States and Measures on Hyper BCK-Algebras
States and Measures on Hyper BCK-Algebras
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Cairo, Egypt: Hindawi Limiteds
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English
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Cairo, Egypt: Hindawi Limiteds
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We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra (H,∘,0,e) and derive some basic properties of them. We construct a quotient hyper BCK-algebra via a regular congruence relation. We also define a ∘-compatibled regular congruence relation θ and a θ-compatibled inf-Bosbach state s on (H,∘,0,e). By inducing...
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States and Measures on Hyper BCK-Algebras
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TN_cdi_doaj_primary_oai_doaj_org_article_12d27cee8d7b4e588f21a912efb0f497
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_12d27cee8d7b4e588f21a912efb0f497
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ISSN
1110-757X
E-ISSN
1687-0042
DOI
10.1155/2014/397265