{"id":"https://openalex.org/W1982250532","doi":"https://doi.org/10.1016/j.ins.2009.11.038","title":"On probabilistic n-ary hypergroups","display_name":"On probabilistic n-ary hypergroups","publication_year":2009,"publication_date":"2009-12-07","ids":{"openalex":"https://openalex.org/W1982250532","doi":"https://doi.org/10.1016/j.ins.2009.11.038","mag":"1982250532"},"language":"en","primary_location":{"id":"doi:10.1016/j.ins.2009.11.038","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ins.2009.11.038","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","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/A5100691996","display_name":"Jianming Zhan","orcid":"https://orcid.org/0000-0003-2510-9515"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianming Zhan","raw_affiliation_strings":["Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, PR China","institution_ids":["https://openalex.org/I4210106563"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012148158","display_name":"Bijan Davvaz","orcid":"https://orcid.org/0000-0003-1941-5372"},"institutions":[{"id":"https://openalex.org/I112536369","display_name":"Yazd University","ror":"https://ror.org/02x99ac45","country_code":"IR","type":"education","lineage":["https://openalex.org/I112536369"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Bijan Davvaz","raw_affiliation_strings":["Department of Mathematics, Yazd University, Yazd, Iran","Department of Mathematics, Yazd University, Yazd, Iran#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yazd University, Yazd, Iran","institution_ids":["https://openalex.org/I112536369"]},{"raw_affiliation_string":"Department of Mathematics, Yazd University, Yazd, Iran#TAB#","institution_ids":["https://openalex.org/I112536369"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102455214","display_name":"K. P. Shum","orcid":null},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"K.P. Shum","raw_affiliation_strings":["Department of Mathematics, THe University of Hong Kong, Pofulam Road, Hong Kong(SAR), PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, THe University of Hong Kong, Pofulam Road, Hong Kong(SAR), PR China","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100691996"],"corresponding_institution_ids":["https://openalex.org/I4210106563"],"apc_list":{"value":3200,"currency":"USD","value_usd":3200},"apc_paid":null,"fwci":4.0123,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.93282044,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"180","issue":"7","first_page":"1159","last_page":"1166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9800999760627747,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8816223740577698},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.8411217927932739},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5657798051834106},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43818527460098267},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.425995796918869},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35892319679260254},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34351786971092224},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12001490592956543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07168582081794739},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.053280800580978394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8816223740577698},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.8411217927932739},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5657798051834106},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43818527460098267},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.425995796918869},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35892319679260254},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34351786971092224},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12001490592956543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07168582081794739},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.053280800580978394}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.ins.2009.11.038","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.ins.2009.11.038","pdf_url":null,"source":{"id":"https://openalex.org/S192650101","display_name":"Information Sciences","issn_l":"0020-0255","issn":["0020-0255","1872-6291"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W114267117","https://openalex.org/W119371895","https://openalex.org/W1537177548","https://openalex.org/W1548365413","https://openalex.org/W1570157814","https://openalex.org/W1968172834","https://openalex.org/W1969537852","https://openalex.org/W1972591272","https://openalex.org/W1979201506","https://openalex.org/W1982731492","https://openalex.org/W1992354936","https://openalex.org/W2017954063","https://openalex.org/W2023031577","https://openalex.org/W2023226396","https://openalex.org/W2027885218","https://openalex.org/W2030105586","https://openalex.org/W2035341213","https://openalex.org/W2036030780","https://openalex.org/W2043779178","https://openalex.org/W2052232639","https://openalex.org/W2085238338","https://openalex.org/W2159651000","https://openalex.org/W2163982943","https://openalex.org/W2220411933","https://openalex.org/W2912565176","https://openalex.org/W2995989488","https://openalex.org/W4210778630","https://openalex.org/W4211007335","https://openalex.org/W4214940931","https://openalex.org/W6631890085","https://openalex.org/W6632737543"],"related_works":["https://openalex.org/W2494523064","https://openalex.org/W2943623134","https://openalex.org/W2588219639","https://openalex.org/W2030292806","https://openalex.org/W2215759665","https://openalex.org/W2960358116","https://openalex.org/W3041172967","https://openalex.org/W2749065928","https://openalex.org/W2147155098","https://openalex.org/W4287727129"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":7}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
