{"id":"https://openalex.org/W2145762453","doi":"https://doi.org/10.1109/fuzzy.2007.4295484","title":"Fuzzy temporal random sets with an application to cell biology","display_name":"Fuzzy temporal random sets with an application to cell biology","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2145762453","doi":"https://doi.org/10.1109/fuzzy.2007.4295484","mag":"2145762453"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2007.4295484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2007.4295484","pdf_url":null,"source":{"id":"https://openalex.org/S4210187232","display_name":"Proceedings of ... IEEE International Conference on Fuzzy Systems","issn_l":"1098-7584","issn":["1098-7584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Fuzzy Systems Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5085290863","display_name":"Teresa Le\u00f3n","orcid":"https://orcid.org/0000-0001-5171-4159"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Teresa Leon","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Valencia, Valencia, Spain","Valencia Univ., Valencia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Valencia, Valencia, Spain","institution_ids":["https://openalex.org/I16097986"]},{"raw_affiliation_string":"Valencia Univ., Valencia","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085379073","display_name":"Rafael Sebasti\u00e1n","orcid":"https://orcid.org/0000-0001-6746-5740"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rafael Sebastian","raw_affiliation_strings":["Department of Computer Science, University of Valencia, Valencia, Spain","Department of Computer Science, University of Valencia, Avda. Vicent Andres Estell\u00e9s, 46100 Burjassot, Valencia, Spain. phone: +34 96 3543977; email: rafa.sebastian@uv.es"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Valencia, Valencia, Spain","institution_ids":["https://openalex.org/I16097986"]},{"raw_affiliation_string":"Department of Computer Science, University of Valencia, Avda. Vicent Andres Estell\u00e9s, 46100 Burjassot, Valencia, Spain. phone: +34 96 3543977; email: rafa.sebastian@uv.es","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076964072","display_name":"Guillermo Ayala","orcid":"https://orcid.org/0000-0002-6231-2865"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Guillermo Ayala","raw_affiliation_strings":["Department of Statistics and Operations Research, University of Valencia, Valencia, Spain","Valencia Univ., Valencia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of Valencia, Valencia, Spain","institution_ids":["https://openalex.org/I16097986"]},{"raw_affiliation_string":"Valencia Univ., Valencia","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052440092","display_name":"Mar\u00eda Elena D\u00edaz","orcid":"https://orcid.org/0000-0002-6818-6943"},"institutions":[{"id":"https://openalex.org/I16097986","display_name":"Universitat de Val\u00e8ncia","ror":"https://ror.org/043nxc105","country_code":"ES","type":"education","lineage":["https://openalex.org/I16097986"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Maria Elena Diaz","raw_affiliation_strings":["Department of Computer Science, University of Valencia, Valencia, Spain","Department of Computer Science, University of Valencia, Avda. Vicent Andres Estell\u00e9s, 46100 Burjassot, Valencia, Spain. phone: +34 96 3543977; email: elena.diaz@uv.es"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Valencia, Valencia, Spain","institution_ids":["https://openalex.org/I16097986"]},{"raw_affiliation_string":"Department of Computer Science, University of Valencia, Avda. Vicent Andres Estell\u00e9s, 46100 Burjassot, Valencia, Spain. phone: +34 96 3543977; email: elena.diaz@uv.es","institution_ids":["https://openalex.org/I16097986"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031840294","display_name":"Roberto Zoncu","orcid":"https://orcid.org/0000-0003-1611-1891"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Roberto Zoncu","raw_affiliation_strings":["Department of Cell Biology, Yale University, New Heaven, CT, USA","Department of Cell Biology, Yale University. P.O. BOX 208002, New Haven, Connecticut, 06520-8002 USA. email: roberto.zoncu@yale.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Cell Biology, Yale University, New Heaven, CT, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Department of Cell Biology, Yale University. P.O. BOX 208002, New Haven, Connecticut, 06520-8002 USA. email: roberto.zoncu@yale.edu","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059006111","display_name":"Derek Toomre","orcid":"https://orcid.org/0000-0002-6827-8127"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Derek Toomre","raw_affiliation_strings":["Department of Cell Biology, Yale University, New Heaven, CT, USA","Department of Cell Biology, Yale University. P.O. BOX 208002, New Haven, Connecticut, 06520-8002 USA. email: derek.toomre@yale.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Cell Biology, Yale University, New Heaven, CT, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"Department of Cell Biology, Yale University. P.O. BOX 208002, New Haven, Connecticut, 06520-8002 USA. email: derek.toomre@yale.edu","institution_ids":["https://openalex.org/I32971472"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6607,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.73333333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"394","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.8276000022888184,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12417","display_name":"Morphological variations and asymmetry","score":0.8276000022888184,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.7268999814987183,"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/T12368","display_name":"Grey System Theory Applications","score":0.710099995136261,"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/endocytic-cycle","display_name":"Endocytic