{"id":"https://openalex.org/W2048569989","doi":"https://doi.org/10.3390/e14101864","title":"Maximum-Entropy Method for Evaluating the Slope Stability of Earth Dams","display_name":"Maximum-Entropy Method for Evaluating the Slope Stability of Earth Dams","publication_year":2012,"publication_date":"2012-10-02","ids":{"openalex":"https://openalex.org/W2048569989","doi":"https://doi.org/10.3390/e14101864","mag":"2048569989"},"language":"en","primary_location":{"id":"doi:10.3390/e14101864","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14101864","pdf_url":"https://www.mdpi.com/1099-4300/14/10/1864/pdf?version=1424784884","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/14/10/1864/pdf?version=1424784884","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041698589","display_name":"Chuanqi Li","orcid":"https://orcid.org/0000-0002-8163-5432"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chuanqi Li","raw_affiliation_strings":["School of Civil Engineering, Shandong University, Jinan 250014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Shandong University, Jinan 250014, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100447180","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0003-3681-7955"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["School of Civil Engineering, Shandong University, Jinan 250014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Shandong University, Jinan 250014, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100328342","display_name":"Shuai Wang","orcid":"https://orcid.org/0000-0003-1636-5525"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuai Wang","raw_affiliation_strings":["School of Civil Engineering, Shandong University, Jinan 250014, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Civil Engineering, Shandong University, Jinan 250014, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041698589"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.648,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.7522846,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"14","issue":"10","first_page":"1864","last_page":"1876"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T12293","display_name":"Dam Engineering and Safety","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11046","display_name":"Geotechnical Engineering and Analysis","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.7515456080436707},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.7262178063392639},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.6579465270042419},{"id":"https://openalex.org/keywords/slope-stability","display_name":"Slope stability","score":0.5596672892570496},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.546440601348877},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.5385490655899048},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5298640131950378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5230563282966614},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.49178341031074524},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4831663966178894},{"id":"https://openalex.org/keywords/binary-entropy-function","display_name":"Binary entropy function","score":0.4605289101600647},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4098552465438843},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32003656029701233},{"id":"https://openalex.org/keywords/geotechnical-engineering","display_name":"Geotechnical engineering","score":0.20391613245010376},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19594240188598633},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.18015018105506897},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08668848872184753}],"concepts":[{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.7515456080436707},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.7262178063392639},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.6579465270042419},{"id":"https://openalex.org/C110069353","wikidata":"https://www.wikidata.org/wiki/Q961278","display_name":"Slope stability","level":2,"score":0.5596672892570496},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.546440601348877},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.5385490655899048},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5298640131950378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5230563282966614},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.49178341031074524},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4831663966178894},{"id":"https://openalex.org/C44415725","wikidata":"https://www.wikidata.org/wiki/Q4913893","display_name":"Binary entropy function","level":3,"score":0.4605289101600647},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4098552465438843},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32003656029701233},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.20391613245010376},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19594240188598633},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.18015018105506897},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08668848872184753},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e14101864","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14101864","pdf_url":"https://www.mdpi.com/1099-4300/14/10/1864/pdf?version=1424784884","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.383.1547","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.383.1547","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mdpi.com/1099-4300/14/10/1864/pdf/","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:2cfc72c981ef42ad9d5a3d25a5284635","is_oa":true,"landing_page_url":"https://doaj.org/article/2cfc72c981ef42ad9d5a3d25a5284635","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 14, Iss 10, Pp 1864-1876 (2012)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/14/10/1864/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e14101864","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 14; Issue 10; Pages: 1864-1876","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e14101864","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e14101864","pdf_url":"https://www.mdpi.com/1099-4300/14/10/1864/pdf?version=1424784884","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2048569989.pdf","grobid_xml":"https://content.openalex.org/works/W2048569989.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1556191863","https://openalex.org/W1965920338","https://openalex.org/W1967314705","https://openalex.org/W1980626417","https://openalex.org/W1991060553","https://openalex.org/W2003035369","https://openalex.org/W2013106875","https://openalex.org/W2029827834","https://openalex.org/W2032558547","https://openalex.org/W2045514380","https://openalex.org/W2046298174","https://openalex.org/W2069527243","https://openalex.org/W2070553198","https://openalex.org/W2077040909","https://openalex.org/W2085785960","https://openalex.org/W2091914419","https://openalex.org/W2130483867","https://openalex.org/W2149183242","https://openalex.org/W2392639992"],"related_works":["https://openalex.org/W2393910018","https://openalex.org/W2064875109","https://openalex.org/W2889261288","https://openalex.org/W2098475155","https://openalex.org/W1672097335","https://openalex.org/W32935261","https://openalex.org/W2176894780","https://openalex.org/W2575378359","https://openalex.org/W2963163002","https://openalex.org/W4297751392"],"abstract_inverted_index":{"The":[0,25,41,57,100,111],"slope":[1,17,54],"stability":[2],"is":[3,28,44,60,81],"a":[4],"very":[5],"important":[6],"problem":[7],"in":[8,35],"geotechnical":[9],"engineering.":[10],"This":[11],"paper":[12],"presents":[13],"an":[14],"approach":[15],"for":[16,117],"reliability":[18],"analysis":[19],"based":[20],"on":[21],"the":[22,31,37,47,53,64,70,75,86,92,103,108],"maximum-entropy":[23,58],"method.":[24,110],"key":[26],"idea":[27],"to":[29,51,62,74,85],"implement":[30],"maximum":[32],"entropy":[33],"principle":[34],"estimating":[36],"probability":[38,65],"density":[39,66],"function.":[40],"performance":[42,71],"function":[43,67,72],"formulated":[45],"by":[46],"Simplified":[48],"Bishop\u2019s":[49],"method":[50,59,113],"estimate":[52,63],"failure":[55],"probability.":[56],"used":[61],"(PDF)":[68],"of":[69,107],"subject":[73],"moment":[76],"constraints.":[77],"A":[78],"numerical":[79],"example":[80],"calculated":[82],"and":[83,91,105],"compared":[84],"Monte":[87],"Carlo":[88],"simulation":[89],"(MCS)":[90],"Advanced":[93],"First":[94],"Order":[95],"Second":[96],"Moment":[97],"Method":[98],"(AFOSM).":[99],"results":[101],"show":[102],"accuracy":[104],"efficiency":[106],"proposed":[109,112],"should":[114],"be":[115],"valuable":[116],"performing":[118],"probabilistic":[119],"analyses.":[120]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}