{"id":"https://openalex.org/W2026120364","doi":"https://doi.org/10.1016/0167-8191(93)90032-g","title":"Fuzzy arithmetic on systolic arrays","display_name":"Fuzzy arithmetic on systolic arrays","publication_year":1993,"publication_date":"1993-11-01","ids":{"openalex":"https://openalex.org/W2026120364","doi":"https://doi.org/10.1016/0167-8191(93)90032-g","mag":"2026120364"},"language":"en","primary_location":{"id":"doi:10.1016/0167-8191(93)90032-g","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0167-8191(93)90032-g","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/0167-8191(93)90032-g","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041509287","display_name":"Hassen Dhrif","orcid":"https://orcid.org/0000-0002-3842-1762"},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hassen Dhrif","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA","institution_ids":["https://openalex.org/I145608581"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101425689","display_name":"Dilip Sarkar","orcid":"https://orcid.org/0000-0001-9102-4291"},"institutions":[{"id":"https://openalex.org/I145608581","display_name":"University of Miami","ror":"https://ror.org/02dgjyy92","country_code":"US","type":"education","lineage":["https://openalex.org/I145608581"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dilip Sarkar","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Miami, Coral Gables, FL 33124, USA","institution_ids":["https://openalex.org/I145608581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101425689"],"corresponding_institution_ids":["https://openalex.org/I145608581"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":{"value":2680,"currency":"USD","value_usd":2680},"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.15550524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"11","first_page":"1283","last_page":"1301"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9977999925613403,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9977999925613403,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/speedup","display_name":"Speedup","score":0.6935319304466248},{"id":"https://openalex.org/keywords/systolic-array","display_name":"Systolic array","score":0.6495757699012756},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5824940204620361},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.558068037033081},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5383260250091553},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5364654064178467},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4991469383239746},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.471443772315979},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4464454650878906},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44264310598373413},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.4414333701133728},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4135860800743103},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.24050745368003845},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1377754807472229},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1102425754070282},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.10952809453010559}],"concepts":[{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6935319304466248},{"id":"https://openalex.org/C150741067","wikidata":"https://www.wikidata.org/wiki/Q2377218","display_name":"Systolic array","level":3,"score":0.6495757699012756},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5824940204620361},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.558068037033081},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5383260250091553},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5364654064178467},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4991469383239746},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.471443772315979},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4464454650878906},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44264310598373413},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.4414333701133728},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4135860800743103},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.24050745368003845},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1377754807472229},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1102425754070282},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.10952809453010559},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0167-8191(93)90032-g","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0167-8191(93)90032-g","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0167-8191(93)90032-g","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0167-8191(93)90032-g","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1975558464","https://openalex.org/W1994997349","https://openalex.org/W2014601547","https://openalex.org/W2054388411","https://openalex.org/W2063717439","https://openalex.org/W2154394613","https://openalex.org/W3183746008","https://openalex.org/W4233704167","https://openalex.org/W6608531038"],"related_works":["https://openalex.org/W2058965144","https://openalex.org/W2164382479","https://openalex.org/W98480971","https://openalex.org/W2150291671","https://openalex.org/W2027972911","https://openalex.org/W2607998022","https://openalex.org/W2059382600","https://openalex.org/W2005006850","https://openalex.org/W1983935318","https://openalex.org/W1548396691"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"parallel":[3,41],"algorithms":[4],"for":[5],"fuzzy":[6,19,25,100,103],"arithmetic":[7,17],"operations":[8],"on":[9,18,47,69],"systolic":[10],"arrays.":[11],"A":[12],"large":[13],"part":[14],"of":[15,73,102],"the":[16],"numbers":[20,101,104],"is":[21],"referred":[22],"to":[23,96],"as":[24],"convolutions,":[26],"which":[27],"take":[28],"O(n2)":[29,82],"time":[30,62,79],"steps":[31],"when":[32],"implemented":[33],"sequentially.":[34],"In":[35],"this":[36],"paper,":[37],"we":[38],"present":[39],"two":[40],"algorithms.":[42],"The":[43,65,84],"first":[44],"algorithm":[45,67],"runs":[46,68],"a":[48,70],"linear":[49,99],"array":[50],"machine":[51],"in":[52,76],"O(n)":[53,56],"time,":[54],"using":[55,81],"processors,":[57],"and":[58,63],"thus,":[59],"achieving":[60],"optimal":[61,88],"cost.":[64],"second":[66],"mesh-of-trees":[71],"type":[72],"computer":[74],"architecture":[75],"L(log":[77],"n)":[78],"steps,":[80],"processors.":[83],"latter,":[85],"although":[86],"not":[87],"achieved":[89],"high":[90],"speedup.":[91],"Both":[92],"can":[93],"be":[94],"adapted":[95],"handle":[97],"larger":[98],"with":[105],"higher":[106],"dimension.":[107]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
