Approximations in a hyperlattice by using set-valued homomorphisms

Ş. Yılmaz; O. Kazancı

Research Article

Approximations in a hyperlattice by using set-valued homomorphisms

Year 2016, Volume: 45 Issue: 6, 1755 - 1766, 01.12.2016

Ş. Yılmaz O. Kazancı

Abstract

In this paper, the concepts of set-valued homomorphism and strong setvalued homomorphism of a hyperlattice are introduced. The notions
of generalized lower and upper approximation operators constructed
by means of a set-valued mapping are provided. We also propose the
notions of generalized lower and upper approximations with respect to
a hyperideal of a hyperlattice which is an extended notion of rough
hyperideal in a hyperlattice and discuss some significiant properties of
them.

Keywords

Hyperlattice, Hypercongruence, Approximation space, Rough set, Lower and upper approximations, Set-valued mapping

References

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Year 2016, Volume: 45 Issue: 6, 1755 - 1766, 01.12.2016

Ş. Yılmaz O. Kazancı

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Ş. Yılmaz O. Kazancı
Publication Date	December 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 6

Cite

APA	Yılmaz, Ş., & Kazancı, O. (2016). Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics, 45(6), 1755-1766.
AMA	Yılmaz Ş, Kazancı O. Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics. December 2016;45(6):1755-1766.
Chicago	Yılmaz, Ş., and O. Kazancı. “Approximations in a Hyperlattice by Using Set-Valued Homomorphisms”. Hacettepe Journal of Mathematics and Statistics 45, no. 6 (December 2016): 1755-66.
EndNote	Yılmaz Ş, Kazancı O (December 1, 2016) Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics 45 6 1755–1766.
IEEE	Ş. Yılmaz and O. Kazancı, “Approximations in a hyperlattice by using set-valued homomorphisms”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, pp. 1755–1766, 2016.
ISNAD	Yılmaz, Ş. - Kazancı, O. “Approximations in a Hyperlattice by Using Set-Valued Homomorphisms”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 2016), 1755-1766.
JAMA	Yılmaz Ş, Kazancı O. Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics. 2016;45:1755–1766.
MLA	Yılmaz, Ş. and O. Kazancı. “Approximations in a Hyperlattice by Using Set-Valued Homomorphisms”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, 2016, pp. 1755-66.
Vancouver	Yılmaz Ş, Kazancı O. Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1755-66.