{"id":"https://openalex.org/W3193919626","doi":"https://doi.org/10.1145/3469213.3472793","title":"Approximations of Fuzzy Numbers by 2-2-step Type Fuzzy Numbers","display_name":"Approximations of Fuzzy Numbers by 2-2-step Type Fuzzy Numbers","publication_year":2021,"publication_date":"2021-05-28","ids":{"openalex":"https://openalex.org/W3193919626","doi":"https://doi.org/10.1145/3469213.3472793","mag":"3193919626"},"language":"en","primary_location":{"id":"doi:10.1145/3469213.3472793","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3469213.3472793","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 2nd International Conference on Artificial Intelligence and Information Systems","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/A5038622222","display_name":"Yipei Zhang","orcid":"https://orcid.org/0000-0002-9192-2494"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yipei Zhang","raw_affiliation_strings":["Hangzhou Dianzi University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hangzhou Dianzi University, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100665885","display_name":"Guixiang Wang","orcid":"https://orcid.org/0000-0002-1748-4369"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guixiang Wang","raw_affiliation_strings":["Hangzhou Dianzi University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hangzhou Dianzi University, China","institution_ids":["https://openalex.org/I50760025"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2338,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59188498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9994999766349792,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9979000091552734,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9904000163078308,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.746649980545044},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6659691333770752},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6061248779296875},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5481380820274353},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.5426145195960999},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5178106427192688},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5176437497138977},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.5009653568267822},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4700649678707123},{"id":"https://openalex.org/keywords/type-2-fuzzy-sets-and-systems","display_name":"Type-2 fuzzy sets and systems","score":0.4571852385997772},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4222787320613861},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.41042280197143555},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3203742802143097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2358916699886322},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21988585591316223},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0876300036907196}],"concepts":[{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.746649980545044},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6659691333770752},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6061248779296875},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5481380820274353},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.5426145195960999},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5178106427192688},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5176437497138977},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.5009653568267822},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4700649678707123},{"id":"https://openalex.org/C17350324","wikidata":"https://www.wikidata.org/wiki/Q7860605","display_name":"Type-2 fuzzy sets and systems","level":5,"score":0.4571852385997772},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4222787320613861},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.41042280197143555},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3203742802143097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2358916699886322},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21988585591316223},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0876300036907196},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3469213.3472793","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3469213.3472793","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 2nd International Conference on Artificial Intelligence and Information Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2031549050","https://openalex.org/W2035427086","https://openalex.org/W2062085151","https://openalex.org/W2091018455","https://openalex.org/W2515553838","https://openalex.org/W2908082057","https://openalex.org/W2911842935","https://openalex.org/W3045872916"],"related_works":["https://openalex.org/W2184441312","https://openalex.org/W1485268022","https://openalex.org/W1975005191","https://openalex.org/W2674573885","https://openalex.org/W2253053392","https://openalex.org/W1542808721","https://openalex.org/W2331106272","https://openalex.org/W1489009679","https://openalex.org/W3176863924","https://openalex.org/W2025902904"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3],"approximation":[4,65],"method":[5],"is":[6,62,72],"given":[7,23],"using":[8],"step":[9,45,54],"type":[10,58],"fuzzy":[11,17,25,59,69,77],"number":[12,60],"to":[13,74,85],"approximate":[14],"a":[15,27],"general":[16,24,68,76],"number.":[18,78],"Say":[19],"concretely,":[20],"for":[21,34],"any":[22],"number,":[26,70],"group":[28],"of":[29,37,42,51,55,66,91],"calculation":[30,93],"formulas":[31],"are":[32],"obtained":[33],"the":[35,38,43,47,52,56,63,67,75,87],"coordinates":[36],"left":[39,44],"end":[40,49],"point":[41,50],"and":[46,89],"right":[48,53],"2-2-step":[57],"that":[61],"best":[64],"i.e.,":[71],"nearest":[73],"At":[79],"last,":[80],"we":[81],"present":[82],"specific":[83],"example":[84],"show":[86],"effectiveness":[88],"usability":[90],"our":[92],"formulas.":[94]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}