Research Article

Approximations in a hyperlattice by using set-valued homomorphisms

Volume: 45 Number: 6 December 1, 2016
  • Ş. Yılmaz *
  • O. Kazancı
EN

Approximations in a hyperlattice by using set-valued homomorphisms

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

References

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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

Submission Date

November 16, 2015

Acceptance Date

January 25, 2016

Published in Issue

Year 2016 Volume: 45 Number: 6

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.Ş. Yılmaz, O. Kazancı. 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