{"id":"https://openalex.org/W4415125832","doi":"https://doi.org/10.1109/fuzz62266.2025.11197677","title":"On Aggregation Functions on Discrete Z-Numbers Based on Total Orders","display_name":"On Aggregation Functions on Discrete Z-Numbers Based on Total Orders","publication_year":2025,"publication_date":"2025-07-06","ids":{"openalex":"https://openalex.org/W4415125832","doi":"https://doi.org/10.1109/fuzz62266.2025.11197677"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz62266.2025.11197677","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11197677","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","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/A5040306427","display_name":"Manuel Gonz\u00e1lez-Hidalgo","orcid":"https://orcid.org/0000-0003-4984-387X"},"institutions":[{"id":"https://openalex.org/I4210126021","display_name":"Health Research Institute of the Balearic Islands","ror":"https://ror.org/037xbgq12","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210126021"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Manuel Gonz\u00e1lez-Hidalgo","raw_affiliation_strings":["Health Research Institute of the Balearic Islands (IdISBa), Laboratory of Artificial Intelligence Applications (LAIA@UIB), University of Balearic Islands,Soft Computing, Image Processing and Aggregation Research Group (SCOPIA), Artificial Intelligence Research, Institute of the Balearic Islands (IAIB),Math and Comp. Sci. Department,Spain"],"affiliations":[{"raw_affiliation_string":"Health Research Institute of the Balearic Islands (IdISBa), Laboratory of Artificial Intelligence Applications (LAIA@UIB), University of Balearic Islands,Soft Computing, Image Processing and Aggregation Research Group (SCOPIA), Artificial Intelligence Research, Institute of the Balearic Islands (IAIB),Math and Comp. Sci. Department,Spain","institution_ids":["https://openalex.org/I4210126021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119975835","display_name":"Arnau Mir-Fuentes","orcid":null},"institutions":[{"id":"https://openalex.org/I50441567","display_name":"Universitat de les Illes Balears","ror":"https://ror.org/03e10x626","country_code":"ES","type":"education","lineage":["https://openalex.org/I50441567"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Arnau Mir-Fuentes","raw_affiliation_strings":["University of Balearic Islands,Models for Fuzzy Information Processing Research Group (MOTIBO),Math and Comp. Sci. Department,Spain"],"affiliations":[{"raw_affiliation_string":"University of Balearic Islands,Models for Fuzzy Information Processing Research Group (MOTIBO),Math and Comp. Sci. Department,Spain","institution_ids":["https://openalex.org/I50441567"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012193349","display_name":"Arnau Mir","orcid":"https://orcid.org/0000-0001-5282-3699"},"institutions":[{"id":"https://openalex.org/I4210126021","display_name":"Health Research Institute of the Balearic Islands","ror":"https://ror.org/037xbgq12","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210126021"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Arnau Mir","raw_affiliation_strings":["Health Research Institute of the Balearic Islands (IdISBa), University of Balearic Islands,Soft Computing, Image Processing and Aggregation Research Group (SCOPIA), Artificial Intelligence Research, Institute of the Balearic Islands (IAIB),Math and Comp. Sci. Department,Spain"],"affiliations":[{"raw_affiliation_string":"Health Research Institute of the Balearic Islands (IdISBa), University of Balearic Islands,Soft Computing, Image Processing and Aggregation Research Group (SCOPIA), Artificial Intelligence Research, Institute of the Balearic Islands (IAIB),Math and Comp. Sci. Department,Spain","institution_ids":["https://openalex.org/I4210126021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5119975836","display_name":"Juan Vicente Riera Clap\u00e9s","orcid":null},"institutions":[{"id":"https://openalex.org/I4210126021","display_name":"Health Research Institute of the Balearic Islands","ror":"https://ror.org/037xbgq12","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210126021"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan Vicente Riera Clap\u00e9s","raw_affiliation_strings":["Health Research Institute of the Balearic Islands (IdISBa), University of Balearic Islands,Soft Computing, Image Processing and Aggregation Research Group (SCOPIA), Artificial Intelligence Research, Institute of the Balearic Islands (IAIB),Math and Comp. Sci. Department,Spain"],"affiliations":[{"raw_affiliation_string":"Health Research Institute of the Balearic Islands (IdISBa), University of Balearic Islands,Soft Computing, Image Processing and Aggregation Research Group (SCOPIA), Artificial Intelligence Research, Institute of the Balearic Islands (IAIB),Math and