On fuzzy soft metric spaces

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DOI:

https://doi.org/10.26637/mjm203/003

Abstract

In this paper an idea of fuzzy soft point is introduced and using it fuzzy soft metric space is established. The concepts like fuzzy soft open balls and fuzzy soft closed balls are introduced. Some properties of fuzzy soft metric spaces are developed.

Keywords:

Fuzzy set, fuzzy metric space

Mathematics Subject Classification:

03E72
  • Pages: 197-202
  • Date Published: 01-07-2014
  • Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

U. Acar, F. Koyuncu and B. Tanay, Soft sets and soft rings, Comput. Math. Appl., 59(2010), 3458-3463. DOI: https://doi.org/10.1016/j.camwa.2010.03.034

H. Aktas and N. Cagman, Soft sets and soft groups, Inform. Sci., 177(2007), 2726-2735. DOI: https://doi.org/10.1016/j.ins.2006.12.008

A. Ayglu and H. Aygn, Introduction to fuzzy soft groups, Comput. Math. Appl., 58 (2009), 1279-1286. DOI: https://doi.org/10.1016/j.camwa.2009.07.047

C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 191-201. DOI: https://doi.org/10.1016/0022-247X(68)90057-7

J. Ghosh, B. Dinda and T. K. Samanta, Fuzzy soft rings and fuzzy soft ideals, Int. J. Pure Appl. Sci. Technol., 2(2)(2011), 66-74.

P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl., 44(8-9)(2002), 1077-1083. DOI: https://doi.org/10.1016/S0898-1221(02)00216-X

W. K. Min, A note on soft topological spaces, Comput. Math. Appl., 62(2011), 3524-3528. DOI: https://doi.org/10.1016/j.camwa.2011.08.068

D. Molodtsov, Soft set theory First results, Comput. Math. Appl., 37(4/5) (1999), 19-31. DOI: https://doi.org/10.1016/S0898-1221(99)00056-5

BekirTanayandM.BurcKandemir, Topologicalstructureoffuzzysoftsets, Comput.Math.Appl., 61(2011), 2952-2957. DOI: https://doi.org/10.1016/j.camwa.2011.03.056

S. Roy and T. K. Samanta, A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3(2)(2012), 305-311.

C. K. Wong, Covering properties of fuzzy topological spaces, J. Math. Anal. Appl., 43 (1973), 697-704. DOI: https://doi.org/10.1016/0022-247X(73)90285-0

L. A. Zadeh, Fuzzy sets, Information and Control, 8(1965), 338-353. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X

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Published

01-07-2014

How to Cite

Thangaraj Beaula, and Christinal Gunaseeli. “On Fuzzy Soft Metric Spaces”. Malaya Journal of Matematik, vol. 2, no. 03, July 2014, pp. 197-02, doi:10.26637/mjm203/003.

Issue

Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

Section

Articles

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Copyright (c) 2014 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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