{"id":"https://openalex.org/W4414117785","doi":"https://doi.org/10.1109/fuzz62266.2025.11152272","title":"Algebraic Rule Base Structure: A Cross-Model Analysis Tool by Involving Directional Parameter","display_name":"Algebraic Rule Base Structure: A Cross-Model Analysis Tool by Involving Directional Parameter","publication_year":2025,"publication_date":"2025-07-06","ids":{"openalex":"https://openalex.org/W4414117785","doi":"https://doi.org/10.1109/fuzz62266.2025.11152272"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz62266.2025.11152272","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11152272","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","raw_type":"proceedings-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/A5042739944","display_name":"Changhong Jiang","orcid":"https://orcid.org/0000-0002-2647-3987"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Changhong Jiang","raw_affiliation_strings":["Northwestern Polytechnical University,School of Computer Science and Engineering,Xi&#x2019;an,China"],"affiliations":[{"raw_affiliation_string":"Northwestern Polytechnical University,School of Computer Science and Engineering,Xi&#x2019;an,China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039652471","display_name":"Changjing Shang","orcid":"https://orcid.org/0000-0001-6375-6276"},"institutions":[{"id":"https://openalex.org/I16038530","display_name":"Aberystwyth University","ror":"https://ror.org/015m2p889","country_code":"GB","type":"education","lineage":["https://openalex.org/I16038530"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Changjing Shang","raw_affiliation_strings":["Aberystwyth University,Department of Computer Science,Aberystwyth,UK"],"affiliations":[{"raw_affiliation_string":"Aberystwyth University,Department of Computer Science,Aberystwyth,UK","institution_ids":["https://openalex.org/I16038530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036010787","display_name":"Qiang Shen","orcid":"https://orcid.org/0000-0001-9333-4605"},"institutions":[{"id":"https://openalex.org/I16038530","display_name":"Aberystwyth University","ror":"https://ror.org/015m2p889","country_code":"GB","type":"education","lineage":["https://openalex.org/I16038530"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Qiang Shen","raw_affiliation_strings":["Aberystwyth University,Department of Computer Science,Aberystwyth,UK"],"affiliations":[{"raw_affiliation_string":"Aberystwyth University,Department of Computer Science,Aberystwyth,UK","institution_ids":["https://openalex.org/I16038530"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042739944"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13207378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.20550000667572021,"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":0.20550000667572021,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.17489999532699585,"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/T10320","display_name":"Neural Networks and Applications","score":0.17319999635219574,"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/interpretability","display_name":"Interpretability","score":0.6891999840736389},{"id":"https://openalex.org/keywords/fuzzy-rule","display_name":"Fuzzy rule","score":0.5557000041007996},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.4771000146865845},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4253000020980835},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.4189999997615814},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.41510000824928284},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.3953999876976013}],"concepts":[{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.6891999840736389},{"id":"https://openalex.org/C2780049643","wikidata":"https://www.wikidata.org/wiki/Q5511139","display_name":"Fuzzy rule","level":4,"score":0.5557000041007996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4932999908924103},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.4771000146865845},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.448199987411499},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44209998846054077},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4253000020980835},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.4189999997615814},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.41510000824928284},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3953999876976013},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C149271511","wikidata":"https://www.wikidata.org/wiki/Q1417149","display_name":"Rule-based system","level":2,"score":0.37279999256134033},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35690000653266907},{"id":"https://openalex.org/C4554734","wikidata":"https://www.wikidata.org/wiki/Q593744","display_name":"Knowledge base","level":2,"score":0.3549000024795532},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3319000005722046},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3181999921798706},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3043000102043152},{"id":"https://openalex.org/C58328972","wikidata":"https://www.wikidata.org/wiki/Q184609","display_name":"Expert system","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.25440001487731934},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz62266.2025.11152272","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11152272","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","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":25,"referenced_works":["https://openalex.org/W37058475","https://openalex.org/W1481615578","https://openalex.org/W1974182274","https://openalex.org/W2013198395","https://openalex.org/W2027014358","https://openalex.org/W2079325629","https://openalex.org/W2156715830","https://openalex.org/W2291196818","https://openalex.org/W2778140068","https://openalex.org/W2951705486","https://openalex.org/W2962384338","https://openalex.org/W2982253338","https://openalex.org/W3128263425","https://openalex.org/W3163304493","https://openalex.org/W3171768015","https://openalex.org/W3200667596","https://openalex.org/W4205631041","https://openalex.org/W4211007335","https://openalex.org/W4249749961","https://openalex.org/W4284886993","https://openalex.org/W4386541069","https://openalex.org/W4392309202","https://openalex.org/W4392726761","https://openalex.org/W4401337641","https://openalex.org/W4403826474"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"Fuzzy":[0],"Rule":[1],"Interpolation":[2],"(FRI)":[3],"has":[4],"become":[5],"an":[6,26,46,64],"important":[7],"tool":[8,57],"for":[9,112],"enhancing":[10],"reasoning":[11],"accuracy":[12,111],"in":[13,25,67],"systems":[14],"with":[15],"sparse":[16],"rule":[17,43,66,69],"bases.":[18],"However,":[19],"many":[20],"existing":[21],"approaches":[22],"are":[23],"developed":[24],"ad":[27],"hoc":[28],"manner.":[29],"This":[30],"paper":[31],"introduces":[32],"a":[33,56,68],"formal":[34],"framework,":[35],"termed":[36],"location":[37,103],"view,":[38],"which":[39],"transforms":[40],"traditional":[41],"scalar-based":[42],"representations":[44],"into":[45],"isomorphic":[47],"geometric":[48],"space.":[49],"Through":[50],"mathematical":[51],"formalisation,":[52],"the":[53,61,81,99,119,129,133,136,141],"framework":[54,83],"provides":[55],"that":[58],"focusses":[59],"on":[60,94],"impact":[62],"of":[63,86,128,135],"individual":[65],"interpolation":[70],"process.":[71],"In":[72],"addition,":[73],"by":[74,90,117],"integrating":[75],"both":[76,106],"distance":[77],"and":[78,109,124],"directional":[79],"parameters,":[80],"proposed":[82],"addresses":[84],"limitations":[85],"conventional":[87],"methods":[88],"caused":[89],"their":[91],"relying":[92],"solely":[93],"scalar":[95],"metrics,":[96],"such":[97],"as":[98],"Euclidean":[100],"distance.":[101],"The":[102,126],"view":[104],"offers":[105],"enhanced":[107],"interpretability":[108],"improved":[110,137],"performing":[113],"fuzzy":[114],"interpolative":[115],"reasoning,":[116],"capturing":[118],"nuanced":[120],"relationships":[121],"between":[122],"rules":[123],"observations.":[125],"results":[127],"experimental":[130],"investigations":[131],"demonstrate":[132],"success":[134],"FRI":[138],"mechanism":[139],"leveraging":[140],"direction":[142],"parameters.":[143]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}
