INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA

Volume: 30 Number: 1 March 14, 2017
  • Ebru Yiğit
  • Hakan Efe
EN

INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA

Abstract

In this paper we give some examples of intuitionistic fuzzy metrics in the sense of Park [17]. All the examples have been classified with respect to their construction. At the same time, most of the well-known intuitionistic fuzzy metrics are given in this paper. Also, some important intuitionistic fuzzy metrics, by the help of classical metrics and some definite special kinds of functions are shown.

Keywords

References

  1. C. Alaca, D. Turkoglu, C. Yildiz,Common fixed points of compatible maps in intuitionistic fuzzy metric spaces, Southeast Asian Bull. Math., 32, (2008), 21-33.
  2. C. Alaca, D. Turkoglu, C. Yildiz, Fixed points in intuitionistic fuzzy metric spaces, Chaos, Solitons& Fractals, 29(5), (2006), 1073-1078.
  3. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), (1986), 87-96.
  4. Z. Deng, Fuzzy pseudo-metric spaces, Journal of Mathematical Analysis and Applications, 86(1), (1982), 74-95.
  5. H. Efe, C. Yildiz, On the Hausdorff intuitionistic fuzzy metric on compact sets, International Journal of Pure and Applied Mathematics, 31(2), (2006), 143-155.
  6. H. Efe, E. Yiğit, On strong intuitionistic fuzzy metrics, J. Nonlinear Sci. Appl., 9(2016), 4016-4038.
  7. M. A. Erceg, Metric spaces in fuzzy set theory, Journal of Mathematical Analysis and Applications, 69(1), (1979), 205-230.
  8. A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64(3), (1994), 395-399.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Ebru Yiğit This is me

Hakan Efe This is me

Publication Date

March 14, 2017

Submission Date

December 8, 2016

Acceptance Date

-

Published in Issue

Year 2017 Volume: 30 Number: 1

APA
Yiğit, E., & Efe, H. (2017). INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA. Gazi University Journal of Science, 30(1), 413-429. https://izlik.org/JA64RR72PN
AMA
1.Yiğit E, Efe H. INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA. Gazi University Journal of Science. 2017;30(1):413-429. https://izlik.org/JA64RR72PN
Chicago
Yiğit, Ebru, and Hakan Efe. 2017. “INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA”. Gazi University Journal of Science 30 (1): 413-29. https://izlik.org/JA64RR72PN.
EndNote
Yiğit E, Efe H (March 1, 2017) INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA. Gazi University Journal of Science 30 1 413–429.
IEEE
[1]E. Yiğit and H. Efe, “INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA”, Gazi University Journal of Science, vol. 30, no. 1, pp. 413–429, Mar. 2017, [Online]. Available: https://izlik.org/JA64RR72PN
ISNAD
Yiğit, Ebru - Efe, Hakan. “INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA”. Gazi University Journal of Science 30/1 (March 1, 2017): 413-429. https://izlik.org/JA64RR72PN.
JAMA
1.Yiğit E, Efe H. INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA. Gazi University Journal of Science. 2017;30:413–429.
MLA
Yiğit, Ebru, and Hakan Efe. “INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA”. Gazi University Journal of Science, vol. 30, no. 1, Mar. 2017, pp. 413-29, https://izlik.org/JA64RR72PN.
Vancouver
1.Ebru Yiğit, Hakan Efe. INTUITIONISTIC FUZZY METRICS DEDUCED BY COMBINATION OF SEVERAL DISTANCE CRITERIA. Gazi University Journal of Science [Internet]. 2017 Mar. 1;30(1):413-29. Available from: https://izlik.org/JA64RR72PN