{"id":"https://openalex.org/W2170714435","doi":"https://doi.org/10.1109/grc.2005.1547364","title":"Information quanta and approximation spaces II: generalised approximation spaces","display_name":"Information quanta and approximation spaces II: generalised approximation spaces","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2170714435","doi":"https://doi.org/10.1109/grc.2005.1547364","mag":"2170714435"},"language":"en","primary_location":{"id":"doi:10.1109/grc.2005.1547364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2005.1547364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 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/A5041395713","display_name":"Piero Pagliani","orcid":"https://orcid.org/0000-0002-7036-012X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P. Pagliani","raw_affiliation_strings":["Research Group on Knowledge and Communication, Roma, Italy"],"affiliations":[{"raw_affiliation_string":"Research Group on Knowledge and Communication, Roma, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041395713"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4595,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89105781,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":null,"first_page":"611","last_page":"616 Vol. 2"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.998199999332428,"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":0.998199999332428,"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":0.9782000184059143,"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/T10824","display_name":"Image Retrieval and Classification Techniques","score":0.9451000094413757,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/class","display_name":"Class (philosophy)","score":0.6011443138122559},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5846163034439087},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4891960620880127},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4452572166919708},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36066603660583496},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3582072854042053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3232826590538025},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15713685750961304},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15147686004638672},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08089479804039001}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6011443138122559},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5846163034439087},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4891960620880127},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4452572166919708},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36066603660583496},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3582072854042053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3232826590538025},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15713685750961304},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15147686004638672},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08089479804039001}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/grc.2005.1547364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/grc.2005.1547364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2005 IEEE International Conference on Granular Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.5,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W109748967","https://openalex.org/W316138753","https://openalex.org/W344132161","https://openalex.org/W1413225879","https://openalex.org/W1582269801","https://openalex.org/W1632836577","https://openalex.org/W2015649688","https://openalex.org/W6611710982","https://openalex.org/W6654484014"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2368454205","https://openalex.org/W2370467235","https://openalex.org/W2989824750","https://openalex.org/W2347925354","https://openalex.org/W4238050384","https://openalex.org/W2359737466","https://openalex.org/W2800924481","https://openalex.org/W2110671666","https://openalex.org/W2366306114"],"abstract_inverted_index":{"In":[0,33],"the":[1,19,22,34,39],"first":[2],"part":[3,36],"we":[4,37],"have":[5],"introduced":[6],"non-classical":[7],"upper":[8],"and":[9,30,60],"lower":[10],"approximations":[11],"of":[12,14,21,43,68],"subsets":[13],"objects":[15],"or":[16],"properties,":[17],"on":[18],"basis":[20],"properties":[23],"featured":[24],"by":[25],"Galois":[26],"adjunctions":[27],"between":[28],"intensional":[29],"extensionnal":[31],"operators.":[32],"present":[35],"introduce":[38],"higher":[40],"order":[41],"notions":[42],"an":[44,47],"\"information":[45,48],"quantum\"":[46],"quantum":[49],"relational":[50],"system\"":[51],"which":[52],"make":[53,61],"adjoint":[54],"operators":[55,59],"into":[56],"continuous":[57],"approximation":[58,70],"it":[62],"possible":[63],"to":[64],"define":[65],"a":[66],"class":[67],"topological":[69],"spaces.":[71]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
