mi>\u03b1</mml:mi></mml:mrow></mml:math>-level":[57],"set":[58],"prices":[61],"obtained":[63],"according":[64],"arithmetics":[68],"definition":[71],"fuzzy-valued":[73],"function.":[74],"apply":[76],"defuzzification":[78],"method":[79],"based":[80],"on":[81],"crisp":[82,97],"possibilistic":[83,98],"mean":[84,99],"values":[85],"obtain":[95],"value":[100],"price.":[104],"Finally,":[105],"we":[106],"numerical":[109],"analysis":[110],"illustrate":[112],"under":[117],"environment.":[119]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}