{"id":"https://openalex.org/W2738658019","doi":"https://doi.org/10.1109/tfuzz.2017.2729503","title":"Lattice-valued interval operators and its induced lattice-valued convex structures","display_name":"Lattice-valued interval operators and its induced lattice-valued convex structures","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2738658019","doi":"https://doi.org/10.1109/tfuzz.2017.2729503","mag":"2738658019"},"language":"en","primary_location":{"id":"doi:10.1109/tfuzz.2017.2729503","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2017.2729503","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on 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/A5034645348","display_name":"Bin Pang","orcid":"https://orcid.org/0000-0001-5092-8278"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Pang","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032161726","display_name":"Zhen-Yu Xiu","orcid":null},"institutions":[{"id":"https://openalex.org/I24201400","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I24201400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen-Yu Xiu","raw_affiliation_strings":["College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China","institution_ids":["https://openalex.org/I24201400"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.079,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.97988107,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9991000294685364,"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":0.9991000294685364,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9961000084877014,"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/lattice","display_name":"Lattice (music)","score":0.6200547218322754},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5562863349914551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5186909437179565},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3705345392227173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23456737399101257},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15527772903442383}],"concepts":[{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6200547218322754},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5562863349914551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5186909437179565},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3705345392227173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23456737399101257},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15527772903442383},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tfuzz.2017.2729503","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tfuzz.2017.2729503","pdf_url":null,"source":{"id":"https://openalex.org/S134177497","display_name":"IEEE Transactions on Fuzzy Systems","issn_l":"1063-6706","issn":["1063-6706","1941-0034"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6933402965","display_name":"\u683c\u503c\u6a21\u7cca\u62df\u9635\u7406\u8bba\u7684\u8fdb\u4e00\u6b65\u7814\u7a76\u53ca\u5176\u5e94\u7528","funder_award_id":"11371002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320311826","display_name":"Chengdu University of Information Technology","ror":"https://ror.org/01yxwrh59"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W109570399","https://openalex.org/W426960490","https://openalex.org/W577570849","https://openalex.org/W1533994011","https://openalex.org/W1665111972","https://openalex.org/W1971733013","https://openalex.org/W1978468612","https://openalex.org/W1979041815","https://openalex.org/W1981709043","https://openalex.org/W1989844577","https://openalex.org/W1990736636","https://openalex.org/W1994744765","https://openalex.org/W2007388400","https://openalex.org/W2022137179","https://openalex.org/W2051619498","https://openalex.org/W2056206221","https://openalex.org/W2074523736","https://openalex.org/W2081815105","https://openalex.org/W2084814759","https://openalex.org/W2089536437","https://openalex.org/W2150862113","https://openalex.org/W2158662559","https://openalex.org/W2169734403","https://openalex.org/W2281885546","https://openalex.org/W2292733709","https://openalex.org/W2314015870","https://openalex.org/W2321359234","https://openalex.org/W2439097724","https://openalex.org/W2509332367","https://openalex.org/W2522482723","https://openalex.org/W2735093391","https://openalex.org/W2737051083","https://openalex.org/W4249327401","https://openalex.org/W6637159725","https://openalex.org/W6718145753","https://openalex.org/W6725454132","https://openalex.org/W6740763111","https://openalex.org/W6758921281"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Galois":[0,24,63,111],"correspondence":[1,25,64,112],"in":[2,9,92,137],"category":[3,67,74,82,94,115,122,128,139],"theory":[4,31],"plays":[5],"an":[6],"important":[7],"role":[8],"establishing":[10],"the":[11,30,39,66,73,81,93,114,121,127,138],"relationships":[12,48],"between":[13,65,113],"different":[14],"types":[15],"of":[16,32,41,68,75,83,95,116,123,129,140],"spatial":[17],"structures.":[18,35,55],"In":[19,79],"this":[20],"paper,":[21],"we":[22],"apply":[23],"as":[26,99,144],"a":[27,62,100,110,145],"tool":[28],"to":[29],"lattice-valued":[33,42,69,96,117,141],"convex":[34,51,77,87],"We":[36],"mainly":[37],"introduce":[38],"concept":[40],"interval":[43,70,97,118,142],"operators":[44],"and":[45,53,72,120],"discuss":[46],"its":[47],"with":[49],"L-fuzzifying":[50,76,86],"structures":[52],"L-convex":[54,124,132],"It":[56],"is":[57,61,105,109],"shown":[58],"that":[59,107],"there":[60,108],"spaces":[71,88,98,119,133,143],"spaces.":[78,125],"particular,":[80],"arity":[84,130],"2":[85,131],"can":[89,134],"be":[90,135],"embedded":[91,136],"reflective":[101,146],"subcategory.":[102,147],"Also,":[103],"it":[104],"proved":[106],"Specially,":[126]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}