{"id":"https://openalex.org/W4388635702","doi":"https://doi.org/10.3390/sym15112054","title":"Statistical Fuzzy Reliability Analysis: An Explanation with Generalized Intuitionistic Fuzzy Lomax Distribution","display_name":"Statistical Fuzzy Reliability Analysis: An Explanation with Generalized Intuitionistic Fuzzy Lomax Distribution","publication_year":2023,"publication_date":"2023-11-13","ids":{"openalex":"https://openalex.org/W4388635702","doi":"https://doi.org/10.3390/sym15112054"},"language":"en","primary_location":{"id":"doi:10.3390/sym15112054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15112054","pdf_url":"https://www.mdpi.com/2073-8994/15/11/2054/pdf?version=1699841668","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/15/11/2054/pdf?version=1699841668","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032412572","display_name":"Abdul Kalam","orcid":"https://orcid.org/0009-0005-9193-2165"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Abdul Kalam","raw_affiliation_strings":["Faculty of Science, Beijing University of Technology, Beijing 100124, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035009875","display_name":"Weihu Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihu Cheng","raw_affiliation_strings":["Faculty of Science, Beijing University of Technology, Beijing 100124, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100895521","display_name":"Yang Du","orcid":"https://orcid.org/0009-0001-2799-2201"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Du","raw_affiliation_strings":["Faculty of Science, Beijing University of Technology, Beijing 100124, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103052762","display_name":"Xu Zhao","orcid":"https://orcid.org/0000-0001-9667-359X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xu Zhao","raw_affiliation_strings":["Faculty of Science, Beijing University of Technology, Beijing 100124, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Science, Beijing University of Technology, Beijing 100124, China","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5103052762"],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.2545,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60850367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"15","issue":"11","first_page":"2054","last_page":"2054"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991999864578247,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9991999864578247,"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":0.9958000183105469,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"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/reliability","display_name":"Reliability (semiconductor)","score":0.6358780860900879},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6164556741714478},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5270355343818665},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.49519315361976624},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4821176528930664},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.4534457325935364},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.4500347971916199},{"id":"https://openalex.org/keywords/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.4493560791015625},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4315037131309509},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.41870665550231934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36343151330947876},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36236172914505005},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.33885931968688965},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2512558698654175},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.10905420780181885}],"concepts":[{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6358780860900879},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6164556741714478},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5270355343818665},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.49519315361976624},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4821176528930664},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.4534457325935364},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.4500347971916199},{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.4493560791015625},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4315037131309509},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.41870665550231934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36343151330947876},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36236172914505005},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.33885931968688965},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2512558698654175},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.10905420780181885},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/sym15112054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15112054","pdf_url":"https://www.mdpi.com/2073-8994/15/11/2054/pdf?version=1699841668","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:96b5cf139b7a46dd949d7d2e5f92db10","is_oa":true,"landing_page_url":"https://doaj.org/article/96b5cf139b7a46dd949d7d2e5f92db10","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 