cycle","score":0.7098495364189148},{"id":"https://openalex.org/keywords/pixel","display_name":"Pixel","score":0.5999269485473633},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5871436595916748},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5559836030006409},{"id":"https://openalex.org/keywords/thresholding","display_name":"Thresholding","score":0.5443727970123291},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4747346341609955},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.47112414240837097},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4369831085205078},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.40288758277893066},{"id":"https://openalex.org/keywords/endocytosis","display_name":"Endocytosis","score":0.3883781135082245},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.339687705039978},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.27140140533447266},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24832671880722046},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.15915268659591675},{"id":"https://openalex.org/keywords/cell","display_name":"Cell","score":0.11275362968444824}],"concepts":[{"id":"https://openalex.org/C79747257","wikidata":"https://www.wikidata.org/wiki/Q189814","display_name":"Endocytic cycle","level":4,"score":0.7098495364189148},{"id":"https://openalex.org/C160633673","wikidata":"https://www.wikidata.org/wiki/Q355198","display_name":"Pixel","level":2,"score":0.5999269485473633},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5871436595916748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5559836030006409},{"id":"https://openalex.org/C191178318","wikidata":"https://www.wikidata.org/wiki/Q2256906","display_name":"Thresholding","level":3,"score":0.5443727970123291},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4747346341609955},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.47112414240837097},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4369831085205078},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.40288758277893066},{"id":"https://openalex.org/C28005876","wikidata":"https://www.wikidata.org/wiki/Q189814","display_name":"Endocytosis","level":3,"score":0.3883781135082245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.339687705039978},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.27140140533447266},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24832671880722046},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.15915268659591675},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"score":0.11275362968444824},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzzy.2007.4295484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2007.4295484","pdf_url":null,"source":{"id":"https://openalex.org/S4210187232","display_name":"Proceedings of ... IEEE International Conference on Fuzzy Systems","issn_l":"1098-7584","issn":["1098-7584"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Fuzzy Systems Conference","raw_type":"proceedings-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/W1550712876","https://openalex.org/W1679367724","https://openalex.org/W1964940964","https://openalex.org/W1968113078","https://openalex.org/W1979272667","https://openalex.org/W1984879151","https://openalex.org/W1987864525","https://openalex.org/W2024316397","https://openalex.org/W2033994334","https://openalex.org/W2036853230","https://openalex.org/W2060807322","https://openalex.org/W2064054143","https://openalex.org/W2077527631","https://openalex.org/W2101659226","https://openalex.org/W2115994196","https://openalex.org/W2118645026","https://openalex.org/W2132483446","https://openalex.org/W2144618665","https://openalex.org/W2145333947","https://openalex.org/W2329726280","https://openalex.org/W2572140128","https://openalex.org/W4230982142","https://openalex.org/W4293747882"],"related_works":["https://openalex.org/W2046128749","https://openalex.org/W2016622933","https://openalex.org/W4281554008","https://openalex.org/W3151913394","https://openalex.org/W3131224890","https://openalex.org/W3190527358","https://openalex.org/W1587469249","https://openalex.org/W3146497051","https://openalex.org/W4206212907","https://openalex.org/W3139612172"],"abstract_inverted_index":{"Total":[0],"Internal":[1],"Reflection":[2],"Fluorescence":[3],"Microscopy":[4],"(TIRFM)":[5],"greatly":[6],"facilitates":[7],"to":[8,25,49,60,90,153,166],"imaging":[9],"the":[10,22,56,94,100,103,137,141,145,170],"first":[11],"steps":[12],"of":[13,40,54,102,132,140],"endocytosis,":[14],"a":[15,66,73,86,110,122,150],"process":[16],"whereby":[17],"cells":[18],"traffic":[19],"cargo":[20],"from":[21],"cell":[23],"surface":[24],"endosomes.":[26],"Using":[27],"TIRFM,":[28],"fluorescent-tagged":[29,75],"endocytic":[30,173],"proteins":[31,174],"are":[32,119],"observed":[33],"as":[34,121],"overlapped":[35],"areas":[36],"forming":[37],"random":[38,125],"clumps":[39],"different":[41],"sizes,":[42],"shapes":[43],"and":[44,144,168],"durations.":[45],"A":[46],"common":[47],"procedure":[48,152,162],"segment":[50],"these":[51],"objects":[52],"consists":[53],"thresholding":[55],"original":[57],"gray-level":[58],"images":[59,118],"produce":[61],"binary":[62,78,117],"sequences":[63],"in":[64,114],"which":[65,96,115],"pixel":[67],"is":[68,80],"covered":[69],"or":[70],"not":[71,81],"by":[72,93],"given":[74],"protein.":[76],"This":[77],"logic":[79],"appropriate":[82],"because":[83],"it":[84],"leaves":[85],"free":[87],"tuning":[88],"parameter":[89],"be":[91],"set":[92],"user":[95],"can":[97],"influence":[98],"on":[99,136],"conclusions":[101],"statistical":[104],"analysis.":[105],"Instead,":[106],"we":[107,128],"have":[108],"adopted":[109],"more":[111],"realistic":[112],"approach,":[113],"segmented":[116],"modelled":[120],"fuzzy":[123,138],"temporal":[124],"set.":[126],"Here,":[127],"propose":[129],"some":[130],"measures":[131],"spatio-temporal":[133],"interactions":[134,171],"based":[135],"counterparts":[139],"pair-correlation":[142],"function":[143],"Ripley":[146],"K-function.":[147],"We":[148],"used":[149],"randomization":[151],"test":[154],"for":[155],"independence.":[156],"Our":[157],"results":[158],"show":[159],"that":[160],"this":[161],"will":[163],"permit":[164],"biologists":[165],"examine":[167],"quantify":[169],"between":[172],"robustly.":[175]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}