{"id":"https://openalex.org/W2107817757","doi":"https://doi.org/10.1109/fuzz.2001.1009039","title":"A pseudo metric on fuzzy sets based on the satisfaction function with viewpoint","display_name":"A pseudo metric on fuzzy sets based on the satisfaction function with viewpoint","publication_year":2005,"publication_date":"2005-08-24","ids":{"openalex":"https://openalex.org/W2107817757","doi":"https://doi.org/10.1109/fuzz.2001.1009039","mag":"2107817757"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2001.1009039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1009039","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","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/A5100691761","display_name":"Youngil Kim","orcid":"https://orcid.org/0000-0003-1775-0572"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Young-il Kim","raw_affiliation_strings":["Division of Computer Science, Department of EECS, KAIST, Taejon, South Korea","Div. of Comput. Sci., KAIST, Taejon, South Korea"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, Department of EECS, KAIST, Taejon, South Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Div. of Comput. Sci., KAIST, Taejon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108505232","display_name":"K.H. Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"K.H. Lee","raw_affiliation_strings":["Division of Computer Science, Department of EECS, KAIST, Taejon, South Korea","Div. of Comput. Sci., KAIST, Taejon, South Korea"],"affiliations":[{"raw_affiliation_string":"Division of Computer Science, Department of EECS, KAIST, Taejon, South Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Div. of Comput. Sci., KAIST, Taejon, South Korea","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100691761"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17236221,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"654","last_page":"657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9958000183105469,"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":0.9958000183105469,"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":0.9904000163078308,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9866999983787537,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.6847387552261353},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.607663631439209},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5932570099830627},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5768446326255798},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5732022523880005},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5409563183784485},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5037450194358826},{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.4965880513191223},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.48726072907447815},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4683004915714264},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.42091941833496094},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.41440558433532715},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4120677709579468},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3498098850250244},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2954099178314209},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27557462453842163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24940654635429382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09722620248794556}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6847387552261353},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.607663631439209},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5932570099830627},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5768446326255798},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5732022523880005},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5409563183784485},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5037450194358826},{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.4965880513191223},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.48726072907447815},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4683004915714264},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.42091941833496094},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.41440558433532715},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4120677709579468},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3498098850250244},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2954099178314209},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27557462453842163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24940654635429382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09722620248794556},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2001.1009039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1009039","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6299999952316284,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1585005850","https://openalex.org/W1881714225","https://openalex.org/W2004360643","https://openalex.org/W2009474911","https://openalex.org/W2011291958","https://openalex.org/W2016303054","https://openalex.org/W2016565488","https://openalex.org/W2026832772","https://openalex.org/W2032846856","https://openalex.org/W2039796074","https://openalex.org/W2053454023","https://openalex.org/W2056021265","https://openalex.org/W2086390519","https://openalex.org/W2087055909","https://openalex.org/W2088288440","https://openalex.org/W2103668371","https://openalex.org/W4214831569"],"related_works":["https://openalex.org/W2674573885","https://openalex.org/W2166637398","https://openalex.org/W2375182298","https://openalex.org/W2347394627","https://openalex.org/W2025902904","https://openalex.org/W3186561448","https://openalex.org/W2573957424","https://openalex.org/W22698454","https://openalex.org/W3139034442","https://openalex.org/W2026829949"],"abstract_inverted_index":{"Deciding":[0],"a":[1,38,53,73,93,99],"proper":[2],"metric":[3,36,101],"for":[4,52],"crisp":[5,111],"values":[6,20,27,42,57,97,108],"are":[7,13,21],"well":[8],"established":[9],"and":[10,132],"the":[11,16,25,66,84,104,114,119,125,128],"results":[12],"clear,":[14],"but":[15],"operation":[17],"on":[18,37,65,69,83,92,118],"fuzzy":[19,26,96,107],"inherently":[22],"ambiguous":[23],"because":[24],"include":[28],"uncertainty.":[29],"This":[30],"paper":[31],"deals":[32],"with":[33,43,72],"this":[34],"distance":[35,61,90,120,130],"set":[39,54,94,105],"of":[40,55,86,95,106,116],"crisp/fuzzy":[41,56],"different":[44],"viewpoints.":[45],"A":[46],"bounded":[47,100],"pseudo-metric":[48],"function":[49,62,68,91,102,121,131],"(distance":[50],"function)":[51],"is":[58,63,122,134],"proposed.":[59],"The":[60,75,88],"based":[64],"satisfaction":[67],"continuous":[70],"domain":[71,85],"viewpoint.":[74],"viewpoint":[76],"was":[77],"adopted":[78],"to":[79],"incorporate":[80],"user's":[81],"preferences":[82],"discourse.":[87],"proposed":[89,129],"becomes":[98],"when":[103],"only":[109],"contains":[110],"values.":[112],"Then":[113],"role":[115],"viewpoints":[117],"discussed.":[123],"Finally,":[124],"relation":[126],"between":[127],"defuzzification":[133],"shown.":[135]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}