EN
Texture spaces with ideal
Abstract
In this paper, the authors define the notion of ideal on texture
spaces. The concept of di-local function is also introduced here by
utilizing the families of neighborhood structure for a ditopological
texture space. These concepts are discussed with a view to finding
new ditopological texture spaces from the original one. Finally, we
introduce and give some properties of weakly bicontinuous
difunction, a subclass of bicontinuous difunction.
spaces. The concept of di-local function is also introduced here by
utilizing the families of neighborhood structure for a ditopological
texture space. These concepts are discussed with a view to finding
new ditopological texture spaces from the original one. Finally, we
introduce and give some properties of weakly bicontinuous
difunction, a subclass of bicontinuous difunction.
Keywords
References
- Açikgöz, A., Noiri, T. and Yüksel, Ş., A Decomposition of Continuity in Ideal Topological Spaces, Acta Math. Hungar., 105, No. 4 (2004) 285-289.
- Aslim, G., Caksu Güler, A. and Noiri, T., On decompositions of continuity and some weaker forms of continuity via idealization, Acta Math. Hungar., 109, No. 3 (2005) 183--190.
- Brown, L. M. and Ertürk, R., Fuzzy Sets as Texture Spaces, I. Representation Theorems, Fuzzy Sets and Systems, 110, No. 2 (2000) 227--236.
- Brown, L. M. and Diker, M., Ditopological texture spaces and intuitionistic sets, Fuzzy Sets and Systems, 98 (1998) 217--224.
- Brown, L. M., Ertürk, R. and Dost, Ş., Ditopological texture spaces and fuzzy topology, I. Basic Concepts, Fuzzy Sets and Systems 147, No. 2 (2004) 171--199.
- Brown, L. M., Ertürk, R. and Dost, Ş., Ditopological texture spaces and fuzzy topology, II. Topological Considerations, Fuzzy Sets and Systems 147, No. 2 (2004) 201--231.
- Brown, L. M., Ertürk, R. and Dost, Ş., Ditopological texture spaces and fuzzy topology, III. Separation Axioms, Fuzzy Sets and Systems 157, No. 14 (2006) 1886--1912.
- Diker, M., Textural approach to rough sets based on relations, Inf. Sci. 180, No. 8 (2010) 1418--1433 .
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
August 1, 2019
Submission Date
April 17, 2018
Acceptance Date
November 12, 2018
Published in Issue
Year 2019 Volume: 68 Number: 2
APA
Kule, M., & Dost, Ş. (2019). Texture spaces with ideal. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1596-1610. https://doi.org/10.31801/cfsuasmas.416238
AMA
1.Kule M, Dost Ş. Texture spaces with ideal. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1596-1610. doi:10.31801/cfsuasmas.416238
Chicago
Kule, Memet, and Şenol Dost. 2019. “Texture Spaces With Ideal”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1596-1610. https://doi.org/10.31801/cfsuasmas.416238.
EndNote
Kule M, Dost Ş (August 1, 2019) Texture spaces with ideal. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1596–1610.
IEEE
[1]M. Kule and Ş. Dost, “Texture spaces with ideal”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1596–1610, Aug. 2019, doi: 10.31801/cfsuasmas.416238.
ISNAD
Kule, Memet - Dost, Şenol. “Texture Spaces With Ideal”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1596-1610. https://doi.org/10.31801/cfsuasmas.416238.
JAMA
1.Kule M, Dost Ş. Texture spaces with ideal. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1596–1610.
MLA
Kule, Memet, and Şenol Dost. “Texture Spaces With Ideal”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1596-10, doi:10.31801/cfsuasmas.416238.
Vancouver
1.Memet Kule, Şenol Dost. Texture spaces with ideal. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1596-610. doi:10.31801/cfsuasmas.416238
Cited By
New types of connectedness and intermediate value theorem in ideal topological spaces
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https://doi.org/10.31801/cfsuasmas.1075157
