{"id":"https://openalex.org/W2017854760","doi":"https://doi.org/10.1007/s005000100148","title":"A granular counterpart to the gradient operator","display_name":"A granular counterpart to the gradient operator","publication_year":2002,"publication_date":"2002-04-01","ids":{"openalex":"https://openalex.org/W2017854760","doi":"https://doi.org/10.1007/s005000100148","mag":"2017854760"},"language":"en","primary_location":{"id":"doi:10.1007/s005000100148","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000100148","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5054496821","display_name":"Scott Dick","orcid":"https://orcid.org/0000-0002-4225-2770"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Dick","raw_affiliation_strings":["Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620","Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620 E-mail: dick@csee.usf.edu, kandel@csee.usf.edu, , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620","institution_ids":["https://openalex.org/I2613432"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620 E-mail: dick@csee.usf.edu, kandel@csee.usf.edu, , US","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109217279","display_name":"W. Rodriguez","orcid":null},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Rodriguez","raw_affiliation_strings":["Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620","Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620 E-mail: dick@csee.usf.edu, kandel@csee.usf.edu, , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620","institution_ids":["https://openalex.org/I2613432"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620 E-mail: dick@csee.usf.edu, kandel@csee.usf.edu, , US","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108196712","display_name":"Abraham Kandel","orcid":"https://orcid.org/0009-0002-9276-6566"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Kandel","raw_affiliation_strings":["Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620","Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620 E-mail: dick@csee.usf.edu, kandel@csee.usf.edu, , US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620","institution_ids":["https://openalex.org/I2613432"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, University of South Florida, 4202E. Fowler Avenue, ENB 118, Tampa, FL, USA, 33620 E-mail: dick@csee.usf.edu, kandel@csee.usf.edu, , US","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2613432"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":1.1053,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84468164,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":"2","first_page":"124","last_page":"140"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.996399998664856,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.996399998664856,"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"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9776999950408936,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9329000115394592,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.7370812892913818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6713693141937256},{"id":"https://openalex.org/keywords/antecedent","display_name":"Antecedent (behavioral psychology)","score":0.5522197484970093},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5513215661048889},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.47697505354881287},{"id":"https://openalex.org/keywords/cartesian-product","display_name":"Cartesian product","score":0.47163745760917664},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.41055500507354736},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35536015033721924},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3479234576225281},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3262672424316406},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.288585364818573},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.264184832572937},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2531833052635193},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.07613983750343323}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7370812892913818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6713693141937256},{"id":"https://openalex.org/C2781256819","wikidata":"https://www.wikidata.org/wiki/Q16828835","display_name":"Antecedent (behavioral psychology)","level":2,"score":0.5522197484970093},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5513215661048889},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.47697505354881287},{"id":"https://openalex.org/C65236422","wikidata":"https://www.wikidata.org/wiki/Q173740","display_name":"Cartesian product","level":2,"score":0.47163745760917664},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.41055500507354736},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35536015033721924},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3479234576225281},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3262672424316406},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.288585364818573},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.264184832572937},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2531833052635193},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.07613983750343323},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C138496976","wikidata":"https://www.wikidata.org/wiki/Q175002","display_name":"Developmental psychology","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s005000100148","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s005000100148","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/13","display_name":"Climate action","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2478582891","https://openalex.org/W2107728149","https://openalex.org/W2360806008","https://openalex.org/W2157900495","https://openalex.org/W2018105956","https://openalex.org/W2203872009","https://openalex.org/W3157556506","https://openalex.org/W2501695166","https://openalex.org/W2110194378","https://openalex.org/W2232781361"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}