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On Fuzzy Length Spaces and Fuzzy Geodesics
( Vol-4,Issue-12,December 2017 )
Author(s):

Ugur Gozutok, Yasemin Sagiroglu

Keywords:

Fuzzy sets, Fuzzy length spaces, Fuzzy geodesics, Fuzzy metric spaces.

Abstract:

In this paper, the notion of a fuzzy length space is introduced, and the definition of a fuzzy geodesic in a fuzzy metric space is given. Some properties of these new concepts are studied and the relation between them is revealed.

ijaers doi crossref DOI:

10.22161/ijaers.4.12.29

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  • Page No: 200-202
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References:

[1] L.A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-358.
[2] J. G. Garcia, et al., The wijsman topology of a fuzzy metric space, Fuzzy Sets and Systems, 300 (2016) 57-71.
[3] O. Kaleva, J. Kauhanen, A note on compactness in a fuzzy metric space, Fuzzy Sets and Systems, 238 (2014) 135-139.
[4] D. Mihet, A note on fuzzy contractive mappings in fuzzy metric spaces, Fuzzy Sets and Systems, 251 (2014) 83-91.
[5] L. Ricarte, S. Romaguera, A domain-theoretic approach to fuzzy metric spaces, Topology and its Applications, 163 (2014) 149-159.
[6] M. Benoumhani, A. Jaballah, Finite fuzzy topological spaces, Fuzzy Sets and Systems, 321 (2017) 101-114.
[7] S. Chen, P. Shi, C. Lim, Curve arclength in fuzzy metric spaces, Fuzzy Sets and Systems 313 (2017) 105,113.
[8] D. Burago, Y. Burago, S. Inanov, A Course In Metric Geometry, Amer. Math. Soc., Providence, 2001.
[9] A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems 64 (1994) 395-399.