{"id":"https://openalex.org/W2148976264","doi":"https://doi.org/10.1109/fuzz.2001.1009072","title":"On some extensions for S-decomposable fuzzy measures","display_name":"On some extensions for S-decomposable fuzzy measures","publication_year":2005,"publication_date":"2005-08-25","ids":{"openalex":"https://openalex.org/W2148976264","doi":"https://doi.org/10.1109/fuzz.2001.1009072","mag":"2148976264"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2001.1009072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1009072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","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/A5076985479","display_name":"Vicen\u00e7 Torra","orcid":"https://orcid.org/0000-0002-0368-8037"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"V. Torra","raw_affiliation_strings":["CSIC, Catalunya, Spain"],"affiliations":[{"raw_affiliation_string":"CSIC, Catalunya, Spain","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076985479"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20642396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"785","last_page":"788"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9927999973297119,"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/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9882000088691711,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/fuzzy-measure-theory","display_name":"Fuzzy measure theory","score":0.76020348072052},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7137124538421631},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.6425082683563232},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5377820134162903},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5373588800430298},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.5049336552619934},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4929344654083252},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.460582435131073},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.44468817114830017},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4319063723087311},{"id":"https://openalex.org/keywords/choquet-integral","display_name":"Choquet integral","score":0.43068602681159973},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3533375561237335},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2943579852581024},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.25797733664512634},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.17218992114067078},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07666531205177307}],"concepts":[{"id":"https://openalex.org/C100516043","wikidata":"https://www.wikidata.org/wiki/Q4455138","display_name":"Fuzzy measure theory","level":5,"score":0.76020348072052},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7137124538421631},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.6425082683563232},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5377820134162903},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5373588800430298},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.5049336552619934},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4929344654083252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.460582435131073},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.44468817114830017},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4319063723087311},{"id":"https://openalex.org/C112799922","wikidata":"https://www.wikidata.org/wiki/Q5104911","display_name":"Choquet integral","level":3,"score":0.43068602681159973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3533375561237335},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2943579852581024},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.25797733664512634},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.17218992114067078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07666531205177307}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz.2001.1009072","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1009072","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","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":11,"referenced_works":["https://openalex.org/W657067832","https://openalex.org/W1524882147","https://openalex.org/W1536680626","https://openalex.org/W1967511701","https://openalex.org/W1980369441","https://openalex.org/W2009985679","https://openalex.org/W2055879680","https://openalex.org/W2060907774","https://openalex.org/W2095371287","https://openalex.org/W2154697444","https://openalex.org/W6665813649"],"related_works":["https://openalex.org/W2031391348","https://openalex.org/W2037428035","https://openalex.org/W2025093212","https://openalex.org/W2610377848","https://openalex.org/W1486684451","https://openalex.org/W2048452567","https://openalex.org/W4361984403","https://openalex.org/W2088978098","https://openalex.org/W4361273540","https://openalex.org/W2063835881"],"abstract_inverted_index":{"Practical":[0],"applications":[1],"of":[2,12,24,38,42,69],"fuzzy":[3,14,61],"integrals":[4],"(Choquet":[5],"and":[6],"Sugeno":[7],"integrals)":[8],"require":[9],"the":[10,48,67],"definition":[11,28],"a":[13,22,55],"measure.":[15],"However,":[16],"when":[17],"they":[18],"are":[19],"defined":[20],"in":[21,47],"domain":[23],"n":[25],"elements,":[26],"this":[27,35,51],"requires":[29],"2/sup":[30],"n/":[31],"parameters.":[32],"To":[33],"avoid":[34],"large":[36],"number":[37,68],"parameters,":[39],"several":[40],"families":[41],"measures":[43,62],"have":[44],"been":[45],"introduced":[46],"literature.":[49],"In":[50],"work":[52],"we":[53],"present":[54],"new":[56],"family":[57],"that":[58,66],"generalises":[59],"some":[60],"but":[63],"restricted":[64],"so":[65],"parameters":[70],"is":[71],"not":[72],"large.":[73]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}