{"id":"https://openalex.org/W2053128243","doi":"https://doi.org/10.1142/s0218488515500087","title":"Partial Orders on Fuzzy Truth Value Algebras","display_name":"Partial Orders on Fuzzy Truth Value Algebras","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W2053128243","doi":"https://doi.org/10.1142/s0218488515500087","mag":"2053128243"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488515500087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488515500087","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"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":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","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":"https://openalex.org/A5034730206","display_name":"John Harding","orcid":"https://orcid.org/0000-0002-8539-0372"},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John Harding","raw_affiliation_strings":["Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA","Department of Mathematical Sciences, New Mexico State University Las Cruces, New Mexico, 88003, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA","institution_ids":["https://openalex.org/I10052268"]},{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University Las Cruces, New Mexico, 88003, USA","institution_ids":["https://openalex.org/I10052268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113635462","display_name":"Carol Walker","orcid":null},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carol Walker","raw_affiliation_strings":["Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA","Department of Mathematical Sciences, New Mexico State University Las Cruces, New Mexico, 88003, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA","institution_ids":["https://openalex.org/I10052268"]},{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University Las Cruces, New Mexico, 88003, USA","institution_ids":["https://openalex.org/I10052268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109977624","display_name":"Elbert A. Walker","orcid":null},"institutions":[{"id":"https://openalex.org/I10052268","display_name":"New Mexico State University","ror":"https://ror.org/00hpz7z43","country_code":"US","type":"education","lineage":["https://openalex.org/I10052268"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Elbert Walker","raw_affiliation_strings":["Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA","Department of Mathematical Sciences, New Mexico State University Las Cruces, New Mexico, 88003, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003, USA","institution_ids":["https://openalex.org/I10052268"]},{"raw_affiliation_string":"Department of Mathematical Sciences, New Mexico State University Las Cruces, New Mexico, 88003, USA","institution_ids":["https://openalex.org/I10052268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I10052268"],"apc_list":null,"apc_paid":null,"fwci":1.069,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86772985,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"23","issue":"02","first_page":"193","last_page":"219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.998199999332428,"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":0.998199999332428,"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":0.9961000084877014,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9835000038146973,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.7910465598106384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7302457094192505},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5402230024337769},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5255072116851807},{"id":"https://openalex.org/keywords/binary-operation","display_name":"Binary operation","score":0.5205181837081909},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5040480494499207},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.4880425035953522},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.43705514073371887},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40710321068763733},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4045726954936981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11981385946273804},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07448622584342957}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.7910465598106384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7302457094192505},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5402230024337769},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5255072116851807},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.5205181837081909},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5040480494499207},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.4880425035953522},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.43705514073371887},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40710321068763733},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4045726954936981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11981385946273804},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07448622584342957},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218488515500087","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488515500087","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"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":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.891.3474","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.891.3474","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.math.nmsu.edu/%7Ejharding/2013%20Partial%20orders%20on%20fuzzy%20truth%20value%20algebras.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1500907847","https://openalex.org/W1985204380","https://openalex.org/W2026457244","https://openalex.org/W2036086407","https://openalex.org/W2056310122","https://openalex.org/W2057266079","https://openalex.org/W2063041878","https://openalex.org/W2068528966","https://openalex.org/W2069693518","https://openalex.org/W2088220507","https://openalex.org/W2093397547","https://openalex.org/W2102616948","https://openalex.org/W2103729992","https://openalex.org/W2147340301","https://openalex.org/W2157041604","https://openalex.org/W2598771954","https://openalex.org/W3188118795","https://openalex.org/W4245152641"],"related_works":["https://openalex.org/W372303224","https://openalex.org/W2199450188","https://openalex.org/W189366404","https://openalex.org/W2942010278","https://openalex.org/W920194837","https://openalex.org/W1964288925","https://openalex.org/W77437035","https://openalex.org/W29929051","https://openalex.org/W3005519960","https://openalex.org/W1981153708"],"abstract_inverted_index":{"The":[0],"elements":[1,86,157],"of":[2,7,14,26,48,51,65,68,78,87,100,112,121,126,137,147,158],"the":[3,12,15,27,44,66,69,85,97,113,118,122,156,159],"truth":[4,123],"value":[5,124],"algebra":[6,31,125],"type-2":[8,127],"fuzzy":[9,128],"sets":[10,129],"are":[11,96],"mappings":[13,50,111,136],"unit":[16,114],"interval":[17,115],"into":[18,58,116,141],"itself,":[19,117],"with":[20,55],"operations":[21,76],"given":[22],"by":[23,131],"various":[24,38],"convolutions":[25],"pointwise":[28],"operations.":[29],"This":[30],"can":[32],"be":[33],"specialized":[34],"and":[35,62,93,133,162,174],"generalized":[36],"in":[37,106,163,170],"interesting":[39],"ways.":[40],"First,":[41],"we":[42],"consider":[43],"more":[45],"general":[46],"case":[47],"all":[49,110,135],"a":[52,59,81,138],"bounded":[53],"chain":[54,140],"an":[56],"involution":[57],"complete":[60],"chain,":[61],"delimit":[63],"some":[64],"properties":[67],"resulting":[70,160],"algebra.":[71,89],"These":[72,90],"include":[73],"two":[74,107,149,152],"binary":[75],"each":[77,146,164],"which":[79],"give":[80],"partial":[82,91,153,172],"order":[83],"on":[84,155],"that":[88],"orders":[92,154,173],"their":[94,175],"intersection":[95],"principal":[98,167],"objects":[99],"interest.":[101],"We":[102],"specialize":[103],"this":[104],"situation":[105],"cases:":[108],"(1)":[109],"original":[119],"version":[120],"introduced":[130],"Zadeh,":[132],"(2)":[134],"finite":[139,143],"another":[142],"chain.":[144],"Again,":[145],"these":[148,171],"cases":[150],"yields":[151],"algebras,":[161],"case,":[165],"our":[166],"interest":[168],"is":[169],"intersection.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}