{"id":"https://openalex.org/W1488217585","doi":"https://doi.org/10.3233/ifs-130960","title":"Induced interval-valued intuitionistic fuzzy Einstein ordered weighted geometric operator and their application to multiple attribute decision making","display_name":"Induced interval-valued intuitionistic fuzzy Einstein ordered weighted geometric operator and their application to multiple attribute decision making","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1488217585","doi":"https://doi.org/10.3233/ifs-130960","mag":"1488217585"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-130960","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130960","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy 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/A5008128302","display_name":"Yang-rui Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I198645480","display_name":"North China University of Water Resources and Electric Power","ror":"https://ror.org/03acrzv41","country_code":"CN","type":"education","lineage":["https://openalex.org/I198645480"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang-rui Yang","raw_affiliation_strings":["College of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, Henan, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I198645480"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109422290","display_name":"Sheng Yuan","orcid":"https://orcid.org/0000-0002-7495-7070"},"institutions":[{"id":"https://openalex.org/I198645480","display_name":"North China University of Water Resources and Electric Power","ror":"https://ror.org/03acrzv41","country_code":"CN","type":"education","lineage":["https://openalex.org/I198645480"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng Yuan","raw_affiliation_strings":["College of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, Henan, China"],"affiliations":[{"raw_affiliation_string":"College of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, Henan, China","institution_ids":["https://openalex.org/I198645480"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008128302"],"corresponding_institution_ids":["https://openalex.org/I198645480"],"apc_list":null,"apc_paid":null,"fwci":3.2465,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.91400382,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"26","issue":"6","first_page":"2945","last_page":"2954"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998999834060669,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9790999889373779,"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/mathematics","display_name":"Mathematics","score":0.6046682000160217},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5953199863433838},{"id":"https://openalex.org/keywords/einstein","display_name":"Einstein","score":0.5663961172103882},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.47466710209846497},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4124409556388855},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.378586083650589},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3565007150173187},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34082385897636414},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2615104913711548},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20382219552993774},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.05161595344543457}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6046682000160217},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5953199863433838},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.5663961172103882},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.47466710209846497},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4124409556388855},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.378586083650589},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3565007150173187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34082385897636414},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2615104913711548},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20382219552993774},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.05161595344543457},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-130960","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-130960","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7599999904632568}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1965777053","https://openalex.org/W1976915331","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1987454296","https://openalex.org/W1988242538","https://openalex.org/W2003992246","https://openalex.org/W2026951642","https://openalex.org/W2031241748","https://openalex.org/W2038508330","https://openalex.org/W2041455711","https://openalex.org/W2056001886","https://openalex.org/W2064172572","https://openalex.org/W2076395105","https://openalex.org/W2076808107","https://openalex.org/W2078579957","https://openalex.org/W2082669644","https://openalex.org/W2084643922","https://openalex.org/W2091864293","https://openalex.org/W2122937236","https://openalex.org/W2130104797","https://openalex.org/W2131886650","https://openalex.org/W2132585739","https://openalex.org/W2136539703","https://openalex.org/W2271588387","https://openalex.org/W2912565176"],"related_works":["https://openalex.org/W2159964792","https://openalex.org/W4249580765","https://openalex.org/W2096753949","https://openalex.org/W2015274193","https://openalex.org/W1984138193","https://openalex.org/W1985218657","https://openalex.org/W1557945163","https://openalex.org/W2742285599","https://openalex.org/W2064847051","https://openalex.org/W2045297403"],"abstract_inverted_index":{"Interval-valued":[0],"intuitionistic":[1,11,42,60,89,105],"fuzzy":[2,12,43,61,90,106],"information":[3],"aggregation":[4],"plays":[5],"an":[6,109],"important":[7],"part":[8],"in":[9,29],"interval-valued":[10,41,59,88,104],"set":[13],"theory,":[14],"which":[15],"has":[16],"emerged":[17],"to":[18,96,118,124],"be":[19],"a":[20],"new":[21],"research":[22],"direction":[23],"receiving":[24],"more":[25,27],"and":[26,54,81,123,128],"attention":[28],"recent":[30],"years.":[31],"In":[32],"this":[33,75],"paper,":[34],"we":[35,84],"first":[36],"introduce":[37],"some":[38,71],"operations":[39],"on":[40],"sets,":[44],"such":[45,77],"as":[46,78],"Einstein":[47,49,51,62,91],"sum,":[48],"product,":[50],"exponentiation,":[52],"etc.,":[53],"further":[55],"develop":[56],"the":[57,86,120],"induced":[58,87],"ordered":[63],"weighted":[64],"geometric":[65,93],"(I-IVIFEOWG)":[66],"operator.":[67],"We":[68],"also":[69],"establish":[70],"desirable":[72],"properties":[73],"of":[74],"operator,":[76],"commutativity,":[79],"idempotency":[80],"monotonicity.":[82],"Then,":[83],"apply":[85],"hybrid":[92],"(I-IVIFEHG)":[94],"operator":[95],"deal":[97],"with":[98],"multiple":[99],"attribute":[100],"decision":[101],"making":[102],"under":[103],"environments.":[107],"Finally,":[108],"illustrative":[110],"example":[111],"for":[112],"software":[113],"quality":[114],"evaluation":[115],"is":[116],"given":[117],"verify":[119],"developed":[121],"approach":[122],"demonstrate":[125],"its":[126],"practicality":[127],"effectiveness.":[129]},"counts_by_year":[{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}