{"id":"https://openalex.org/W4399503692","doi":"https://doi.org/10.1142/s1793005725500504","title":"Quantum Logics of Fuzzy Representations","display_name":"Quantum Logics of Fuzzy Representations","publication_year":2024,"publication_date":"2024-06-10","ids":{"openalex":"https://openalex.org/W4399503692","doi":"https://doi.org/10.1142/s1793005725500504"},"language":"en","primary_location":{"id":"doi:10.1142/s1793005725500504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005725500504","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","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":null,"display_name":"Akhilesh Kumar Singh","orcid":"https://orcid.org/0000-0002-6899-5476"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Akhilesh Kumar Singh","raw_affiliation_strings":["Department of Applied Sciences and Humanities, Kamla Nehru Institute of Technology, Sultanpur 228118, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0002-6899-5476","affiliations":[{"raw_affiliation_string":"Department of Applied Sciences and Humanities, Kamla Nehru Institute of Technology, Sultanpur 228118, Uttar Pradesh, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Rashmi Singh","orcid":"https://orcid.org/0000-0002-6139-466X"},"institutions":[{"id":"https://openalex.org/I191972202","display_name":"Amity University","ror":"https://ror.org/02n9z0v62","country_code":"IN","type":"education","lineage":["https://openalex.org/I191972202"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rashmi Singh","raw_affiliation_strings":["Amity Institute of Applied Sciences, Amity University, Noida 201313, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0000-0002-6139-466X","affiliations":[{"raw_affiliation_string":"Amity Institute of Applied Sciences, Amity University, Noida 201313, Uttar Pradesh, India","institution_ids":["https://openalex.org/I191972202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102685444","display_name":"Bhawna Singh","orcid":null},"institutions":[{"id":"https://openalex.org/I2801491316","display_name":"Government of Uttar Pradesh","ror":"https://ror.org/00hx1yw75","country_code":"IN","type":"government","lineage":["https://openalex.org/I2801491316"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bhawna Singh","raw_affiliation_strings":["Dr. Shyama Prasad Mukherji Government College, Bhadohi 221402, Uttar Pradesh, India"],"raw_orcid":"https://orcid.org/0009-0006-2924-3059","affiliations":[{"raw_affiliation_string":"Dr. Shyama Prasad Mukherji Government College, Bhadohi 221402, Uttar Pradesh, India","institution_ids":["https://openalex.org/I2801491316"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2882,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55952976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":"03","first_page":"1047","last_page":"1064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9768000245094299,"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":0.9768000245094299,"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/fuzzy-logic","display_name":"Fuzzy logic","score":0.628924548625946},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5474600791931152},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49392563104629517},{"id":"https://openalex.org/keywords/t-norm-fuzzy-logics","display_name":"T-norm fuzzy logics","score":0.43601900339126587},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43587082624435425},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34382545948028564},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.3071710765361786},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2732788324356079},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2647450566291809},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.19907832145690918},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11333677172660828},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09384307265281677}],"concepts":[{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.628924548625946},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5474600791931152},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49392563104629517},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.43601900339126587},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43587082624435425},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34382545948028564},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.3071710765361786},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2732788324356079},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2647450566291809},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.19907832145690918},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11333677172660828},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09384307265281677}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793005725500504","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793005725500504","pdf_url":null,"source":{"id":"https://openalex.org/S135331755","display_name":"New Mathematics and Natural Computation","issn_l":"1793-0057","issn":["1793-0057","1793-7027"],"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":"New Mathematics and Natural Computation","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":21,"referenced_works":["https://openalex.org/W21323306","https://openalex.org/W1143853438","https://openalex.org/W1505602946","https://openalex.org/W1514038307","https://openalex.org/W1585620996","https://openalex.org/W1668444461","https://openalex.org/W1980564456","https://openalex.org/W1990341706","https://openalex.org/W2080412456","https://openalex.org/W2100718001","https://openalex.org/W2106716471","https://openalex.org/W2765160504","https://openalex.org/W2909489276","https://openalex.org/W2911083331","https://openalex.org/W3126996113","https://openalex.org/W3132056502","https://openalex.org/W3194380022","https://openalex.org/W4211007335","https://openalex.org/W4211185072","https://openalex.org/W4292078529","https://openalex.org/W4386319343"],"related_works":["https://openalex.org/W16267316","https://openalex.org/W2375573662","https://openalex.org/W2341378906","https://openalex.org/W73496598","https://openalex.org/W2122490029","https://openalex.org/W119971517","https://openalex.org/W2067534749","https://openalex.org/W1529869727","https://openalex.org/W2011163218","https://openalex.org/W1595640337"],"abstract_inverted_index":{"Quantum":[0],"logic":[1,5],"(QL)":[2],"and":[3,22,52,85,123,153,159],"fuzzy":[4,37,40,45,49,56,75],"(FL)":[6],"have":[7],"been":[8],"gaining":[9],"attention":[10],"nowadays":[11],"due":[12],"to":[13,16,28,65,146],"its":[14],"potential":[15],"be":[17,63,126,144],"used":[18,64,145],"in":[19,73,87],"quantum":[20,70,88,157],"computing":[21],"information":[23],"theory.":[24],"This":[25,137],"paper":[26,92],"aims":[27],"provide":[29,105,160],"a":[30,74,106,148,161],"comprehensive":[31],"overview":[32],"of":[33,36,69,96,119,151,168],"QL":[34,60],"models":[35,61],"representations":[38],"viz.":[39],"sets":[41,46,50,57],"(FSs),":[42],"interval":[43,53],"valued":[44,54],"(IVFSs),":[47],"intuitionistic":[48,55],"(IFSs)":[51],"(IVIFSs).":[58],"These":[59],"can":[62,125,143],"analyze":[66],"the":[67,94,117,132,166],"behavior":[68],"logical":[71],"systems":[72],"environment,":[76],"which":[77,100],"is":[78,114,139],"particularly":[79],"useful":[80,162],"for":[81,109,164],"dealing":[82],"with":[83],"uncertainty":[84],"imprecision":[86],"environment.":[89],"Furthermore,":[90],"this":[91],"explores":[93],"concept":[95],"effect":[97],"algebras":[98],"(EAs),":[99],"are":[101,135],"algebraic":[102],"structures":[103],"that":[104,116],"natural":[107],"framework":[108],"studying":[110],"FL.":[111,169],"Specifically,":[112],"it":[113],"shown":[115],"family":[118],"FS,":[120],"IVFS,":[121],"IFS":[122],"IVIFS":[124],"organized":[127],"into":[128],"an":[129],"EA":[130],"if":[131],"Lukasiewicz":[133],"operations":[134],"considered.":[136],"result":[138],"significant":[140],"because":[141],"EAs":[142],"model":[147],"wide":[149],"range":[150],"physical":[152],"mathematical":[154],"systems,":[155,158],"including":[156],"tool":[163],"analyzing":[165],"properties":[167]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}