{"id":"https://openalex.org/W2081304501","doi":"https://doi.org/10.1080/019697201753229845","title":"AGGREGATION OF FUZZY NUMBERS IN A DECISION-MAKING SITUATION","display_name":"AGGREGATION OF FUZZY NUMBERS IN A DECISION-MAKING SITUATION","publication_year":2001,"publication_date":"2001-12-01","ids":{"openalex":"https://openalex.org/W2081304501","doi":"https://doi.org/10.1080/019697201753229845","mag":"2081304501"},"language":"en","primary_location":{"id":"doi:10.1080/019697201753229845","is_oa":false,"landing_page_url":"https://doi.org/10.1080/019697201753229845","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cybernetics and 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/A5065650652","display_name":"Vania Peneva","orcid":null},"institutions":[{"id":"https://openalex.org/I4210141563","display_name":"Institute of Information Technologies","ror":"https://ror.org/03ypsgm65","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210141563"]},{"id":"https://openalex.org/I4210163063","display_name":"Institute of Information and Communication Technologies","ror":"https://ror.org/05fpsjc82","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]},{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Vania Peneva","raw_affiliation_strings":["a    Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria","Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria"],"affiliations":[{"raw_affiliation_string":"a    Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210141563"]},{"raw_affiliation_string":"Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria","institution_ids":["https://openalex.org/I4210163063","https://openalex.org/I24768866","https://openalex.org/I4210141563"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037805365","display_name":"\u0418\u0432\u0430\u043d \u041f\u043e\u043f\u0447\u0435\u0432","orcid":"https://orcid.org/0009-0002-8128-3980"},"institutions":[{"id":"https://openalex.org/I4210163063","display_name":"Institute of Information and Communication Technologies","ror":"https://ror.org/05fpsjc82","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210163063"]},{"id":"https://openalex.org/I4210141563","display_name":"Institute of Information Technologies","ror":"https://ror.org/03ypsgm65","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210141563"]},{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"funder","lineage":["https://openalex.org/I24768866"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Ivan Popchev","raw_affiliation_strings":["a    Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria","Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria"],"affiliations":[{"raw_affiliation_string":"a    Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210141563"]},{"raw_affiliation_string":"Institute of Information Technologies, Bulgarian Academy of Sciences, Bulgaria","institution_ids":["https://openalex.org/I4210163063","https://openalex.org/I24768866","https://openalex.org/I4210141563"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065650652"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210141563","https://openalex.org/I4210163063"],"apc_list":null,"apc_paid":null,"fwci":1.0417,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.79561508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"8","first_page":"871","last_page":"885"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9980000257492065,"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":0.9980000257492065,"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":0.984499990940094,"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":0.9564999938011169,"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":0.754023551940918},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.7047857642173767},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6450986862182617},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.595773458480835},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.578519344329834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.568253219127655},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5345814228057861},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5008463859558105},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45814889669418335},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4216506779193878},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4017857015132904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3961258828639984},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.29126209020614624}],"concepts":[{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.754023551940918},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.7047857642173767},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6450986862182617},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.595773458480835},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.578519344329834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.568253219127655},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5345814228057861},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5008463859558105},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45814889669418335},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4216506779193878},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4017857015132904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3961258828639984},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29126209020614624},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/019697201753229845","is_oa":false,"landing_page_url":"https://doi.org/10.1080/019697201753229845","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cybernetics and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.8399999737739563,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W128293706","https://openalex.org/W1830657949","https://openalex.org/W1967222939","https://openalex.org/W2072933345","https://openalex.org/W2097472963","https://openalex.org/W2140710794","https://openalex.org/W2161502528","https://openalex.org/W2330022088","https://openalex.org/W2578517644"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W2674573885","https://openalex.org/W1975005191","https://openalex.org/W2331106272","https://openalex.org/W2253053392","https://openalex.org/W1542808721","https://openalex.org/W4361984403","https://openalex.org/W3176863924","https://openalex.org/W173448675"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"fuzzy":[2,25,32,42,46,68,79],"logic":[3,69],"operators":[4,70],"are":[5,31,71],"used":[6],"to":[7,53,93],"decide":[8,94],"the":[9,28,50,54],"following":[10],"multicriteria":[11],"decision-making":[12],"problem.":[13,98],"A":[14,73,99],"finite":[15],"set":[16,23,56],"of":[17,24,41,57,63,77],"alternatives":[18],"is":[19,59,86,102],"evaluated":[20],"by":[21],"a":[22,91],"criteria,":[26,58],"i.e.,":[27],"alternatives'":[29],"estimations":[30],"numbers.":[33],"An":[34],"aggregation":[35],"procedure":[36],"mapping":[37,65],"each":[38],"m":[39],"-tuple":[40],"numbers":[43],"into":[44],"one":[45],"number,":[47],"which":[48],"represents":[49],"alternative":[51],"according":[52],"whole":[55],"presented.":[60],"As":[61],"functions":[62],"this":[64],"some":[66],"known":[67],"used.":[72],"method":[74,89],"for":[75],"comparison":[76],"ordinary":[78],"numbers,":[80],"based":[81],"on":[82],"f":[83],"-level":[84],"subareas,":[85],"proposed.":[87],"This":[88],"gives":[90],"possibility":[92],"ranking":[95],"or":[96],"choice":[97],"numerical":[100],"example":[101],"given":[103],"as":[104],"well.":[105]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"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"}
