{"id":"https://openalex.org/W2588751285","doi":"https://doi.org/10.1504/ijmor.2017.10003344","title":"A new method for fuzzy numbers ranking on the basis of hypotenuse set","display_name":"A new method for fuzzy numbers ranking on the basis of hypotenuse set","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2588751285","doi":"https://doi.org/10.1504/ijmor.2017.10003344","mag":"2588751285"},"language":"en","primary_location":{"id":"doi:10.1504/ijmor.2017.10003344","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijmor.2017.10003344","pdf_url":null,"source":{"id":"https://openalex.org/S135796719","display_name":"International Journal of Mathematics in Operational Research","issn_l":"1757-5850","issn":["1757-5850","1757-5869"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics in Operational Research","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/A5108555028","display_name":"Mojtaba Kazemi","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152146","display_name":"Islamic Azad University Kerman","ror":"https://ror.org/04ywz9252","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210152146"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mojtaba Kazemi","raw_affiliation_strings":["Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Alley 59, Goldasht Street, Kerman, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Alley 59, Goldasht Street, Kerman, Iran","institution_ids":["https://openalex.org/I4210152146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017099364","display_name":"Hamed Mohammadi Andargoli","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152146","display_name":"Islamic Azad University Kerman","ror":"https://ror.org/04ywz9252","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210152146"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hamed Mohammadi Andargoli","raw_affiliation_strings":["Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Alley 59, Goldasht Street, Kerman, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Alley 59, Goldasht Street, Kerman, Iran","institution_ids":["https://openalex.org/I4210152146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011230670","display_name":"Mohammad Hossein Abolhasani Ashkezari","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152146","display_name":"Islamic Azad University Kerman","ror":"https://ror.org/04ywz9252","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210152146"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Hossein Abolhasani Ashkezari","raw_affiliation_strings":["Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Alley 59, Goldasht Street, Kerman, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Alley 59, Goldasht Street, Kerman, Iran","institution_ids":["https://openalex.org/I4210152146"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113818406","display_name":"Nasser Shahsavari Pour","orcid":null},"institutions":[{"id":"https://openalex.org/I3020488725","display_name":"Vali Asr University of Rafsanjan","ror":"https://ror.org/056xnk046","country_code":"IR","type":"education","lineage":["https://openalex.org/I3020488725"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Nasser Shahsavari Pour","raw_affiliation_strings":["Department of Industrial Management, Vali-e-Asr University, First of Yazd road, 22 Bahman Square, Rafsanjan 7718897111, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Management, Vali-e-Asr University, First of Yazd road, 22 Bahman Square, Rafsanjan 7718897111, Iran","institution_ids":["https://openalex.org/I3020488725"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032511721","display_name":"Reza Tavakkoli\u2010Moghaddam","orcid":"https://orcid.org/0000-0002-6757-926X"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Reza Tavakkoli Moghaddam","raw_affiliation_strings":["Department of Industrial Engineering, University of Tehran, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Tehran, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5108555028"],"corresponding_institution_ids":["https://openalex.org/I4210152146"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01913078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"3","first_page":"370","last_page":"370"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9930999875068665,"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":0.9930999875068665,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.8333117365837097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6214736104011536},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5962889790534973},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5834947228431702},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.544888436794281},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5046008825302124},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4700146019458771},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4681926667690277},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.46726077795028687},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4577944874763489},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4390644431114197},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.41812580823898315},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28237417340278625},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2652828097343445},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24568170309066772},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19900456070899963}],"concepts":[{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.8333117365837097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6214736104011536},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5962889790534973},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5834947228431702},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.544888436794281},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5046008825302124},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4700146019458771},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4681926667690277},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.46726077795028687},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4577944874763489},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4390644431114197},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.41812580823898315},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28237417340278625},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2652828097343445},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24568170309066772},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19900456070899963}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1504/ijmor.2017.10003344","is_oa":false,"landing_page_url":"https://doi.org/10.1504/ijmor.2017.10003344","pdf_url":null,"source":{"id":"https://openalex.org/S135796719","display_name":"International Journal of Mathematics in Operational Research","issn_l":"1757-5850","issn":["1757-5850","1757-5869"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310317825","host_organization_name":"Inderscience Publishers","host_organization_lineage":["https://openalex.org/P4310317825"],"host_organization_lineage_names":["Inderscience Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics in Operational Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W1489009679","https://openalex.org/W3176863924","https://openalex.org/W2060361571","https://openalex.org/W3118797707"],"abstract_inverted_index":{"The":[0,32,69,89],"fuzzy":[1,10,20,30,41,50,83,86,90,98],"numbers":[2,21,42,99],"ranking":[3,22],"plays":[4],"a":[5,16,62],"significant":[6],"role":[7],"in":[8,108,119],"many":[9],"application":[11],"systems.":[12],"This":[13],"paper":[14,35],"presents":[15],"new":[17],"approach":[18],"for":[19,28,48,74,100,138],"and":[23,112],"six":[24],"definitions":[25],"are":[26,136],"introduced":[27],"comparing":[29],"numbers.":[31],"purpose":[33],"of":[34,55,66,81,121,142,146],"is":[36,59,72,93,106,116,128],"to":[37],"rank":[38],"the":[39,45,56,79,97,103,113,125,131,140,143],"trapezoidal/triangular":[40],"based":[43,77],"on":[44,78],"hypotenuse":[46,70],"set":[47,57],"each":[49,75,82,109],"number.":[51],"Each":[52],"member":[53],"(hypotenuse)":[54],"(L-R)":[58],"resulted":[60],"from":[61],"certain":[63],"level":[64,76,110],"(\u03bb-cut)":[65,111],"membership":[67],"degree.":[68],"length":[71],"calculated":[73],"distance":[80],"number":[84,87,91],"with":[85,130],"indicator.":[88],"indicator":[92],"affected":[94],"by":[95],"all":[96,122],"ranking.":[101],"Therefore,":[102],"relative":[104],"preference":[105,115],"measured":[107],"absolute":[114],"totally":[117],"represented":[118],"terms":[120],"levels.":[123],"Additionally,":[124],"proposed":[126,147],"method":[127],"compared":[129],"available":[132],"methods.":[133],"Several":[134],"examples":[135],"studies":[137],"expressing":[139],"advantages":[141],"reasonable":[144],"performance":[145],"method.":[148]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}