{"id":"https://openalex.org/W4388517658","doi":"https://doi.org/10.1109/fuzz52849.2023.10309744","title":"Averaging the Truth Value of Formulas in G\u00f6del Logic","display_name":"Averaging the Truth Value of Formulas in G\u00f6del Logic","publication_year":2023,"publication_date":"2023-08-13","ids":{"openalex":"https://openalex.org/W4388517658","doi":"https://doi.org/10.1109/fuzz52849.2023.10309744"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz52849.2023.10309744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz52849.2023.10309744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 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/A5101825075","display_name":"Stefano Aguzzoli","orcid":"https://orcid.org/0000-0002-7588-5048"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Stefano Aguzzoli","raw_affiliation_strings":["Universit&#x00E0; degli Studi di Milano,Dipartimento di Informatica,Milano,Italy"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E0; degli Studi di Milano,Dipartimento di Informatica,Milano,Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008489057","display_name":"Brunella Gerla","orcid":"https://orcid.org/0000-0002-9563-2136"},"institutions":[{"id":"https://openalex.org/I115752224","display_name":"University of Insubria","ror":"https://ror.org/00s409261","country_code":"IT","type":"education","lineage":["https://openalex.org/I115752224"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Brunella Gerla","raw_affiliation_strings":["Universit&#x00E0; degli Studi dell&#x0027;Insubria,Dipartimento di Scienze Teoriche e Applicate,Varese,Italy"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E0; degli Studi dell&#x0027;Insubria,Dipartimento di Scienze Teoriche e Applicate,Varese,Italy","institution_ids":["https://openalex.org/I115752224"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101825075"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":null,"apc_paid":null,"fwci":0.2014,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.572602,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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":0.9941999912261963,"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":0.9941999912261963,"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/automorphism","display_name":"Automorphism","score":0.6760234236717224},{"id":"https://openalex.org/keywords/truth-value","display_name":"Truth value","score":0.4848112165927887},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.47626993060112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46108147501945496},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.42365407943725586},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4176928997039795},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41430631279945374},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40444958209991455},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.273792028427124},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2726448178291321},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14977073669433594},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08693301677703857}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.6760234236717224},{"id":"https://openalex.org/C46274116","wikidata":"https://www.wikidata.org/wiki/Q185521","display_name":"Truth value","level":2,"score":0.4848112165927887},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.47626993060112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46108147501945496},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.42365407943725586},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4176928997039795},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41430631279945374},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40444958209991455},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.273792028427124},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2726448178291321},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14977073669433594},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08693301677703857},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzz52849.2023.10309744","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz52849.2023.10309744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Conference on Fuzzy Systems (FUZZ)","raw_type":"proceedings-article"},{"id":"pmh:oai:irinsubria.uninsubria.it:11383/2166272","is_oa":false,"landing_page_url":"https://hdl.handle.net/11383/2166272","pdf_url":null,"source":{"id":"https://openalex.org/S4377196351","display_name":"IrInSubria (University of Insubria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I115752224","host_organization_name":"University of Insubria","host_organization_lineage":["https://openalex.org/I115752224"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1533521742","https://openalex.org/W1591816609","https://openalex.org/W2022150134","https://openalex.org/W2033359087","https://openalex.org/W2038051410","https://openalex.org/W2043870082","https://openalex.org/W2047723833","https://openalex.org/W2067787770","https://openalex.org/W2082093772","https://openalex.org/W2087521415","https://openalex.org/W2110182592","https://openalex.org/W2128520635","https://openalex.org/W2153765600","https://openalex.org/W2771045385","https://openalex.org/W2899358613","https://openalex.org/W3033415335","https://openalex.org/W3082020351","https://openalex.org/W4295700950"],"related_works":["https://openalex.org/W2114124567","https://openalex.org/W2998724919","https://openalex.org/W161787318","https://openalex.org/W1997883919","https://openalex.org/W1968682565","https://openalex.org/W2963982375","https://openalex.org/W2042372008","https://openalex.org/W2376326551","https://openalex.org/W3122198505","https://openalex.org/W4221160447"],"abstract_inverted_index":{"Let":[0],"<tex":[1,25,62,68],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[2,26,63,69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L$</tex>":[3,27,70],"be":[4],"a":[5,34,59],"propositional":[6],"mathematical":[7],"fuzzy":[8],"logic":[9],"with":[10,61,77,95],"the":[11,47,82,90,100],"real":[12],"unit":[13],"interval":[14],"[0,":[15],"1]":[16],"as":[17],"its":[18],"set":[19],"of":[20,37,58,81,99],"truth":[21],"values.":[22],"Assume":[23],"that":[24,92],"has":[28],"an":[29,52],"algebraic":[30],"semantics":[31],"given":[32],"by":[33],"variety":[35],"V":[36],"algebras.":[38],"A":[39],"finitely":[40],"additive":[41],"probability":[42],"measure":[43,74],"(or,":[44],"state)":[45],"over":[46,55],"free":[48,83,101],"n-generated":[49,102],"V-algebra":[50],"provides":[51],"average":[53],"value":[54],"all":[56],"assignments":[57],"formula":[60],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$n$</tex>":[64],"many":[65],"variables":[66],"in":[67],"only":[71],"if":[72],"this":[73,86],"is":[75],"invariant":[76,94],"respect":[78,96],"to":[79,97],"automorphisms":[80,98],"algebra.":[84,104],"In":[85],"paper":[87],"we":[88],"characterise":[89],"states":[91],"are":[93],"G\u00f6del":[103]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}