Comp. Sci. Department,Spain","institution_ids":["https://openalex.org/I4210126021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040306427"],"corresponding_institution_ids":["https://openalex.org/I4210126021"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28093302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9164999723434448,"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":0.9164999723434448,"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/interval","display_name":"Interval (graph theory)","score":0.6373000144958496},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5297999978065491},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5203999876976013},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4968000054359436},{"id":"https://openalex.org/keywords/agr\u00e9gation","display_name":"Agr\u00e9gation","score":0.44620001316070557},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.43560001254081726},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.3984000086784363}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6561999917030334},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6373000144958496},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5297999978065491},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5203999876976013},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4968000054359436},{"id":"https://openalex.org/C2778207910","wikidata":"https://www.wikidata.org/wiki/Q397610","display_name":"Agr\u00e9gation","level":3,"score":0.44620001316070557},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.43560001254081726},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3984000086784363},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3840000033378601},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.3725000023841858},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.364300012588501},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34049999713897705},{"id":"https://openalex.org/C15312841","wikidata":"https://www.wikidata.org/wiki/Q1657198","display_name":"Set function","level":3,"score":0.30649998784065247},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2944999933242798},{"id":"https://openalex.org/C4679612","wikidata":"https://www.wikidata.org/wiki/Q866298","display_name":"Aggregate (composite)","level":2,"score":0.27950000762939453},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.27639999985694885},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2630000114440918}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz62266.2025.11197677","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz62266.2025.11197677","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Conference on Fuzzy Systems (FUZZ)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1052643764","https://openalex.org/W1788095458","https://openalex.org/W1973922920","https://openalex.org/W1981107087","https://openalex.org/W1988053196","https://openalex.org/W1997952930","https://openalex.org/W2011854084","https://openalex.org/W2042774699","https://openalex.org/W2064003023","https://openalex.org/W2065893491","https://openalex.org/W2087309253","https://openalex.org/W2483670077","https://openalex.org/W2602994672","https://openalex.org/W2797908904","https://openalex.org/W2955987323","https://openalex.org/W3049358352","https://openalex.org/W3119004777","https://openalex.org/W3182515817","https://openalex.org/W4232799716","https://openalex.org/W4252793191","https://openalex.org/W4311256623","https://openalex.org/W4311903216","https://openalex.org/W4317378991","https://openalex.org/W4323669265","https://openalex.org/W4379933468","https://openalex.org/W4390810875","https://openalex.org/W4391862452","https://openalex.org/W4400259178"],"related_works":[],"abstract_inverted_index":{"The":[0],"study":[1],"of":[2,10,36,56,66,86],"aggregation":[3,31,50,90],"functions,":[4],"either":[5],"from":[6],"a":[7,18,26,63],"theoretical":[8],"point":[9],"view":[11],"or":[12],"for":[13,29],"their":[14],"interesting":[15],"applications,":[16],"is":[17,46,62,77],"hot":[19],"topic.":[20],"In":[21],"this":[22,80],"paper":[23],"we":[24],"propose":[25],"new":[27],"method":[28,45,82],"constructing":[30],"functions":[32,51],"on":[33,41,53],"the":[34,54,67,87],"set":[35,55],"Zadeh's":[37],"discrete":[38,57],"Z-numbers":[39],"based":[40],"total":[42],"orders.":[43],"This":[44],"characterised":[47],"by":[48],"using":[49],"defined":[52],"fuzzy":[58],"numbers":[59],"whose":[60],"support":[61],"closed":[64],"interval":[65],"finite":[68],"chain":[69],"<tex":[70],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[71],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L_{n}=\\{0,1,":[72],"\\cdots,":[73],"n\\}$</tex>.":[74],"Furthermore,":[75],"it":[76],"shown":[78],"that":[79],"construction":[81],"preserves":[83],"important":[84],"properties":[85],"chosen":[88],"initial":[89],"functions.":[91]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-14T00:00:00"}
