TY  - JOUR
T1  - Approximations in a hyperlattice by using set-valued homomorphisms
AU  - Yılmaz, Ş.
AU  - Kazancı, O.
PY  - 2016
DA  - December
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1755
EP  - 1766
VL  - 45
IS  - 6
LA  - en
AB  - In this paper, the concepts of set-valued homomorphism and strong setvalued homomorphism of a hyperlattice are introduced. The notionsof generalized lower and upper approximation operators constructedby means of a set-valued mapping are provided. We also propose thenotions of generalized lower and upper approximations with respect toa hyperideal of a hyperlattice which is an extended notion of roughhyperideal in a hyperlattice and discuss some significiant properties ofthem. 
KW  - Hyperlattice
KW  - Hypercongruence
KW  - Approximation space
KW  - Rough set
KW  - Lower and upper approximations
KW  - Set-valued mapping
CR  - .
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UR  - https://dergipark.org.tr/en/pub/hujms/article/524372
L1  - https://dergipark.org.tr/en/download/article-file/644753
ER  -