{"id":"https://openalex.org/W2026478723","doi":"https://doi.org/10.1142/s0218488597000476","title":"Fuzzy Adjacency between Image Objects","display_name":"Fuzzy Adjacency between Image Objects","publication_year":1997,"publication_date":"1997-12-01","ids":{"openalex":"https://openalex.org/W2026478723","doi":"https://doi.org/10.1142/s0218488597000476","mag":"2026478723"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488597000476","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488597000476","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based 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/A5088407901","display_name":"Isabelle Bloch","orcid":"https://orcid.org/0000-0002-6984-1532"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I38260057","display_name":"In-Q-Tel","ror":"https://ror.org/02qp5k481","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I38260057"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Isabelle Bloch","raw_affiliation_strings":["Ecole Nationale Sup\u00e9rieure des T\u00e9l\u00e9communications - Dpt Images - CNRS URA 820 46 rue Barrault, 75634 Paris Cedex 13, France","Tel: +33 1 45 81 75 85, Fax: +33 1 45 81 37 94"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Nationale Sup\u00e9rieure des T\u00e9l\u00e9communications - Dpt Images - CNRS URA 820 46 rue Barrault, 75634 Paris Cedex 13, France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Tel: +33 1 45 81 75 85, Fax: +33 1 45 81 37 94","institution_ids":["https://openalex.org/I38260057"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031369629","display_name":"Henri Ma\u0131\u0302tre","orcid":"https://orcid.org/0000-0003-1314-2799"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I38260057","display_name":"In-Q-Tel","ror":"https://ror.org/02qp5k481","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I38260057"]}],"countries":["FR","US"],"is_corresponding":false,"raw_author_name":"Henri Ma\u00eetre","raw_affiliation_strings":["Ecole Nationale Sup\u00e9rieure des T\u00e9l\u00e9communications - Dpt Images - CNRS URA 820 46 rue Barrault, 75634 Paris Cedex 13, France","Tel: +33 1 45 81 75 85, Fax: +33 1 45 81 37 94"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ecole Nationale Sup\u00e9rieure des T\u00e9l\u00e9communications - Dpt Images - CNRS URA 820 46 rue Barrault, 75634 Paris Cedex 13, France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Tel: +33 1 45 81 75 85, Fax: +33 1 45 81 37 94","institution_ids":["https://openalex.org/I38260057"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027232634","display_name":"Morteza Anvari","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Morteza Anvari","raw_affiliation_strings":["University of California Berkeley, Computer Science Division, Berkeley CA 94720, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California Berkeley, Computer Science Division, Berkeley CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.5798,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.92795283,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"05","issue":"06","first_page":"615","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9697999954223633,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9697999954223633,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9629999995231628,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9473999738693237,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/adjacency-list","display_name":"Adjacency list","score":0.8511556386947632},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5460240840911865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.494806706905365},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.48227694630622864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47857168316841125},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4574664235115051},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.4442819654941559},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.4287194013595581},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.4263668656349182},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.42026615142822266},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.35869917273521423},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3490021228790283},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33456653356552124},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.24394994974136353}],"concepts":[{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.8511556386947632},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5460240840911865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.494806706905365},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.48227694630622864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47857168316841125},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4574664235115051},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.4442819654941559},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.4287194013595581},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.4263668656349182},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.42026615142822266},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.35869917273521423},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3490021228790283},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33456653356552124},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.24394994974136353}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488597000476","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488597000476","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2611163850","https://openalex.org/W1980812295","https://openalex.org/W3015250136","https://openalex.org/W1845849701","https://openalex.org/W2044218713","https://openalex.org/W2625268413","https://openalex.org/W2962989220","https://openalex.org/W2379234996","https://openalex.org/W4247900000","https://openalex.org/W2954562150"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,39,49,73,84,86,89,101,116,148,158,202,223,229,243],"adjacency":[3,40,103,107,120,165,188],"has":[4],"a":[5,30,87,99,114,122,146,167,199],"strong":[6],"interest":[7],"for":[8,186,246],"image":[9,65,160],"processing":[10,66],"and":[11,105,151,180],"pattern":[12,34,250],"recognition,":[13],"since":[14],"it":[15],"denotes":[16],"an":[17,25],"important":[18],"relationship":[19],"between":[20,108,131,169],"objects":[21,111,153],"or":[22,52,196],"regions":[23],"in":[24,32,46,64,175,226,248],"image,":[26],"widely":[27],"used":[28],"as":[29,98,145],"feature":[31],"model-based":[33,249],"recognition.":[35,251],"A":[36],"crisp":[37],"definition":[38],"often":[41],"leads":[42],"to":[43,59,79,112,154,189,240],"low":[44],"robustness":[45],"the":[47,71,92,102,129,132,135,149,159,227],"presence":[48],"noise,":[50],"imprecision,":[51],"segmentation":[53],"errors.":[54],"We":[55,118,162,182],"propose":[56,183],"two":[57,80,109],"approaches":[58,77],"cope":[60],"with":[61],"spatial":[62,143],"imprecision":[63,97,140],"applications,":[67],"both":[68],"based":[69],"on":[70,128,238],"framework":[72,228],"fuzzy":[74,123,156,170,190,206,216,230],"sets.":[75,171],"These":[76],"lead":[78],"completely":[81],"different":[82],"classes":[83],"definitions":[85],"degree":[88],"adjacency.":[90],"In":[91,134],"first":[93],"approach,":[94,137],"we":[95,138,218,234],"introduce":[96,139],"property":[100,147],"relation,":[104],"consider":[106,152],"(crisp)":[110],"be":[113,155],"matter":[115],"degree.":[117],"represent":[119,164],"by":[121,166,193,197],"relation":[124,168],"whose":[125],"value":[126],"depends":[127],"distance":[130],"objects.":[133],"second":[136],"(in":[141],"particular":[142],"imprecision)":[144],"objects,":[150],"subsets":[157],"space.":[161],"then":[163],"This":[172],"approach":[173],"is,":[174],"our":[176],"opinion,":[177],"more":[178,212],"powerful":[179],"general.":[181],"several":[184],"ways":[185],"extending":[187],"sets,":[191],"either":[192],"using":[194,198],"\u03b1-cuts,":[195],"formal":[200],"translation":[201],"binary":[203],"equations":[204,210],"into":[205,215],"ones.":[207],"Since":[208],"set":[209,221],"are":[211],"easily":[213],"translated":[214],"terms,":[217],"shall":[219],"privilege":[220],"representations":[222],"adjacency,":[224,244],"particularly":[225],"mathematical":[231],"morphology.":[232],"Finally,":[233],"give":[235],"some":[236],"hints":[237],"how":[239],"compare":[241],"degrees":[242],"typically":[245],"applications":[247]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
