{"id":"https://openalex.org/W2241341019","doi":"https://doi.org/10.1109/fskd.2015.7381904","title":"A multi-indices based method for fuzzy number comparison and ranking in fuzzy decision making","display_name":"A multi-indices based method for fuzzy number comparison and ranking in fuzzy decision making","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W2241341019","doi":"https://doi.org/10.1109/fskd.2015.7381904","mag":"2241341019"},"language":"en","primary_location":{"id":"doi:10.1109/fskd.2015.7381904","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2015.7381904","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th 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/A5102783178","display_name":"Xi\u2010Bao Zhang","orcid":"https://orcid.org/0000-0003-3933-0712"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xibao Zhang","raw_affiliation_strings":["School of Business, Qingdao University, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"School of Business, Qingdao University, Qingdao, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052599376","display_name":"Hepu Deng","orcid":"https://orcid.org/0000-0003-1215-1650"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]},{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU","CN"],"is_corresponding":false,"raw_author_name":"Hepu Deng","raw_affiliation_strings":["School of Business IT and Logistics, RMIT University, Melbourne, VIC, Australia","Smart City Research Center, Renmin University of China, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Business IT and Logistics, RMIT University, Melbourne, VIC, Australia","institution_ids":["https://openalex.org/I82951845"]},{"raw_affiliation_string":"Smart City Research Center, Renmin University of China, Beijing, China","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112592203","display_name":"Yunxu Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunxu Zhou","raw_affiliation_strings":["International Office, Qingdao University, Qingdao, China"],"affiliations":[{"raw_affiliation_string":"International Office, Qingdao University, Qingdao, China","institution_ids":["https://openalex.org/I108688024"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102783178"],"corresponding_institution_ids":["https://openalex.org/I108688024"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13786664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"5","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9861000180244446,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9359999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.7142645716667175},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.7134526968002319},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.6119512319564819},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5545545816421509},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.5480208992958069},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5371584892272949},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5290089249610901},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4759996831417084},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.46117767691612244},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45846450328826904},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4264993369579315},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.425425261259079},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4132317900657654},{"id":"https://openalex.org/keywords/ranking-svm","display_name":"Ranking SVM","score":0.4127698540687561},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3581883907318115},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.33309420943260193}],"concepts":[{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.7142645716667175},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.7134526968002319},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.6119512319564819},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5545545816421509},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.5480208992958069},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5371584892272949},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5290089249610901},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4759996831417084},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.46117767691612244},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45846450328826904},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4264993369579315},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.425425261259079},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4132317900657654},{"id":"https://openalex.org/C124975894","wikidata":"https://www.wikidata.org/wiki/Q7293290","display_name":"Ranking SVM","level":3,"score":0.4127698540687561},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3581883907318115},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.33309420943260193},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fskd.2015.7381904","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fskd.2015.7381904","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)","raw_type":"proceedings-article"},{"id":"pmh:oai:alma.61RMIT_INST:11247826380001341","is_oa":false,"landing_page_url":"http://doi.org/10.1109/FSKD.2015.7381904","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W84285949","https://openalex.org/W194786220","https://openalex.org/W1965387747","https://openalex.org/W1969140532","https://openalex.org/W1975061798","https://openalex.org/W1986550159","https://openalex.org/W1987606774","https://openalex.org/W1990794890","https://openalex.org/W2000317403","https://openalex.org/W2016303054","https://openalex.org/W2024869598","https://openalex.org/W2029407995","https://openalex.org/W2030335045","https://openalex.org/W2049447733","https://openalex.org/W2074652763","https://openalex.org/W2081825717","https://openalex.org/W2107390469","https://openalex.org/W2716922966","https://openalex.org/W4210259099","https://openalex.org/W4285719527","https://openalex.org/W6603392545","https://openalex.org/W6740410634"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W2674573885","https://openalex.org/W1485268022","https://openalex.org/W1975005191","https://openalex.org/W2331106272","https://openalex.org/W4361984403","https://openalex.org/W1542808721","https://openalex.org/W2960454922","https://openalex.org/W1487720066","https://openalex.org/W2253053392"],"abstract_inverted_index":{"In":[0],"this":[1,57],"paper":[2],"we":[3],"present":[4,88],"a":[5,66],"multi-indices":[6],"based":[7],"method":[8],"that":[9],"can":[10,83],"be":[11,84],"used":[12],"to":[13,99],"compare":[14],"and":[15,29,50,79,110],"rank":[16],"fuzzy":[17,30,38,47,74,93,107,113],"numbers":[18,75],"in":[19,43,72,91,97,112],"decision":[20,114],"making":[21],"under":[22],"uncertainty.":[23],"The":[24],"concepts":[25],"of":[26,46,56],"Euclidean":[27],"distance":[28],"maximum":[31],"are":[32,63],"effectively":[33],"combined":[34],"for":[35,105],"determining":[36],"each":[37],"number's":[39],"performance":[40],"index":[41],"value":[42],"the":[44,54,69,92,101],"process":[45],"number":[48,94,108],"comparison":[49,109],"ranking.":[51],"To":[52],"address":[53],"concern":[55],"ranking":[58,81,95,111],"index,":[59],"two":[60],"additional":[61],"indices":[62],"introduced.":[64],"As":[65],"result,":[67],"all":[68],"information":[70],"available":[71],"existing":[73],"has":[76],"been":[77],"considered,":[78],"satisfactory":[80],"outcomes":[82],"obtained.":[85],"We":[86],"further":[87],"representative":[89],"examples":[90],"literature":[96],"order":[98],"illustrate":[100],"proposed":[102],"method's":[103],"applicability":[104],"effective":[106],"making.":[115]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
