{"id":"https://openalex.org/W2137894055","doi":"https://doi.org/10.1109/fskd.2011.6019593","title":"AHP under the Intuitionistic Fuzzy environment","display_name":"AHP under the Intuitionistic Fuzzy environment","publication_year":2011,"publication_date":"2011-07-01","ids":{"openalex":"https://openalex.org/W2137894055","doi":"https://doi.org/10.1109/fskd.2011.6019593","mag":"2137894055"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2011.6019593","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019593","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-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/A5080515125","display_name":"Chengyi Zhang","orcid":"https://orcid.org/0000-0002-6027-0606"},"institutions":[{"id":"https://openalex.org/I152033890","display_name":"Hainan Normal University","ror":"https://ror.org/031dhcv14","country_code":"CN","type":"education","lineage":["https://openalex.org/I152033890"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chengyi Zhang","raw_affiliation_strings":["Department of Mathematics and Statistics, Hainan Normal University, Haikou, China","[Department of Mathematics and Statistics, Hainan Normal University, Haikou, China]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hainan Normal University, Haikou, China","institution_ids":["https://openalex.org/I152033890"]},{"raw_affiliation_string":"[Department of Mathematics and Statistics, Hainan Normal University, Haikou, China]","institution_ids":["https://openalex.org/I152033890"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101880671","display_name":"Weixia Li","orcid":"https://orcid.org/0000-0003-0453-3253"},"institutions":[{"id":"https://openalex.org/I152033890","display_name":"Hainan Normal University","ror":"https://ror.org/031dhcv14","country_code":"CN","type":"education","lineage":["https://openalex.org/I152033890"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weixia Li","raw_affiliation_strings":["Department of Mathematics and Statistics, Hainan Normal University, Haikou, China","[Department of Mathematics and Statistics, Hainan Normal University, Haikou, China]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hainan Normal University, Haikou, China","institution_ids":["https://openalex.org/I152033890"]},{"raw_affiliation_string":"[Department of Mathematics and Statistics, Hainan Normal University, Haikou, China]","institution_ids":["https://openalex.org/I152033890"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077516443","display_name":"Leng Wang","orcid":"https://orcid.org/0000-0002-6992-8910"},"institutions":[{"id":"https://openalex.org/I152033890","display_name":"Hainan Normal University","ror":"https://ror.org/031dhcv14","country_code":"CN","type":"education","lineage":["https://openalex.org/I152033890"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Leng Wang","raw_affiliation_strings":["Department of Mathematics and Statistics, Hainan Normal University, Haikou, China","[Department of Mathematics and Statistics, Hainan Normal University, Haikou, China]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Hainan Normal University, Haikou, China","institution_ids":["https://openalex.org/I152033890"]},{"raw_affiliation_string":"[Department of Mathematics and Statistics, Hainan Normal University, Haikou, China]","institution_ids":["https://openalex.org/I152033890"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080515125"],"corresponding_institution_ids":["https://openalex.org/I152033890"],"apc_list":null,"apc_paid":null,"fwci":0.8194,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77714689,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"247","issue":null,"first_page":"583","last_page":"587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9987999796867371,"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":0.9987999796867371,"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/T12805","display_name":"Cognitive Science and Mapping","score":0.9851999878883362,"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/T13955","display_name":"Evaluation Methods in Various Fields","score":0.974399983882904,"subfield":{"id":"https://openalex.org/subfields/2302","display_name":"Ecological Modeling"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/analytic-hierarchy-process","display_name":"Analytic hierarchy process","score":0.7600886821746826},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.6626080274581909},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5326266884803772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5231676697731018},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4971318542957306},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4928927421569824},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.43652960658073425},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4329236149787903},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.42144182324409485},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.34964919090270996},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33451852202415466},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29625803232192993},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2770722508430481},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18069225549697876},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.1331346333026886}],"concepts":[{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.7600886821746826},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.6626080274581909},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5326266884803772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5231676697731018},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4971318542957306},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4928927421569824},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.43652960658073425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4329236149787903},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.42144182324409485},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.34964919090270996},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33451852202415466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29625803232192993},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2770722508430481},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18069225549697876},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.1331346333026886},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fskd.2011.6019593","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2011.6019593","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W112087094","https://openalex.org/W167331337","https://openalex.org/W1483941173","https://openalex.org/W1891636426","https://openalex.org/W1980564456","https://openalex.org/W2029377923","https://openalex.org/W2034387309","https://openalex.org/W2080151622","https://openalex.org/W2088907949","https://openalex.org/W2127025275","https://openalex.org/W2129521002","https://openalex.org/W2145906330","https://openalex.org/W2168936936","https://openalex.org/W2293737317","https://openalex.org/W2476718972","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W6604568027"],"related_works":["https://openalex.org/W4318028252","https://openalex.org/W4206658728","https://openalex.org/W2605508318","https://openalex.org/W2385683470","https://openalex.org/W2322155822","https://openalex.org/W3134416257","https://openalex.org/W1745582813","https://openalex.org/W2325384277","https://openalex.org/W2357152830","https://openalex.org/W4295762775"],"abstract_inverted_index":{"This":[0],"piece":[1],"of":[2,8,71,79,83,88,111],"study":[3],"has":[4,14,90,105,120],"done":[5],"a":[6,102],"serious":[7],"work":[9],"as":[10,101],"following.":[11],"Firstly,":[12],"it":[13,104,119],"discussed":[15,135],"the":[16,28,35,42,46,55,63,68,76,80,84,86,94,98,108,124,128,136],"method":[17],"toward":[18],"Intuitionistic":[19,47],"Fuzzy":[20,25],"Sets":[21],"(IFS)":[22],"approximate":[23],"to":[24,54,62,67,75],"Sets(FS)":[26],"and":[27,39,114],"related":[29],"properties,":[30],"which":[31],"is":[32],"based":[33],"on":[34],"relationships":[36],"between":[37],"IFS":[38],"FS.":[40],"Secondly,":[41],"author":[43],"also":[44,134],"studied":[45],"fuzzy":[48,56,125],"complementary":[49,57],"judgment":[50,58],"matrix":[51,59],"(IFCJM)":[52],"approximates":[53],"(FCJM),":[60],"according":[61],"basic":[64],"consideration":[65],"refer":[66],"hesitation":[69],"degree":[70],"IFS.":[72],"Moreover,":[73],"regarding":[74],"iteration":[77,95],"process":[78,96],"consistency":[81,109],"adjustment":[82,110],"FCJM,":[85,99],"form":[87],"IFCJM":[89,113],"been":[91],"given":[92],"within":[93],"via":[97],"therefore":[100],"result,":[103],"demonstrated":[106],"that":[107],"both":[112],"FCJM":[115],"are":[116],"equal.":[117],"Finally,":[118],"not":[121],"only":[122],"applied":[123],"approximation":[126],"into":[127],"Analytic":[129],"Hierarchy":[130],"Process":[131],"(AHP),":[132],"but":[133],"IFCJM-based":[137],"AHP":[138],"method.":[139]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
