{"id":"https://openalex.org/W4382678752","doi":"https://doi.org/10.3233/jifs-231909","title":"A new characterization of the product of (L, M)-fuzzy convex structures1","display_name":"A new characterization of the product of (L, M)-fuzzy convex structures1","publication_year":2023,"publication_date":"2023-06-30","ids":{"openalex":"https://openalex.org/W4382678752","doi":"https://doi.org/10.3233/jifs-231909"},"language":"en","primary_location":{"id":"doi:10.3233/jifs-231909","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-231909","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/A5080757272","display_name":"Hu Zhao","orcid":"https://orcid.org/0000-0002-3094-1210"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hu Zhao","raw_affiliation_strings":["School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, P.R. China","School of Science, Xi'an Polytechnic University, Xi'an, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, P.R. China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Science, Xi'an Polytechnic University, Xi'an, P.R. China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068477431","display_name":"Xia Hu","orcid":"https://orcid.org/0000-0003-2234-3226"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xia Hu","raw_affiliation_strings":["School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, P.R. China","School of Science, Xi'an Polytechnic University, Xi'an, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, P.R. China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"School of Science, Xi'an Polytechnic University, Xi'an, P.R. China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061080084","display_name":"Gui-Xiu Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I20616075","display_name":"Qinghai Normal University","ror":"https://ror.org/03az1t892","country_code":"CN","type":"education","lineage":["https://openalex.org/I20616075"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gui-Xiu Chen","raw_affiliation_strings":["School of Mathematics and Statistics, Qinghai Normal University, Xining, P.R. China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Qinghai Normal University, Xining, P.R. China","institution_ids":["https://openalex.org/I20616075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5080757272"],"corresponding_institution_ids":["https://openalex.org/I27599042"],"apc_list":null,"apc_paid":null,"fwci":0.7636,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73994795,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"45","issue":"3","first_page":"4535","last_page":"4545"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9934999942779541,"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":0.9853000044822693,"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/convex-hull","display_name":"Convex hull","score":0.8168430924415588},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6914214491844177},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6268726587295532},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6007664799690247},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.5085002183914185},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.5022468566894531},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4773671329021454},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.47483497858047485},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44061028957366943},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4299488961696625},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.42384690046310425},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.4113297760486603},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36309096217155457},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3258429169654846},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.24812883138656616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17857882380485535},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08696293830871582},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08407735824584961},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06772330403327942},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.03135371208190918}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.8168430924415588},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6914214491844177},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6268726587295532},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6007664799690247},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.5085002183914185},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.5022468566894531},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4773671329021454},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.47483497858047485},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44061028957366943},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4299488961696625},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.42384690046310425},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.4113297760486603},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36309096217155457},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3258429169654846},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.24812883138656616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17857882380485535},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08696293830871582},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08407735824584961},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06772330403327942},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.03135371208190918},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/jifs-231909","is_oa":false,"landing_page_url":"https://doi.org/10.3233/jifs-231909","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1976823852","https://openalex.org/W1988233222","https://openalex.org/W2292733709","https://openalex.org/W2509332367","https://openalex.org/W2522482723","https://openalex.org/W2737051083","https://openalex.org/W2794266756","https://openalex.org/W2803787463","https://openalex.org/W2804806477","https://openalex.org/W2909272628","https://openalex.org/W2946042770","https://openalex.org/W2964676272","https://openalex.org/W2965701157","https://openalex.org/W2990240937","https://openalex.org/W3005092492","https://openalex.org/W3008949794","https://openalex.org/W3212849406","https://openalex.org/W3217529729","https://openalex.org/W4211007335","https://openalex.org/W4310867500","https://openalex.org/W6725454132","https://openalex.org/W6749052091","https://openalex.org/W6876215957"],"related_works":["https://openalex.org/W868123585","https://openalex.org/W2391247224","https://openalex.org/W2026600343","https://openalex.org/W2374624997","https://openalex.org/W4311073519","https://openalex.org/W2356261519","https://openalex.org/W47384959","https://openalex.org/W4382519084","https://openalex.org/W2478309485","https://openalex.org/W2913596570"],"abstract_inverted_index":{"In":[0,46],"order":[1],"to":[2],"give":[3],"a":[4,58],"characterization":[5,60],"of":[6,9,16,30,38,51,61,64],"the":[7,14,28,36,48,62],"product":[8,63],"(L,":[10,18,31,40,53,65],"M)-fuzzy":[11,19,32,41,54,66],"convex":[12,17,33,39,52,67],"structures,":[13],"notion":[15],"hull":[20,42,55],"operators":[21,43,56],"is":[22,25],"presented,":[23],"it":[24],"proved":[26],"that":[27],"category":[29,37],"structures":[34,68],"and":[35,57],"are":[44,69],"isomorphic.":[45],"particular,":[47],"lattices":[49],"structure":[50],"new":[59],"given.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}