States and Measures on Hyper BCK-Algebras
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-compatib...
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Main Authors: | Xiao-Long Xin, Pu Wang |
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Format: | Article |
Language: | English |
Published: |
Wiley
2014-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2014/397265 |
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