{"id":"https://openalex.org/W2898935290","doi":"https://doi.org/10.1155/2018/1569860","title":"On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers","display_name":"On Application of Ordered Fuzzy Numbers in Ranking Linguistically Evaluated Negotiation Offers","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2898935290","doi":"https://doi.org/10.1155/2018/1569860","mag":"2898935290"},"language":"en","primary_location":{"id":"doi:10.1155/2018/1569860","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/1569860","pdf_url":"https://downloads.hindawi.com/journals/afs/2018/1569860.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"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":"Advances in Fuzzy Systems","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/afs/2018/1569860.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101719661","display_name":"Krzysztof Piasecki","orcid":"https://orcid.org/0000-0002-9629-4167"},"institutions":[{"id":"https://openalex.org/I12379730","display_name":"Pozna\u0144 University of Economics and Business","ror":"https://ror.org/0532c1x92","country_code":"PL","type":"education","lineage":["https://openalex.org/I12379730"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Krzysztof Piasecki","raw_affiliation_strings":["Department of Investment and Real Estate, Pozna\u0144 University of Economics and Business, 61-875 Pozna\u0144, Poland"],"raw_orcid":"https://orcid.org/0000-0002-9629-4167","affiliations":[{"raw_affiliation_string":"Department of Investment and Real Estate, Pozna\u0144 University of Economics and Business, 61-875 Pozna\u0144, Poland","institution_ids":["https://openalex.org/I12379730"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102998080","display_name":"Ewa Roszkowska","orcid":"https://orcid.org/0000-0003-2249-7217"},"institutions":[{"id":"https://openalex.org/I245364917","display_name":"University of Bia\u0142ystok","ror":"https://ror.org/01qaqcf60","country_code":"PL","type":"education","lineage":["https://openalex.org/I245364917"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ewa Roszkowska","raw_affiliation_strings":["Faculty of Economics and Management, University of Bialystok, 15-062 Bialystok, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Economics and Management, University of Bialystok, 15-062 Bialystok, Poland","institution_ids":["https://openalex.org/I245364917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101719661"],"corresponding_institution_ids":["https://openalex.org/I12379730"],"apc_list":{"value":900,"currency":"USD","value_usd":900},"apc_paid":{"value":900,"currency":"USD","value_usd":900},"fwci":3.7423,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.93407192,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"2018","issue":null,"first_page":"1","last_page":"12"},"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":0.9850999712944031,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9842000007629395,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/negotiation","display_name":"Negotiation","score":0.8938463926315308},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.8131945133209229},{"id":"https://openalex.org/keywords/topsis","display_name":"TOPSIS","score":0.8128906488418579},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.75542151927948},{"id":"https://openalex.org/keywords/ideal-solution","display_name":"Ideal solution","score":0.720523476600647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6916441917419434},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6638717651367188},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.626488208770752},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.5788504481315613},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5727241635322571},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5321623086929321},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.45150789618492126},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3635442852973938},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36120083928108215},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.33383527398109436},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.32147645950317383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21979573369026184},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13961780071258545},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.13016918301582336},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.10549852252006531},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.06774252653121948}],"concepts":[{"id":"https://openalex.org/C199776023","wikidata":"https://www.wikidata.org/wiki/Q202875","display_name":"Negotiation","level":2,"score":0.8938463926315308},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.8131945133209229},{"id":"https://openalex.org/C51566761","wikidata":"https://www.wikidata.org/wiki/Q1235853","display_name":"TOPSIS","level":2,"score":0.8128906488418579},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.75542151927948},{"id":"https://openalex.org/C89591040","wikidata":"https://www.wikidata.org/wiki/Q1779030","display_name":"Ideal