15, Iss 11, p 2054 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/sym15112054","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym15112054","pdf_url":"https://www.mdpi.com/2073-8994/15/11/2054/pdf?version=1699841668","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Responsible consumption and production","id":"https://metadata.un.org/sdg/12"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388635702.pdf","grobid_xml":"https://content.openalex.org/works/W4388635702.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W613259165","https://openalex.org/W1643957516","https://openalex.org/W1694159215","https://openalex.org/W1980564456","https://openalex.org/W2038941270","https://openalex.org/W2049530657","https://openalex.org/W2060706257","https://openalex.org/W2072504336","https://openalex.org/W2139089045","https://openalex.org/W2277348247","https://openalex.org/W2288835755","https://openalex.org/W2331407440","https://openalex.org/W2514754342","https://openalex.org/W2594075552","https://openalex.org/W2731582136","https://openalex.org/W2756240548","https://openalex.org/W2801882539","https://openalex.org/W2803792727","https://openalex.org/W2993661693","https://openalex.org/W3010299841","https://openalex.org/W3041770475","https://openalex.org/W3045671156","https://openalex.org/W3095692217","https://openalex.org/W3118242269","https://openalex.org/W3128195261","https://openalex.org/W3204134250","https://openalex.org/W3205124314","https://openalex.org/W4211007335","https://openalex.org/W4235167380","https://openalex.org/W4297231514","https://openalex.org/W4323907168","https://openalex.org/W4366088272","https://openalex.org/W4367054719","https://openalex.org/W4378365018","https://openalex.org/W6637513923","https://openalex.org/W6680257327","https://openalex.org/W6694467677","https://openalex.org/W6702885112","https://openalex.org/W6785421163"],"related_works":["https://openalex.org/W2037428035","https://openalex.org/W2781808531","https://openalex.org/W2116249946","https://openalex.org/W2674573885","https://openalex.org/W2374152511","https://openalex.org/W2610377848","https://openalex.org/W2048452567","https://openalex.org/W2166637398","https://openalex.org/W1486684451","https://openalex.org/W4361984403"],"abstract_inverted_index":{"To":[0],"illustrate":[1],"data":[2],"uncertainty,":[3],"intuitionistic":[4,34,77,125,156],"fuzzy":[5,35,78,113,126,157],"sets":[6,36,107,114],"simply":[7],"use":[8],"membership":[9],"and":[10,60,104,182,189],"non-membership":[11],"degrees.":[12],"However,":[13],"in":[14,84],"some":[15],"cases,":[16],"a":[17,40,49,67,75,93,109,123,132,197],"more":[18,50,94],"complex":[19,175],"strategy":[20],"is":[21,32],"required":[22],"to":[23,81],"deal":[24],"with":[25],"imprecise":[26],"data.":[27],"One":[28],"of":[29,87,97,134,154,171,174,180],"these":[30],"techniques":[31],"generalized":[33,57,76,124,155],"(GIFSs),":[37],"which":[38],"provide":[39,48],"comprehensive":[41],"framework":[42,153],"by":[43],"adding":[44],"extra":[45],"factors":[46],"that":[47,144],"realistic":[51],"explanation":[52],"for":[53,63,108,147,166],"uncertainty.":[54],"GIFSs":[55],"contain":[56],"membership,":[58],"non-membership,":[59],"hesitation":[61],"degrees":[62],"establishing":[64,118],"symmetry":[65],"around":[66],"reference":[68],"point.":[69],"In":[70],"this":[71],"paper,":[72],"we":[73],"applied":[74],"set":[79,194],"approach":[80],"investigate":[82],"ambiguity":[83],"the":[85,88,98,119,129,148,152,168,178,184],"parameter":[86,121],"Lomax":[89,149],"life":[90],"distribution,":[91],"seeking":[92],"symmetric":[95],"assessment":[96],"reliability":[99,102,135,141,160,169],"measurements.":[100],"Several":[101],"measurements":[103,161],"associated":[105],"cut":[106,193],"novel":[110],"L-R":[111],"type":[112],"are":[115,145,162,186],"derived":[116],"after":[117],"scale":[120],"as":[122,138],"number.":[127],"Additionally,":[128],"study":[130],"includes":[131],"range":[133],"measurements,":[136],"such":[137],"odds,":[139],"hazards,":[140],"functions,":[142],"etc.,":[143],"designed":[146],"distribution":[150],"within":[151],"sets.":[158],"These":[159],"an":[163],"essential":[164],"tool":[165],"evaluating":[167],"characteristics":[170],"various":[172],"types":[173],"systems.":[176],"For":[177],"purpose":[179],"interpretation":[181],"application,":[183],"results":[185],"visually":[187],"displayed":[188],"compared":[190],"across":[191],"different":[192],"values":[195],"using":[196],"numerical":[198],"example.":[199]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
