{"id":"https://openalex.org/W2973228426","doi":"https://doi.org/10.1142/s021848851950034x","title":"On Scatters of Probability Distributions and OWA Weights Collections","display_name":"On Scatters of Probability Distributions and OWA Weights Collections","publication_year":2019,"publication_date":"2019-09-10","ids":{"openalex":"https://openalex.org/W2973228426","doi":"https://doi.org/10.1142/s021848851950034x","mag":"2973228426"},"language":"en","primary_location":{"id":"doi:10.1142/s021848851950034x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021848851950034x","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/A5086724583","display_name":"LeSheng Jin","orcid":"https://orcid.org/0000-0003-2204-0575"},"institutions":[{"id":"https://openalex.org/I152031979","display_name":"Nanjing Normal University","ror":"https://ror.org/036trcv74","country_code":"CN","type":"education","lineage":["https://openalex.org/I152031979"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"LeSheng Jin","raw_affiliation_strings":["Business School, Nanjing Normal University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Business School, Nanjing Normal University, Nanjing, China","institution_ids":["https://openalex.org/I152031979"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058341815","display_name":"Radko Mesiar","orcid":"https://orcid.org/0000-0001-6503-949X"},"institutions":[{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]},{"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":["Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, Sk-810 05 Bratislava, Slovakia","University of Ostrava, Institute for Research & Applications of Fuzzy Modelling, 30 Dubna 22, CZ-70103 Ostrava, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, Sk-810 05 Bratislava, Slovakia","institution_ids":["https://openalex.org/I110757952"]},{"raw_affiliation_string":"University of Ostrava, Institute for Research & Applications of Fuzzy Modelling, 30 Dubna 22, CZ-70103 Ostrava, Czech Republic","institution_ids":["https://openalex.org/I187293425"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072431554","display_name":"Ronald R. Yager","orcid":"https://orcid.org/0000-0003-2938-1858"},"institutions":[{"id":"https://openalex.org/I173466955","display_name":"Iona College","ror":"https://ror.org/00m79dm66","country_code":"US","type":"education","lineage":["https://openalex.org/I173466955"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ronald Yager","raw_affiliation_strings":["Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, USA"],"affiliations":[{"raw_affiliation_string":"Machine Intelligence Institute, Iona College, New Rochelle, NY 10801, USA","institution_ids":["https://openalex.org/I173466955"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086724583"],"corresponding_institution_ids":["https://openalex.org/I152031979"],"apc_list":null,"apc_paid":null,"fwci":0.9903,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.79183785,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"27","issue":"05","first_page":"773","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":0.9987000226974487,"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":0.9987000226974487,"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":0.9904999732971191,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9657999873161316,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.6645017862319946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6066251993179321},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5904144048690796},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.4904751479625702},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4459533989429474},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4248959422111511},{"id":"https://openalex.org/keywords/probability-measure","display_name":"Probability measure","score":0.42479386925697327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3460283875465393},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32427138090133667},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2382940948009491}],"concepts":[{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.6645017862319946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6066251993179321},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5904144048690796},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.4904751479625702},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4459533989429474},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4248959422111511},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.42479386925697327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3460283875465393},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32427138090133667},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2382940948009491},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021848851950034x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021848851950034x","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":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1995875735","https://openalex.org/W2033810643","https://openalex.org/W2040789133","https://openalex.org/W2045371359","https://openalex.org/W2060907774","https://openalex.org/W2076428443","https://openalex.org/W2116957819","https://openalex.org/W2147595926","https://openalex.org/W2282429601","https://openalex.org/W2283590505","https://openalex.org/W2461110242","https://openalex.org/W2530209749","https://openalex.org/W2564102867","https://openalex.org/W2573557467","https://openalex.org/W2772788251","https://openalex.org/W2783926781"],"related_works":["https://openalex.org/W2414667732","https://openalex.org/W2183396261","https://openalex.org/W2340232283","https://openalex.org/W1600097617","https://openalex.org/W130813085","https://openalex.org/W4300998569","https://openalex.org/W2317603910","https://openalex.org/W4233290694","https://openalex.org/W2358249721","https://openalex.org/W2188698441"],"abstract_inverted_index":{"This":[0],"study":[1],"proposes":[2],"a":[3,27,31,95,118],"novel":[4,78],"concept":[5,79],"of":[6,30,58,138],"Scatter":[7,146],"for":[8,85,109,121,147],"probability":[9],"distribution":[10],"(on":[11],"[0,1]).":[12],"The":[13,34,65,77],"proposed":[14],"measurement":[15,35,61,66,120],"is":[16,150],"different":[17],"from":[18],"famous":[19],"Shannon":[20],"Entropy":[21],"since":[22],"it":[23],"considers":[24],"[0,1]":[25],"as":[26,117],"chain":[28],"instead":[29],"normal":[32],"set.":[33],"works":[36],"easily":[37],"and":[38,42,56,75,89,135],"reasonably":[39],"in":[40,71],"practice":[41],"conforms":[43],"to":[44,127],"human":[45],"intuition.":[46],"Some":[47],"interesting":[48],"properties":[49],"like":[50,131],"symmetricity,":[51],"translation":[52],"invariance,":[53],"weak":[54],"convergence":[55],"concavity":[57],"this":[59],"new":[60,96,119],"are":[62],"also":[63,67,81],"obtained.":[64],"has":[68],"good":[69],"potential":[70],"more":[72],"theoretical":[73],"studies":[74],"applications.":[76],"can":[80],"be":[82],"suitably":[83],"adapted":[84],"discrete":[86],"OWA":[87,110,122,139],"operators":[88],"RIM":[90,148],"quantifiers.":[91],"We":[92,113],"then":[93],"propose":[94],"measurement,":[97],"the":[98,105,143],"Preference":[99,107,145],"Scatter,":[100,108],"with":[101,125],"its":[102,115],"normalized":[103],"form,":[104],"Normalized":[106,133],"weights":[111,123],"collections.":[112],"analyze":[114],"reasonability":[116],"collections":[124],"comparisons":[126],"some":[128],"other":[129],"measurements":[130],"Orness,":[132],"Dispersion":[134],"Hurwicz":[136],"Degree":[137],"operators.":[140],"In":[141],"addition,":[142],"corresponding":[144],"quantifiers":[149],"defined.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}