EN
An introduction to fuzzy soft topological spaces
Abstract
The aim of this study is to define fuzzy soft topology which will be
compatible to the fuzzy soft theory and investigate some of its fundamental properties. Firstly, we recall some basic properties of fuzzy soft
sets and then we give the definitions of cartesian product of two fuzzy
soft sets and projection mappings. Secondly, we introduce fuzzy soft
topology and fuzzy soft continuous mapping. Moreover, we induce a
fuzzy soft topology after given the definition of a fuzzy soft base. Also,
we obtain an initial fuzzy soft topology and give the definition of product fuzzy soft topology. Finally, we prove that the category of fuzzy
soft topological spaces FSTOP is a topological category over SET.
Keywords
References
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Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
April 1, 2014
Submission Date
January 1, 2014
Acceptance Date
-
Published in Issue
Year 2014 Volume: 43 Number: 2
APA
Aygünoğlu, A., Çetkin, V., & Aygun, H. (2014). An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics, 43(2), 197-208. https://izlik.org/JA55BD53ZS
AMA
1.Aygünoğlu A, Çetkin V, Aygun H. An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics. 2014;43(2):197-208. https://izlik.org/JA55BD53ZS
Chicago
Aygünoğlu, Abdulkadir, Vildan Çetkin, and Halis Aygun. 2014. “An Introduction to Fuzzy Soft Topological Spaces”. Hacettepe Journal of Mathematics and Statistics 43 (2): 197-208. https://izlik.org/JA55BD53ZS.
EndNote
Aygünoğlu A, Çetkin V, Aygun H (April 1, 2014) An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics 43 2 197–208.
IEEE
[1]A. Aygünoğlu, V. Çetkin, and H. Aygun, “An introduction to fuzzy soft topological spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 2, pp. 197–208, Apr. 2014, [Online]. Available: https://izlik.org/JA55BD53ZS
ISNAD
Aygünoğlu, Abdulkadir - Çetkin, Vildan - Aygun, Halis. “An Introduction to Fuzzy Soft Topological Spaces”. Hacettepe Journal of Mathematics and Statistics 43/2 (April 1, 2014): 197-208. https://izlik.org/JA55BD53ZS.
JAMA
1.Aygünoğlu A, Çetkin V, Aygun H. An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics. 2014;43:197–208.
MLA
Aygünoğlu, Abdulkadir, et al. “An Introduction to Fuzzy Soft Topological Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 2, Apr. 2014, pp. 197-08, https://izlik.org/JA55BD53ZS.
Vancouver
1.Abdulkadir Aygünoğlu, Vildan Çetkin, Halis Aygun. An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Apr. 1;43(2):197-208. Available from: https://izlik.org/JA55BD53ZS