{"id":"https://openalex.org/W2045124066","doi":"https://doi.org/10.1142/s0218488599000520","title":"PSEUDO-CONVOLUTION BASED ON IDEMPOTENT OPERATION AS LIMIT OF g-CONVOLUTION","display_name":"PSEUDO-CONVOLUTION BASED ON IDEMPOTENT OPERATION AS LIMIT OF g-CONVOLUTION","publication_year":1999,"publication_date":"1999-12-01","ids":{"openalex":"https://openalex.org/W2045124066","doi":"https://doi.org/10.1142/s0218488599000520","mag":"2045124066"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488599000520","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488599000520","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/A5074019243","display_name":"Endre Pap","orcid":"https://orcid.org/0000-0003-0719-4701"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ","RS"],"is_corresponding":true,"raw_author_name":"ENDRE PAP","raw_affiliation_strings":["Institute of Mathematics, University of Novi Sad., Trg D. Obradovi\u0107a 4, 21000 Novi Sad, Yugoslavia","Institute of Mathematics, University of Novi Sad, Trg. D. Obradovica 4, 21000 Novi Sad, Yugoslavia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Novi Sad., Trg D. Obradovi\u0107a 4, 21000 Novi Sad, Yugoslavia","institution_ids":["https://openalex.org/I170726198","https://openalex.org/I4210120266"]},{"raw_affiliation_string":"Institute of Mathematics, University of Novi Sad, Trg. D. Obradovica 4, 21000 Novi Sad, Yugoslavia","institution_ids":["https://openalex.org/I170726198","https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042815549","display_name":"Ivana \u0160tajner-Papuga","orcid":"https://orcid.org/0000-0002-7943-6127"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]}],"countries":["CZ","RS"],"is_corresponding":false,"raw_author_name":"IVANA \u0160TAJNER","raw_affiliation_strings":["Institute of Mathematics, University of Novi Sad., Trg D. Obradovi\u0107a 4, 21000 Novi Sad, Yugoslavia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of Novi Sad., Trg D. Obradovi\u0107a 4, 21000 Novi Sad, Yugoslavia","institution_ids":["https://openalex.org/I170726198","https://openalex.org/I4210120266"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074019243"],"corresponding_institution_ids":["https://openalex.org/I170726198","https://openalex.org/I4210120266"],"apc_list":null,"apc_paid":null,"fwci":0.4708,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64738292,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"07","issue":"06","first_page":"615","last_page":"629"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9729999899864197,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9729999899864197,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.972599983215332,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9624000191688538,"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/convolution","display_name":"Convolution (computer science)","score":0.866657018661499},{"id":"https://openalex.org/keywords/convolution-power","display_name":"Convolution power","score":0.6990891695022583},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.6898282170295715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6797131299972534},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6539077758789062},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.5782704949378967},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5235245227813721},{"id":"https://openalex.org/keywords/convolution-theorem","display_name":"Convolution theorem","score":0.4562578797340393},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45461001992225647},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30326753854751587},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18922540545463562},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.14053422212600708},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06140059232711792},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.039948225021362305}],"concepts":[{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.866657018661499},{"id":"https://openalex.org/C86254553","wikidata":"https://www.wikidata.org/wiki/Q5166605","display_name":"Convolution power","level":5,"score":0.6990891695022583},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6898282170295715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6797131299972534},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6539077758789062},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.5782704949378967},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5235245227813721},{"id":"https://openalex.org/C79587385","wikidata":"https://www.wikidata.org/wiki/Q2638931","display_name":"Convolution theorem","level":5,"score":0.4562578797340393},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45461001992225647},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30326753854751587},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18922540545463562},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.14053422212600708},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06140059232711792},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.039948225021362305},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488599000520","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488599000520","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1481142035","https://openalex.org/W1506515663","https://openalex.org/W1982140226","https://openalex.org/W2087229211","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2293685972","https://openalex.org/W4363675452","https://openalex.org/W2899125270","https://openalex.org/W2165363605","https://openalex.org/W2267589039","https://openalex.org/W2033203427","https://openalex.org/W1510205169","https://openalex.org/W1573523807","https://openalex.org/W1975739358","https://openalex.org/W2067193074"],"abstract_inverted_index":{"Operation":[0],"with":[1,45],"functions":[2],"known":[3],"as":[4,9,11,39,56],"pseudo-convolution":[5,24],"and":[6],"its":[7],"generalization":[8],"well":[10],"theirs":[12],"basic":[13],"properties":[14],"has":[15,20],"been":[16,21],"presented.":[17],"Then,":[18],"it":[19],"proved":[22],"that":[23],"which":[25],"core":[26],"is":[27,53],"pseudo-integral":[28],"based":[29,47],"on":[30,48],"max":[31],"or":[32],"min":[33],"decomposable":[34],"measure":[35],"can":[36],"be":[37],"obtained":[38],"limit":[40],"of":[41],"g-convolutions,":[42],"i.e.,":[43],"pseudo-convolutions":[44],"pseudo-integrals":[46],"\u2295-decomposable":[49],"measures":[50],"where":[51],"\u2295":[52],"generated":[54],"pseudo-addition,":[55],"their":[57],"cores.":[58]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
