{"id":"https://openalex.org/W1510249257","doi":"https://doi.org/10.22111/ijfs.2011.237","title":"ON -ARY HYPERGROUPS AND FUZZY -ARY HOMOMORPHISM","display_name":"ON -ARY HYPERGROUPS AND FUZZY -ARY HOMOMORPHISM","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1510249257","doi":"https://doi.org/10.22111/ijfs.2011.237","mag":"1510249257"},"language":"en","primary_location":{"id":"mag:1510249257","doi":"https://doi.org/10.22111/ijfs.2011.237","is_oa":false,"landing_page_url":"https://ijfs.usb.ac.ir/article_237_ea23a937b8bfe7d93a4e7c3e69a6bbc5.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S30613177","display_name":"Iranian journal of fuzzy systems","issn_l":"1735-0654","issn":["1735-0654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319143","host_organization_name":"University of Sistan and Baluchestan","host_organization_lineage":["https://openalex.org/P4310319143"],"host_organization_lineage_names":["University of Sistan and Baluchestan"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Iranian journal of fuzzy systems","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W1510249257"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":[],"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/A5005506020","display_name":"Osman Kazanc\u0131","orcid":"https://orcid.org/0000-0001-8243-3050","observed_orcids":["https://orcid.org/0000-0001-8243-3050"]},"institutions":[{"id":"https://openalex.org/I162720556","display_name":"Karadeniz Technical University","ror":"https://ror.org/03z8fyr40","country_code":"TR","type":"education","lineage":["https://openalex.org/I162720556"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"O. Kazanc\u0131","raw_affiliation_strings":["Department of Mathematics , Karadeniz Technical University , 61080, Trabzon, Turkey"],"raw_orcid":"https://orcid.org/0000-0001-8243-3050","affiliations":[{"raw_affiliation_string":"Department of Mathematics , Karadeniz Technical University , 61080, Trabzon, Turkey","institution_ids":["https://openalex.org/I162720556"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010663567","display_name":"Sultan Yamak","orcid":"https://orcid.org/0000-0001-6499-4436","observed_orcids":["https://orcid.org/0000-0001-6499-4436"]},"institutions":[{"id":"https://openalex.org/I162720556","display_name":"Karadeniz Technical University","ror":"https://ror.org/03z8fyr40","country_code":"TR","type":"education","lineage":["https://openalex.org/I162720556"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"S. Yamak","raw_affiliation_strings":["Department of Mathematics , Karadeniz Technical University , 61080, Trabzon, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Karadeniz Technical University , 61080, Trabzon, Turkey","institution_ids":["https://openalex.org/I162720556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012148158","display_name":"Bijan Davvaz","orcid":"https://orcid.org/0000-0003-1941-5372","observed_orcids":["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#TAB#"],"raw_orcid":"https://orcid.org/0000-0003-1941-5372","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yazd University, Yazd, Iran#TAB#","institution_ids":["https://openalex.org/I112536369"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0102,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.8572361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"8","issue":"1","first_page":"65","last_page":"76"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9146000146865845,"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":0.9146000146865845,"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":0.08070000261068344,"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/T12135","display_name":"Fuzzy Systems and Optimization","score":0.0006000000284984708,"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/fuzzy-homomorphisms","display_name":"fuzzy homomorphisms","score":0.9409999847412109},{"id":"https://openalex.org/keywords/decomposition-theorem","display_name":"decomposition theorem","score":0.953000009059906},{"id":"https://openalex.org/keywords/fuzzy-algebraic-structures","display_name":"fuzzy algebraic structures","score":0.5490000247955322}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.9402272701263428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8427464962005615},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.8173680305480957},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6314258575439453},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5835784077644348},{"id":"https://openalex.org/C26231708","wikidata":"https://www.wikidata.org/wiki/Q1065966","display_name":"Isomorphism theorem","level":2,"score":0.5557345151901245},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49209064245224},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4465149939060211},{"id":"https://openalex.org/C115740575","wikidata":"https://www.wikidata.org/wiki/Q5511136","display_name":"Fuzzy subalgebra","level":5,"score":0.4329802691936493},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4229894280433655},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.37548840045928955},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.2884669303894043},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07959339022636414},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05831092596054077},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"mag:1510249257","doi":"https://doi.org/10.22111/ijfs.2011.237","is_oa":false,"landing_page_url":"https://ijfs.usb.ac.ir/article_237_ea23a937b8bfe7d93a4e7c3e69a6bbc5.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S30613177","display_name":"Iranian journal of fuzzy systems","issn_l":"1735-0654","issn":["1735-0654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","poland-40","russia-white-list-1"],"host_organization":"https://openalex.org/P4310319143","host_organization_name":"University of Sistan and Baluchestan","host_organization_lineage":["https://openalex.org/P4310319143"],"host_organization_lineage_names":["University of Sistan and Baluchestan"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Iranian journal of fuzzy systems","raw_type":null},{"id":"mag:2339692903","doi":null,"is_oa":false,"landing_page_url":"https://ijfs.usb.ac.ir/article_237_ea23a937b8bfe7d93a4e7c3e69a6bbc5.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W64077981","https://openalex.org/W1537177548","https://openalex.org/W1548365413","https://openalex.org/W1570157814","https://openalex.org/W1979201506","https://openalex.org/W1985281179","https://openalex.org/W1994171503","https://openalex.org/W1995370770","https://openalex.org/W2015388320","https://openalex.org/W2024558191","https://openalex.org/W2035425998","https://openalex.org/W2036030780","https://openalex.org/W2052232639","https://openalex.org/W2060029003","https://openalex.org/W2106869653","https://openalex.org/W2110659432","https://openalex.org/W2133295327","https://openalex.org/W2220411933","https://openalex.org/W2912565176","https://openalex.org/W2914205603","https://openalex.org/W2964184955","https://openalex.org/W2995989488","https://openalex.org/W3117201727"],"related_works":["https://openalex.org/W1548365413","https://openalex.org/W2060029003","https://openalex.org/W2088020405","https://openalex.org/W2088271536","https://openalex.org/W1968783356","https://openalex.org/W1497796273","https://openalex.org/W2383159917","https://openalex.org/W1656385490","https://openalex.org/W2349744706"],"abstract_inverted_index":{"The":[0],"aim":[1],"of":[2,10,26,36],"this":[3],"paper":[4],"is":[5],"to":[6,21,30],"introduce":[7],"the":[8,23,41],"notion":[9],"fuzzy":[11,14,24,45,48],"homomorphism":[12,46],"and":[13,20,39,47],"isomorphism":[15],"between":[16],"two":[17],"n-ary":[18,31],"hypergroups":[19],"extend":[22],"results":[25],"fundamental":[27],"equivalence":[28],"relations":[29],"hypergroups.":[32],"We":[33],"study":[34],"some":[35],"their":[37],"properties":[38],"prove":[40],"decomposition":[42],"theorems":[43],"for":[44],"isomorphism.":[49]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}