solution","level":2,"score":0.720523476600647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6916441917419434},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6638717651367188},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.626488208770752},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.5788504481315613},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5727241635322571},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5321623086929321},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.45150789618492126},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3635442852973938},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36120083928108215},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.33383527398109436},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.32147645950317383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21979573369026184},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13961780071258545},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.13016918301582336},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.10549852252006531},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.06774252653121948},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2018/1569860","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/1569860","pdf_url":"https://downloads.hindawi.com/journals/afs/2018/1569860.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"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":"Advances in Fuzzy Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6ff078e4ae9b47f09f3f1647ed2aff7c","is_oa":true,"landing_page_url":"https://doaj.org/article/6ff078e4ae9b47f09f3f1647ed2aff7c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Fuzzy Systems, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/1569860","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/1569860","pdf_url":"https://downloads.hindawi.com/journals/afs/2018/1569860.pdf","source":{"id":"https://openalex.org/S117816480","display_name":"Advances in Fuzzy Systems","issn_l":"1687-7101","issn":["1687-7101","1687-711X"],"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":"Advances in Fuzzy Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2157753961","display_name":null,"funder_award_id":"2016/21/B/HS4/01583","funder_id":"https://openalex.org/F4320322511","funder_display_name":"Narodowe Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322511","display_name":"Narodowe Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2898935290.pdf","grobid_xml":"https://content.openalex.org/works/W2898935290.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1562054411","https://openalex.org/W2007802515","https://openalex.org/W2014724259","https://openalex.org/W2034218929","https://openalex.org/W2041210202","https://openalex.org/W2044478869","https://openalex.org/W2059785867","https://openalex.org/W2076656940","https://openalex.org/W2096468420","https://openalex.org/W2123885031","https://openalex.org/W2124417247","https://openalex.org/W2153676086","https://openalex.org/W2157041604","https://openalex.org/W2171235516","https://openalex.org/W2293721614","https://openalex.org/W2506201062","https://openalex.org/W2506768821","https://openalex.org/W2792277465","https://openalex.org/W4210259099","https://openalex.org/W4240278385","https://openalex.org/W4245152641","https://openalex.org/W4255301166"],"related_works":["https://openalex.org/W2775045317","https://openalex.org/W2612149696","https://openalex.org/W2347675019","https://openalex.org/W2367947563","https://openalex.org/W2890644467","https://openalex.org/W2293394021","https://openalex.org/W4387430003","https://openalex.org/W3135485754","https://openalex.org/W1990029659","https://openalex.org/W2560304016"],"abstract_inverted_index":{"The":[0,23],"main":[1],"purpose":[2],"of":[3,12,20,33,58,71,112,137,144],"this":[4],"paper":[5],"is":[6,129],"to":[7,17,37,44,91,133],"investigate":[8],"the":[9,29,45,56,68,86,93,135],"application":[10],"potential":[11],"ordered":[13],"fuzzy":[14,139],"numbers":[15],"(OFN)":[16],"support":[18],"evaluation":[19,62,111,143],"negotiation":[21,63,81,94,106,113,145],"offers.":[22,82,146],"Simple":[24],"Additive":[25],"Weighting":[26],"(SAW)":[27],"and":[28,65,73,100,115],"Technique":[30],"for":[31,60,75,80,109],"Order":[32],"Preference":[34],"by":[35,52],"Similarity":[36],"Ideal":[38],"Solution":[39],"(TOPSIS)":[40],"methods":[41],"are":[42,50,123],"extended":[43],"case":[46],"when":[47],"linguistic":[48,61],"evaluations":[49],"represented":[51],"OFN.":[53],"We":[54,83],"study":[55],"applicability":[57],"OFN":[59],"options":[64],"also":[66],"provide":[67],"theoretical":[69],"foundations":[70],"SAW":[72],"TOPSIS":[74],"constructing":[76],"a":[77,97],"scoring":[78],"function":[79],"show":[84],"that":[85],"proposed":[87],"framework":[88],"allows":[89,108],"us":[90],"represent":[92],"information":[95],"in":[96,104,131,142],"more":[98],"direct":[99],"adequate":[101],"way,":[102],"especially":[103],"ill-structured":[105],"problems,":[107],"holistic":[110],"offers,":[114],"produces":[116],"consistent":[117],"rankings,":[118],"even":[119],"though":[120],"new":[121],"packages":[122],"added":[124],"or":[125],"removed.":[126],"An":[127],"example":[128],"presented":[130,138],"order":[132],"demonstrate":[134],"usefulness":[136],"numerical":[140],"approach":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1}],"updated_date":"2026-05-08T15:41:06.802602","created_date":"2025-10-10T00:00:00"}
