An introduction to fuzzy soft topological spaces

Abdulkadir Aygünoğlu; Vildan Çetkin; Halis Aygun

Research Article

An introduction to fuzzy soft topological spaces

Year 2014, Volume: 43 Issue: 2, 197 - 208, 01.04.2014

Abdulkadir Aygünoğlu Vildan Çetkin Halis Aygun

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

fuzzy soft set, fuzzy soft topology, fuzzy soft base, initial fuzzy soft topology, product fuzzy soft topology

References

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Year 2014, Volume: 43 Issue: 2, 197 - 208, 01.04.2014

Abdulkadir Aygünoğlu Vildan Çetkin Halis Aygun

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Journal Section	Mathematics
Authors	Abdulkadir Aygünoğlu This is me Vildan Çetkin Halis Aygun
Publication Date	April 1, 2014
Published in Issue	Year 2014 Volume: 43 Issue: 2

Cite

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.
AMA	Aygünoğlu A, Çetkin V, Aygun H. An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics. April 2014;43(2):197-208.
Chicago	Aygünoğlu, Abdulkadir, Vildan Çetkin, and Halis Aygun. “An Introduction to Fuzzy Soft Topological Spaces”. Hacettepe Journal of Mathematics and Statistics 43, no. 2 (April 2014): 197-208.
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	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, 2014.
ISNAD	Aygünoğlu, Abdulkadir et al. “An Introduction to Fuzzy Soft Topological Spaces”. Hacettepe Journal of Mathematics and Statistics 43/2 (April 2014), 197-208.
JAMA	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, 2014, pp. 197-08.
Vancouver	Aygünoğlu A, Çetkin V, Aygun H. An introduction to fuzzy soft topological spaces. Hacettepe Journal of Mathematics and Statistics. 2014;43(2):197-208.