{"id":"https://openalex.org/W2883533091","doi":"https://doi.org/10.3233/jifs-172018","title":"RETRACTED: On M-fuzzifying geometric interval spaces","display_name":"RETRACTED: On M-fuzzifying geometric interval spaces","publication_year":2018,"publication_date":"2018-07-12","ids":{"openalex":"https://openalex.org/W2883533091","doi":"https://doi.org/10.3233/jifs-172018","mag":"2883533091"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-172018","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-172018","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy 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/A5049067621","display_name":"Xiu-Yun Wu","orcid":"https://orcid.org/0000-0002-9388-7821"},"institutions":[{"id":"https://openalex.org/I24407930","display_name":"Hunan University of Science and Engineering","ror":"https://ror.org/04ymz0q33","country_code":"CN","type":"education","lineage":["https://openalex.org/I24407930"]},{"id":"https://openalex.org/I4610292","display_name":"Xiangtan University","ror":"https://ror.org/00xsfaz62","country_code":"CN","type":"education","lineage":["https://openalex.org/I4610292"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiu-Yun Wu","raw_affiliation_strings":["School of Mathematics and Computational Science, Xiangtan University, Hunan, China","School of Science, Hunan University of Science and Engineering, Hunan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Xiangtan University, Hunan, China","institution_ids":["https://openalex.org/I4610292"]},{"raw_affiliation_string":"School of Science, Hunan University of Science and Engineering, Hunan, China","institution_ids":["https://openalex.org/I24407930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040178189","display_name":"Shi-Zhong Bai","orcid":null},"institutions":[{"id":"https://openalex.org/I98834328","display_name":"Wuyi University","ror":"https://ror.org/059djzq42","country_code":"CN","type":"education","lineage":["https://openalex.org/I98834328"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shi-Zhong Bai","raw_affiliation_strings":["School of Mathematics and Computational Science, Wuyi University, Guangdong, China","E-mails:"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Computational Science, Wuyi University, Guangdong, China","institution_ids":["https://openalex.org/I98834328"]},{"raw_affiliation_string":"E-mails:","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049067621"],"corresponding_institution_ids":["https://openalex.org/I24407930","https://openalex.org/I4610292"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08940281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"5","first_page":"5679","last_page":"5687"},"is_retracted":true,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.998199999332428,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.998199999332428,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9976000189781189,"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":0.98580002784729,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.9327383041381836},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6690073609352112},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6378865838050842},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5795702934265137},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5398399829864502},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48336261510849},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.4604526162147522},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.453877329826355},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3827378749847412},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.34598392248153687},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3252902626991272},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18047958612442017}],"concepts":[{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.9327383041381836},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6690073609352112},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6378865838050842},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5795702934265137},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5398399829864502},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48336261510849},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.4604526162147522},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.453877329826355},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3827378749847412},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.34598392248153687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3252902626991272},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18047958612442017},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-172018","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-172018","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent & Fuzzy Systems","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":79,"referenced_works":["https://openalex.org/W202198668","https://openalex.org/W1174510090","https://openalex.org/W1216298410","https://openalex.org/W1515724494","https://openalex.org/W1571400085","https://openalex.org/W1829951598","https://openalex.org/W1867374318","https://openalex.org/W1899626954","https://openalex.org/W1939584646","https://openalex.org/W1954281074","https://openalex.org/W1967218248","https://openalex.org/W1971875039","https://openalex.org/W1977184551","https://openalex.org/W1980564456","https://openalex.org/W1981107087","https://openalex.org/W1992193696","https://openalex.org/W1998676999","https://openalex.org/W2012288218","https://openalex.org/W2013932252","https://openalex.org/W2016651118","https://openalex.org/W2017454381","https://openalex.org/W2020481666","https://openalex.org/W2026951642","https://openalex.org/W2031241748","https://openalex.org/W2036575376","https://openalex.org/W2040920346","https://openalex.org/W2047765759","https://openalex.org/W2052396606","https://openalex.org/W2058045914","https://openalex.org/W2060907774","https://openalex.org/W2078423530","https://openalex.org/W2079457935","https://openalex.org/W2092165551","https://openalex.org/W2104077967","https://openalex.org/W2124026719","https://openalex.org/W2125268144","https://openalex.org/W2130104797","https://openalex.org/W2136539703","https://openalex.org/W2144232912","https://openalex.org/W2157687268","https://openalex.org/W2165024836","https://openalex.org/W2184989861","https://openalex.org/W2191035346","https://openalex.org/W2201498186","https://openalex.org/W2218209912","https://openalex.org/W2267857379","https://openalex.org/W2270548663","https://openalex.org/W2292359941","https://openalex.org/W2305888507","https://openalex.org/W2331382965","https://openalex.org/W2345848912","https://openalex.org/W2396040005","https://openalex.org/W2437782838","https://openalex.org/W2461507070","https://openalex.org/W2463044584","https://openalex.org/W2512019570","https://openalex.org/W2533445771","https://openalex.org/W2548735830","https://openalex.org/W2590327654","https://openalex.org/W2601289346","https://openalex.org/W2732135403","https://openalex.org/W2734401115","https://openalex.org/W2734467534","https://openalex.org/W2734543528","https://openalex.org/W2736287459","https://openalex.org/W2744824089","https://openalex.org/W2747160131","https://openalex.org/W2759777718","https://openalex.org/W2761016817","https://openalex.org/W2765248124","https://openalex.org/W2767160721","https://openalex.org/W2768661755","https://openalex.org/W2769278513","https://openalex.org/W2778309520","https://openalex.org/W2784775847","https://openalex.org/W2790677216","https://openalex.org/W4211007335","https://openalex.org/W4239855057","https://openalex.org/W4252105904"],"related_works":["https://openalex.org/W2007718591","https://openalex.org/W3035601835","https://openalex.org/W2997325129","https://openalex.org/W3204527492","https://openalex.org/W2930412558","https://openalex.org/W2747160131","https://openalex.org/W4386468199","https://openalex.org/W2811080937","https://openalex.org/W4390616722","https://openalex.org/W2889230580"],"abstract_inverted_index":{"This":[0],"article":[1],"has":[2],"been":[3],"retracted.":[4],"A":[5],"retraction":[6],"notice":[7],"can":[8],"be":[9],"found":[10],"at":[11],"https://doi.org/10.3233/JIFS-219434":[12],".":[13]},"counts_by_year":[],"updated_date":"2026-02-09T05:59:30.833894","created_date":"2018-08-03T00:00:00"}