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

https://izlik.org/JA36EC56SS

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

https://izlik.org/JA36EC56SS

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Ş. Yılmaz This is me O. Kazancı This is me
Publication Date	December 1, 2016
IZ	https://izlik.org/JA36EC56SS
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. https://izlik.org/JA36EC56SS
AMA	1.Yılmaz Ş, Kazancı O. Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1755-1766. https://izlik.org/JA36EC56SS
Chicago	Yılmaz, Ş., and O. Kazancı. 2016. “Approximations in a Hyperlattice by Using Set-Valued Homomorphisms”. Hacettepe Journal of Mathematics and Statistics 45 (6): 1755-66. https://izlik.org/JA36EC56SS.
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	[1]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, Dec. 2016, [Online]. Available: https://izlik.org/JA36EC56SS
ISNAD	Yılmaz, Ş. - Kazancı, O. “Approximations in a Hyperlattice by Using Set-Valued Homomorphisms”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 1, 2016): 1755-1766. https://izlik.org/JA36EC56SS.
JAMA	1.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, Dec. 2016, pp. 1755-66, https://izlik.org/JA36EC56SS.
Vancouver	1.Yılmaz Ş, Kazancı O. Approximations in a hyperlattice by using set-valued homomorphisms. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Dec. 1;45(6):1755-66. Available from: https://izlik.org/JA36EC56SS