{"id":"https://openalex.org/W1671271479","doi":"https://doi.org/10.3233/ifs-131030","title":"Krylov subspace method for fuzzy eigenvalue problem","display_name":"Krylov subspace method for fuzzy eigenvalue problem","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1671271479","doi":"https://doi.org/10.3233/ifs-131030","mag":"1671271479"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-131030","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-131030","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/A5054539902","display_name":"Pillay Kanaksabee","orcid":null},"institutions":[{"id":"https://openalex.org/I56592726","display_name":"University of Technology, Mauritius","ror":"https://ror.org/030111688","country_code":"MU","type":"education","lineage":["https://openalex.org/I56592726"]}],"countries":["MU"],"is_corresponding":false,"raw_author_name":"Pillay Kanaksabee","raw_affiliation_strings":["Department of Business Information and Software Engineering, School of Innovative Technologies and Engineering, University of Technology, Mauritius, La Tour-Koenig Pointe-aux-Sables, Republic of Mauritius"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Business Information and Software Engineering, School of Innovative Technologies and Engineering, University of Technology, Mauritius, La Tour-Koenig Pointe-aux-Sables, Republic of Mauritius","institution_ids":["https://openalex.org/I56592726"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078624536","display_name":"Kumar Dookhitram","orcid":"https://orcid.org/0000-0002-3205-6936"},"institutions":[{"id":"https://openalex.org/I56592726","display_name":"University of Technology, Mauritius","ror":"https://ror.org/030111688","country_code":"MU","type":"education","lineage":["https://openalex.org/I56592726"]}],"countries":["MU"],"is_corresponding":true,"raw_author_name":"Kumar Dookhitram","raw_affiliation_strings":["Department of Applied Mathematical Sciences, School of Innovative Technologies and Engineering, University of Technology, Mauritius, La Tour-Koenig Pointe-aux-Sables, Republic of Mauritius"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematical Sciences, School of Innovative Technologies and Engineering, University of Technology, Mauritius, La Tour-Koenig Pointe-aux-Sables, Republic of Mauritius","institution_ids":["https://openalex.org/I56592726"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024568720","display_name":"Muddun Bhuruth","orcid":"https://orcid.org/0000-0003-4233-9937"},"institutions":[{"id":"https://openalex.org/I69072986","display_name":"University of Mauritius","ror":"https://ror.org/05cyprz33","country_code":"MU","type":"education","lineage":["https://openalex.org/I69072986"]}],"countries":["MU"],"is_corresponding":false,"raw_author_name":"Muddun Bhuruth","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, University of Mauritius, R\u00e9duit, Republic of Mauritius","Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Republic of Mauritius"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Mauritius, R\u00e9duit, Republic of Mauritius","institution_ids":["https://openalex.org/I69072986"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Mauritius, Reduit, Republic of Mauritius","institution_ids":["https://openalex.org/I69072986"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5078624536"],"corresponding_institution_ids":["https://openalex.org/I56592726"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":0.7068,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69954378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"2","first_page":"717","last_page":"727"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9952999949455261,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9952999949455261,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9947999715805054,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9721999764442444,"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/krylov-subspace","display_name":"Krylov subspace","score":0.8388028144836426},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6588894128799438},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6085377335548401},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5638242959976196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5129639506340027},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4858796000480652},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39286741614341736},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3881402611732483},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16165894269943237},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.14756929874420166},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06143060326576233}],"concepts":[{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.8388028144836426},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6588894128799438},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6085377335548401},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5638242959976196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5129639506340027},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4858796000480652},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39286741614341736},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3881402611732483},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16165894269943237},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.14756929874420166},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06143060326576233},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-131030","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-131030","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":[{"id":"https://metadata.un.org/sdg/13","score":0.4399999976158142,"display_name":"Climate action"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1563653928","https://openalex.org/W1975713539","https://openalex.org/W1977343251","https://openalex.org/W1979655951","https://openalex.org/W1980357388","https://openalex.org/W1983011561","https://openalex.org/W1985133141","https://openalex.org/W1994564996","https://openalex.org/W2009737642","https://openalex.org/W2012592151","https://openalex.org/W2027073885","https://openalex.org/W2030626585","https://openalex.org/W2036102558","https://openalex.org/W2037894849","https://openalex.org/W2039641648","https://openalex.org/W2053292296","https://openalex.org/W2059586807","https://openalex.org/W2067426927","https://openalex.org/W2067775740","https://openalex.org/W2073955633","https://openalex.org/W2083301174","https://openalex.org/W2083676493","https://openalex.org/W2152581364","https://openalex.org/W2161208271","https://openalex.org/W2170112393","https://openalex.org/W2253451801","https://openalex.org/W2274673058","https://openalex.org/W2912565176","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2798286561","https://openalex.org/W1980381208","https://openalex.org/W3161880765","https://openalex.org/W2942315554","https://openalex.org/W2106635645","https://openalex.org/W2153179908","https://openalex.org/W1537831955","https://openalex.org/W3134028852","https://openalex.org/W3105209344","https://openalex.org/W2323113259"],"abstract_inverted_index":{"The":[0,77,112],"eigenvalue":[1,75],"problem":[2],"arises":[3],"in":[4,9],"many":[5],"application":[6],"areas":[7],"and":[8,29,59],"the":[10,19,24,35,51,68,81,84,87,102,121,130,133],"fuzzy":[11,46,74,138,143],"setting,":[12],"focus":[13],"has":[14],"always":[15],"been":[16],"geared":[17],"towards":[18],"finding":[20],"of":[21,27,37,41,70,73,83,101,132,141],"solution":[22,69],"for":[23,67,136],"whole":[25],"set":[26],"eigenvalues":[28],"corresponding":[30],"eigenvectors.":[31],"This":[32],"paper":[33],"introduces":[34],"computation":[36],"a":[38,42,142],"few":[39],"eigenpairs":[40,140],"matrix":[43,53],"with":[44,104],"triangular":[45],"numbers":[47],"as":[48],"elements,":[49],"where":[50,86],"modal":[52],"is":[54,65,96],"assumed":[55],"to":[56,98,106,120,128],"be":[57],"sparse":[58],"real":[60],"symmetric.":[61],"A":[62],"two-step":[63],"procedure":[64],"developed":[66],"this":[71],"type":[72],"problem.":[76],"first":[78],"step":[79,114],"solves":[80],"1-cut":[82],"problem,":[85],"well-known":[88],"Krylov":[89],"subspace":[90],"method,":[91],"implicitly":[92],"restarted":[93],"Lanczos":[94],"algorithm,":[95],"employed":[97],"approximate":[99,122],"part":[100],"spectrum":[103],"respect":[105],"either":[107],"smallest":[108],"or":[109],"largest":[110],"eigenvalues.":[111],"second":[113],"assigns":[115],"unknown":[116],"symmetric":[117,139],"linear":[118],"spreads":[119],"eigenpairs.":[123],"Numerical":[124],"experiments":[125],"are":[126],"provided":[127],"illustrate":[129],"efficiency":[131],"proposed":[134],"scheme":[135],"determining":[137],"matrix.":[144]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}