{"id":"https://openalex.org/W2979338343","doi":"https://doi.org/10.1142/s0218488519400026","title":"Additive Aggregation Functions: Generalizations and Modifications of Additivity","display_name":"Additive Aggregation Functions: Generalizations and Modifications of Additivity","publication_year":2019,"publication_date":"2019-10-11","ids":{"openalex":"https://openalex.org/W2979338343","doi":"https://doi.org/10.1142/s0218488519400026","mag":"2979338343"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488519400026","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488519400026","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/A5024224758","display_name":"Anna Koles\u00e1rov\u00e1","orcid":"https://orcid.org/0000-0001-6438-0039"},"institutions":[{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"Anna Koles\u00e1rov\u00e1","raw_affiliation_strings":["Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinsk\u00e9ho 9, 812 37 Bratislava, Slovakia"],"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinsk\u00e9ho 9, 812 37 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078817198","display_name":"Fateme Kouchakinejad","orcid":"https://orcid.org/0000-0001-7891-7183"},"institutions":[{"id":"https://openalex.org/I115566878","display_name":"Shahid Bahonar University of Kerman","ror":"https://ror.org/04zn42r77","country_code":"IR","type":"education","lineage":["https://openalex.org/I115566878"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Fateme Kouchakinejad","raw_affiliation_strings":["Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran","institution_ids":["https://openalex.org/I115566878"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058341815","display_name":"Radko Mesiar","orcid":"https://orcid.org/0000-0001-6503-949X"},"institutions":[{"id":"https://openalex.org/I70703428","display_name":"Palack\u00fd University Olomouc","ror":"https://ror.org/04qxnmv42","country_code":"CZ","type":"education","lineage":["https://openalex.org/I70703428"]},{"id":"https://openalex.org/I110757952","display_name":"Slovak University of Technology in Bratislava","ror":"https://ror.org/0561ghm58","country_code":"SK","type":"education","lineage":["https://openalex.org/I110757952"]}],"countries":["CZ","SK"],"is_corresponding":false,"raw_author_name":"Radko Mesiar","raw_affiliation_strings":["Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia","Palack\u00fd University Olomouc, Faculty of Science, Department of Algebra and Geometry, 17. listopadu 12, 771 46 Olomouc, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"Palack\u00fd University Olomouc, Faculty of Science, Department of Algebra and Geometry, 17. listopadu 12, 771 46 Olomouc, Czech Republic","institution_ids":["https://openalex.org/I70703428"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024224758"],"corresponding_institution_ids":["https://openalex.org/I110757952"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14723516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"Supp01","first_page":"39","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9911999702453613,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9635999798774719,"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/additive-function","display_name":"Additive function","score":0.9903204441070557},{"id":"https://openalex.org/keywords/additive-model","display_name":"Additive model","score":0.5326107740402222},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5137466192245483},{"id":"https://openalex.org/keywords/unit-interval","display_name":"Unit interval","score":0.48969224095344543},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.429382860660553},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.1952652633190155},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.16966313123703003},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.14820808172225952},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10812795162200928}],"concepts":[{"id":"https://openalex.org/C38803922","wikidata":"https://www.wikidata.org/wiki/Q95745348","display_name":"Additive function","level":2,"score":0.9903204441070557},{"id":"https://openalex.org/C203223496","wikidata":"https://www.wikidata.org/wiki/Q4681344","display_name":"Additive model","level":2,"score":0.5326107740402222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5137466192245483},{"id":"https://openalex.org/C128394911","wikidata":"https://www.wikidata.org/wiki/Q1987578","display_name":"Unit interval","level":2,"score":0.48969224095344543},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.429382860660553},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.1952652633190155},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.16966313123703003},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.14820808172225952},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10812795162200928}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488519400026","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488519400026","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"}],"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/W1992786123","https://openalex.org/W2020154669","https://openalex.org/W2033810643","https://openalex.org/W2040789133","https://openalex.org/W2060907774","https://openalex.org/W2125624718","https://openalex.org/W2745910301","https://openalex.org/W3121172931"],"related_works":["https://openalex.org/W2347490332","https://openalex.org/W1992339587","https://openalex.org/W2790688139","https://openalex.org/W2245078627","https://openalex.org/W1604481637","https://openalex.org/W2789510480","https://openalex.org/W4385214336","https://openalex.org/W1998446319","https://openalex.org/W39381033","https://openalex.org/W2055973465"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"study":[4],"some":[5,26],"modifications":[6,36],"and":[7,48,50,55,61],"generalizations":[8],"of":[9,14,29,37,53],"additivity":[10,38,40,45],"in":[11],"the":[12,18],"case":[13],"aggregation":[15,30,57,63],"functions":[16,31],"on":[17],"unit":[19],"interval":[20],"[0,":[21],"1].":[22],"We":[23],"prove":[24],"that":[25],"common":[27],"properties":[28],"can":[32],"be":[33],"viewed":[34],"as":[35],"\u2014":[39],"with":[41],"constraints.We":[42],"also":[43],"generalize":[44],"into":[46],"pseudo-additivity":[47],"k-pseudo-additivity,":[49],"provide":[51],"characterization":[52],"pseudo-additive":[54],"k-pseudo-additive":[56],"functions,":[58],"including":[59],"maxitive":[60],"k-maxitive":[62],"functions.":[64]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}