{"id":"https://openalex.org/W2172206893","doi":"https://doi.org/10.1109/fuzzy.2011.6007407","title":"Efficient centroid computation of general type-2 fuzzy sets with linear secondary membership function","display_name":"Efficient centroid computation of general type-2 fuzzy sets with linear secondary membership function","publication_year":2011,"publication_date":"2011-06-01","ids":{"openalex":"https://openalex.org/W2172206893","doi":"https://doi.org/10.1109/fuzzy.2011.6007407","mag":"2172206893"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2011.6007407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","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/A5048261783","display_name":"Xinwang Liu","orcid":"https://orcid.org/0000-0001-8230-8380"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xinwang Liu","raw_affiliation_strings":["School of Economics and Management, South-East University, Nanjing, Jiangsu, China"],"affiliations":[{"raw_affiliation_string":"School of Economics and Management, South-East University, Nanjing, Jiangsu, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048261783"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.14377085,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2163","last_page":"2169"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T10320","display_name":"Neural Networks and Applications","score":0.9907000064849854,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9872000217437744,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/centroid","display_name":"Centroid","score":0.6709660887718201},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.6541343331336975},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6217107176780701},{"id":"https://openalex.org/keywords/defuzzification","display_name":"Defuzzification","score":0.6143085956573486},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.6046697497367859},{"id":"https://openalex.org/keywords/fuzzy-classification","display_name":"Fuzzy classification","score":0.5961227416992188},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5349639058113098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5131081342697144},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.5100405812263489},{"id":"https://openalex.org/keywords/fuzzy-mathematics","display_name":"Fuzzy mathematics","score":0.4920463263988495},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4736146628856659},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41843974590301514},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.41766947507858276},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3841303288936615},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3728064298629761}],"concepts":[{"id":"https://openalex.org/C146599234","wikidata":"https://www.wikidata.org/wiki/Q511093","display_name":"Centroid","level":2,"score":0.6709660887718201},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.6541343331336975},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6217107176780701},{"id":"https://openalex.org/C170260401","wikidata":"https://www.wikidata.org/wiki/Q5251735","display_name":"Defuzzification","level":5,"score":0.6143085956573486},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.6046697497367859},{"id":"https://openalex.org/C127385683","wikidata":"https://www.wikidata.org/wiki/Q1475696","display_name":"Fuzzy classification","level":4,"score":0.5961227416992188},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5349639058113098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5131081342697144},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.5100405812263489},{"id":"https://openalex.org/C166586474","wikidata":"https://www.wikidata.org/wiki/Q5511129","display_name":"Fuzzy mathematics","level":5,"score":0.4920463263988495},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4736146628856659},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41843974590301514},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.41766947507858276},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3841303288936615},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3728064298629761},{"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:10.1109/fuzzy.2011.6007407","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2011.6007407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W564030374","https://openalex.org/W572859077","https://openalex.org/W600044775","https://openalex.org/W647481897","https://openalex.org/W1511986652","https://openalex.org/W1531722926","https://openalex.org/W1594171446","https://openalex.org/W1983658296","https://openalex.org/W2000976145","https://openalex.org/W2021610718","https://openalex.org/W2039037639","https://openalex.org/W2058683246","https://openalex.org/W2063928388","https://openalex.org/W2071271882","https://openalex.org/W2077962659","https://openalex.org/W2094585062","https://openalex.org/W2096768134","https://openalex.org/W2101161011","https://openalex.org/W2108225531","https://openalex.org/W2128251760","https://openalex.org/W2130135344","https://openalex.org/W2132885717","https://openalex.org/W2147708960","https://openalex.org/W2150879558","https://openalex.org/W2151614844","https://openalex.org/W2154186319","https://openalex.org/W2155263265","https://openalex.org/W2165846406","https://openalex.org/W2166621107","https://openalex.org/W2171715801","https://openalex.org/W2184553077","https://openalex.org/W2415729042","https://openalex.org/W2483669932","https://openalex.org/W2505876340","https://openalex.org/W2912565176","https://openalex.org/W4210879362","https://openalex.org/W4211007335","https://openalex.org/W4237812326","https://openalex.org/W4285719527","https://openalex.org/W4292158025","https://openalex.org/W4394999521","https://openalex.org/W6630385687","https://openalex.org/W6631934034","https://openalex.org/W6635647978","https://openalex.org/W6686288622","https://openalex.org/W6716120247","https://openalex.org/W7030376686"],"related_works":["https://openalex.org/W1487720066","https://openalex.org/W1975005191","https://openalex.org/W2781808531","https://openalex.org/W2253053392","https://openalex.org/W3107001035","https://openalex.org/W4361984403","https://openalex.org/W3207735076","https://openalex.org/W2331106272","https://openalex.org/W2674573885","https://openalex.org/W2025902904"],"abstract_inverted_index":{"This":[0],"paper":[1,41],"provides":[2],"root":[3],"finding":[4],"methods":[5,38,50],"for":[6,51],"the":[7,26,29,35,52],"centroid":[8,36],"computation":[9,37],"of":[10,28],"interval":[11],"type-2":[12,17,30,53],"fuzzy":[13,18,31,54],"sets":[14,19,32],"and":[15,44],"general":[16],"with":[20],"linear":[21],"secondary":[22],"membership":[23],"function.":[24],"When":[25],"FOUs":[27],"are":[33],"provided,":[34],"in":[39],"this":[40],"is":[42],"accurate":[43],"computational":[45],"efficient,":[46],"which":[47],"provide":[48],"new":[49],"systems":[55],"computation.":[56]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
