Research Article

Approximately Groups in Proximal Relator Spaces

Volume: 68 Number: 1 February 1, 2019
EN

Approximately Groups in Proximal Relator Spaces

Abstract

The focus of this article is on defining descriptive approximations of sets or algebraic structures in proximal relator spaces. By way of a practical application, descriptive approximately algebraic structures such as groupoids, semigroups and groups in digital images endowed with descriptive Efremovic proximity relations are introduced.

Keywords

References

  1. Clifford, A. H. and Preston, G. B., The Algebraic Theory of Semigroups, American Mathematical Society, Providence, R.I., 1961, xv+224pp.
  2. Efremovic, V. A., Infinitesimal spaces (in Russian), Doklady Akad. Nauk SSSR (N.S.), 76 (1951), 341-343.
  3. Efremovic, V. A., The geometry of proximity I (in Russian), Mat. Sb. (N.S.) 31 (73) (1952), no. 1, 189-200.
  4. Henry, C. J. and Smith, G., Proximity system: A description-based system for quantifying the nearness or apartness of visual rough sets, Transactions on Rough Sets XVII. 8375 (2014), 48-73.
  5. İnan, E. and Öztürk, M. A., Near groups on nearness approximation spaces, Hacet. J. Math. Stat. 41 (2012), no. 4, 545-558.
  6. İnan, E. and Öztürk, M. A., Erratum and notes for near groups on nearness approximation spaces, Hacet. J. Math. Stat. 43 (2014), no. 2, 279-281.
  7. İnan, E., Approximately semigroups and ideals: an algebraic view of digital images, Afyon Kocatepe University Journal of Science and Engineering, 17 (2017) 479-487.
  8. Kovár, M. M., A new causal topology and why the universe is co-compact, arXive:1112.0817[math-ph] (2011) 1-15 arXiv:1112.0817.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

November 16, 2017

Acceptance Date

February 28, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
İnan, E. (2019). Approximately Groups in Proximal Relator Spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 572-582. https://doi.org/10.31801/cfsuasmas.438380
AMA
1.İnan E. Approximately Groups in Proximal Relator Spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):572-582. doi:10.31801/cfsuasmas.438380
Chicago
İnan, Ebubekir. 2019. “Approximately Groups in Proximal Relator Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 572-82. https://doi.org/10.31801/cfsuasmas.438380.
EndNote
İnan E (February 1, 2019) Approximately Groups in Proximal Relator Spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 572–582.
IEEE
[1]E. İnan, “Approximately Groups in Proximal Relator Spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 572–582, Feb. 2019, doi: 10.31801/cfsuasmas.438380.
ISNAD
İnan, Ebubekir. “Approximately Groups in Proximal Relator Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 572-582. https://doi.org/10.31801/cfsuasmas.438380.
JAMA
1.İnan E. Approximately Groups in Proximal Relator Spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:572–582.
MLA
İnan, Ebubekir. “Approximately Groups in Proximal Relator Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 572-8, doi:10.31801/cfsuasmas.438380.
Vancouver
1.Ebubekir İnan. Approximately Groups in Proximal Relator Spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):572-8. doi:10.31801/cfsuasmas.438380

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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