{"id":"https://openalex.org/W1975586409","doi":"https://doi.org/10.1109/grc.2012.6468604","title":"First-order axiomatization of rough mereology","display_name":"First-order axiomatization of rough mereology","publication_year":2012,"publication_date":"2012-08-01","ids":{"openalex":"https://openalex.org/W1975586409","doi":"https://doi.org/10.1109/grc.2012.6468604","mag":"1975586409"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2012.6468604","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","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/A5082247761","display_name":"Hsing-chien Tsai","orcid":"https://orcid.org/0000-0002-2113-8012"},"institutions":[{"id":"https://openalex.org/I148099254","display_name":"National Chung Cheng University","ror":"https://ror.org/0028v3876","country_code":"TW","type":"education","lineage":["https://openalex.org/I148099254"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Hsing-chien Tsai","raw_affiliation_strings":["Department of Philosophy, National Chung Cheng University, Chiayi, Taiwan","Department of Philosophy National Chung Cheng University Chiayi Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, National Chung Cheng University, Chiayi, Taiwan","institution_ids":["https://openalex.org/I148099254"]},{"raw_affiliation_string":"Department of Philosophy National Chung Cheng University Chiayi Taiwan","institution_ids":["https://openalex.org/I148099254"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082247761"],"corresponding_institution_ids":["https://openalex.org/I148099254"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0642341,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"471","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9984999895095825,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9764999747276306,"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/mereology","display_name":"Mereology","score":0.9894880056381226},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7900303602218628},{"id":"https://openalex.org/keywords/rough-set","display_name":"Rough set","score":0.6658505797386169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.566076397895813},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.560380220413208},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4817083477973938},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.46667659282684326},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4354093670845032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37094324827194214},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18737664818763733},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.0809553861618042},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07998105883598328}],"concepts":[{"id":"https://openalex.org/C152385842","wikidata":"https://www.wikidata.org/wiki/Q1194916","display_name":"Mereology","level":2,"score":0.9894880056381226},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7900303602218628},{"id":"https://openalex.org/C111012933","wikidata":"https://www.wikidata.org/wiki/Q3137210","display_name":"Rough set","level":2,"score":0.6658505797386169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.566076397895813},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.560380220413208},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4817083477973938},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.46667659282684326},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4354093670845032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37094324827194214},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18737664818763733},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0809553861618042},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07998105883598328},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2012.6468604","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2012.6468604","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W606831423","https://openalex.org/W1579758044","https://openalex.org/W2004270668","https://openalex.org/W2016487173","https://openalex.org/W2037446229","https://openalex.org/W2070115753","https://openalex.org/W2080293785","https://openalex.org/W2105505307","https://openalex.org/W4251213991"],"related_works":["https://openalex.org/W4235289313","https://openalex.org/W4394855737","https://openalex.org/W1492437063","https://openalex.org/W2248977551","https://openalex.org/W2018860261","https://openalex.org/W2509213526","https://openalex.org/W2494793519","https://openalex.org/W2348074419","https://openalex.org/W2608637357","https://openalex.org/W2143451122"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"I":[3,73],"will":[4,74],"look":[5],"into":[6],"a":[7,31,49,63,83],"possible":[8],"first-order":[9],"axiomatization":[10,25],"of":[11,58],"rough":[12,84,93],"mereology":[13],"and":[14],"then":[15],"show":[16],"that":[17,40,55],"if":[18],"the":[19,45,59,70,80],"domain":[20],"is":[21,26,34],"finite,":[22],"such":[23,48],"an":[24],"in":[27,44],"fact":[28],"equivalent":[29],"to":[30,91],"theory":[32,60],"which":[33,87],"axiomatizable":[35],"by":[36],"some":[37,77],"mereological":[38],"axioms":[39],"can":[41,52,88],"be":[42,53,89],"found":[43],"literature.":[46],"From":[47],"result":[50],"it":[51],"seen":[54],"any":[56],"model":[57],"considered":[61],"forms":[62],"finite":[64],"Boolean":[65],"algebra.":[66],"Besides,":[67],"based":[68],"on":[69,82],"same":[71],"result,":[72],"also":[75],"make":[76],"observations":[78],"about":[79],"conditions":[81],"inclusion":[85],"function":[86],"used":[90],"define":[92],"mereology.":[94]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
