{"id":"https://openalex.org/W1965958212","doi":"https://doi.org/10.1007/s00500-009-0464-7","title":"Ranking of fuzzy numbers by a new metric","display_name":"Ranking of fuzzy numbers by a new metric","publication_year":2009,"publication_date":"2009-06-26","ids":{"openalex":"https://openalex.org/W1965958212","doi":"https://doi.org/10.1007/s00500-009-0464-7","mag":"1965958212"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-009-0464-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-009-0464-7","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5073095019","display_name":"Tofigh Allahviranloo","orcid":"https://orcid.org/0000-0002-6673-3560"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Tofigh Allahviranloo","raw_affiliation_strings":["Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran","Islamic Azad University, Department of Mathematics, Science and Research Branch, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"Islamic Azad University, Department of Mathematics, Science and Research Branch, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008474959","display_name":"M. Adabitabar Firozja","orcid":"https://orcid.org/0000-0001-9177-3882"},"institutions":[{"id":"https://openalex.org/I4210138903","display_name":"Qaemshahr Islamic Azad University","ror":"https://ror.org/03y0dv989","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I4210138903"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"M. Adabitabar Firozja","raw_affiliation_strings":["Department of mathematics, Islamic Azad University, Qaemshahr, Iran","Islamic Azad University, Department of mathematics, Qaemshahr, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of mathematics, Islamic Azad University, Qaemshahr, Iran","institution_ids":["https://openalex.org/I4210138903"]},{"raw_affiliation_string":"Islamic Azad University, Department of mathematics, Qaemshahr, Iran","institution_ids":["https://openalex.org/I4210138903"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073095019"],"corresponding_institution_ids":["https://openalex.org/I155419210"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.8318,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.73671651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"14","issue":"7","first_page":"773","last_page":"782"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9998000264167786,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9988999962806702,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9839000105857849,"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/mathematics","display_name":"Mathematics","score":0.6621296405792236},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6043099761009216},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5982787013053894},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5956299304962158},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5197505354881287},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4925606846809387},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4751591384410858},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.46094805002212524},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4537811279296875},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4341241419315338},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.344943642616272},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25154322385787964},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2492033839225769},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2380669116973877},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08347466588020325}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6621296405792236},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6043099761009216},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5982787013053894},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5956299304962158},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5197505354881287},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4925606846809387},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4751591384410858},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.46094805002212524},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4537811279296875},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4341241419315338},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.344943642616272},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25154322385787964},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2492033839225769},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2380669116973877},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08347466588020325},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-009-0464-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-009-0464-7","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W171801003","https://openalex.org/W1439977626","https://openalex.org/W1491951867","https://openalex.org/W1975061798","https://openalex.org/W1999938187","https://openalex.org/W2001277869","https://openalex.org/W2002955940","https://openalex.org/W2003946767","https://openalex.org/W2004610033","https://openalex.org/W2016303054","https://openalex.org/W2016905747","https://openalex.org/W2020610055","https://openalex.org/W2023295713","https://openalex.org/W2026832772","https://openalex.org/W2027316781","https://openalex.org/W2039796074","https://openalex.org/W2041786371","https://openalex.org/W2043086187","https://openalex.org/W2044221553","https://openalex.org/W2052372796","https://openalex.org/W2057131692","https://openalex.org/W2061271280","https://openalex.org/W2063567490","https://openalex.org/W2072204236","https://openalex.org/W2077884988","https://openalex.org/W2088907949","https://openalex.org/W2092092154","https://openalex.org/W2108625605","https://openalex.org/W2110944184","https://openalex.org/W2140715448","https://openalex.org/W2167233690","https://openalex.org/W2330022088","https://openalex.org/W3010279532","https://openalex.org/W4249849247"],"related_works":["https://openalex.org/W4206081075","https://openalex.org/W1879432897","https://openalex.org/W2128053805","https://openalex.org/W2385515646","https://openalex.org/W4242275735","https://openalex.org/W2075305841","https://openalex.org/W3198806084","https://openalex.org/W2520583090","https://openalex.org/W2373338447","https://openalex.org/W4300638018"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}