{"id":"https://openalex.org/W2069460002","doi":"https://doi.org/10.5220/0005132701690174","title":"Fuzzy Function and the Generalized Extension Principle","display_name":"Fuzzy Function and the Generalized Extension Principle","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2069460002","doi":"https://doi.org/10.5220/0005132701690174","mag":"2069460002"},"language":"en","primary_location":{"id":"doi:10.5220/0005132701690174","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0005132701690174","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Fuzzy Computation Theory and Applications","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.5220/0005132701690174","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020080025","display_name":"Irina Perfilieva","orcid":"https://orcid.org/0000-0003-1531-1111"},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Irina Perfilieva","raw_affiliation_strings":["University of Ostrava and University of Latia, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ostrava and University of Latia, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110183514","display_name":"Alexandr \u0160ostak","orcid":null},"institutions":[{"id":"https://openalex.org/I91123046","display_name":"University of Latvia","ror":"https://ror.org/05g3mes96","country_code":"LV","type":"education","lineage":["https://openalex.org/I91123046"]}],"countries":["LV"],"is_corresponding":false,"raw_author_name":"Alexandr \u0160ostak","raw_affiliation_strings":["University of Ostrava, Latvia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Ostrava, Latvia","institution_ids":["https://openalex.org/I91123046"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16024974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"169","last_page":"174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9973999857902527,"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/fuzzy-classification","display_name":"Fuzzy classification","score":0.6497926115989685},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.6307977437973022},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.6278277635574341},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6259982585906982},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.6222950220108032},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.619513988494873},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6179177761077881},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.607033371925354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6061014533042908},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.5864707827568054},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.5690819621086121},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3688775897026062},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3680804669857025},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3353039026260376},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3192673325538635},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20349228382110596}],"concepts":[{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.6497926115989685},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.6307977437973022},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.6278277635574341},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6259982585906982},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.6222950220108032},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.619513988494873},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6179177761077881},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.607033371925354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6061014533042908},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.5864707827568054},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.5690819621086121},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3688775897026062},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3680804669857025},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3353039026260376},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3192673325538635},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20349228382110596},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5220/0005132701690174","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0005132701690174","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Fuzzy Computation Theory and Applications","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.5220/0005132701690174","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0005132701690174","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the International Conference on Fuzzy Computation Theory and Applications","raw_type":"proceedings-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1496969574","https://openalex.org/W1966407765","https://openalex.org/W1980375851","https://openalex.org/W1991172462","https://openalex.org/W2075541500","https://openalex.org/W2093580155","https://openalex.org/W2110182592","https://openalex.org/W2157041604","https://openalex.org/W2161949687","https://openalex.org/W2724606963"],"related_works":["https://openalex.org/W2781808531","https://openalex.org/W1487720066","https://openalex.org/W4361984403","https://openalex.org/W1975005191","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W2145270521","https://openalex.org/W1542808721","https://openalex.org/W3186561448","https://openalex.org/W2025902904"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,10,56,91,103],"this":[3,95],"contribution":[4],"is":[5,25,53,97],"to":[6,42,46,89,99],"develop":[7],"a":[8,21,50,54,62,65],"theory":[9],"such":[11],"concepts":[12],"as":[13,24],"fuzzy":[14,16,19,66,84,92],"point,":[15],"set":[17,52],"and":[18,36,68,94],"function\r\n\r\nin":[20],"similar":[22],"style":[23],"common":[26],"in":[27],"classical":[28,48],"mathematical":[29],"analysis.":[30],"We":[31,60,80],"recall":[32],"some":[33],"known":[34],"notions":[35],"propose\r\n\r\nnew":[37],"ones":[38],"with":[39,76],"the":[40,47,77,100],"purpose":[41],"show":[43,61,81],"that,":[44],"similarly":[45],"case,":[49],"(fuzzy)":[51],"collection":[55],"(fuzzy)\r\n\r\npoints":[57],"or":[58],"singletons.":[59],"relationship":[63],"between":[64],"function":[67,85],"its":[69],"ordinary":[70],"\u00e2\u0080\u009cskeleton\u00e2\u0080\u009d":[71],"that":[72,82],"can\r\n\r\nbe":[73],"naturally":[74],"associated":[75],"original":[78],"function.":[79],"any":[83],"can":[86],"be":[87],"extended":[88],"the\r\n\r\ndomain":[90],"subsets":[93],"extension":[96],"analogous":[98],"Extension":[101],"Principle":[102],"L.":[104],"A.":[105],"Zadeh.":[106]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
