KRITERIA KEKONVERGENAN CAUCHY PADA RUANG METRIK KABUR INTUITIONISTIC

Muhammad Ahsar Karim; Faisal Faisal; Yuni Yulida

doi:10.20527/epsilon.v6i1.78

KRITERIA KEKONVERGENAN CAUCHY PADA RUANG METRIK KABUR INTUITIONISTIC

Muhammad Ahsar Karim, Faisal Faisal, Yuni Yulida

Abstract

In this paper, we construct the Cauchy-convergence criterion in intuitionistic fuzzy metric
space. We start our aim by given the definition of concepts convergence sequence, Cauchy
sequence, and complete on intuitionistic fuzzy metric space.

Keywords

intuitionistic fuzzy metric space, I-convergence, I-Cauchy sequence, I-complete, and Cauchy-convergence criterion

Full Text:

PDF

References

Alaca, C., Altun, I., & Turkoglu, D., On Compatible Mappings of Type (I) and (II) in Intuitionistic Fuzzy Metric Spaces, Commun. Korean Math. Soc., 23 (2008), No. 3, pp. 427–446

Bruckner, A. M, Bruckner, J. B, & Thomson, B. S., Real Analysis, Prentice-Hall, New Jersey, 1997.

Efe, H., Round Fuzzy Metric Spaces, International Mathematical Forum, Vol. 2, No. 35, pp. 1717-1721, 2007.

George, A. dan Veeramani, P., On Some Result of Analysis for Fuzzy Metric Spaces, Fuzzy Sets and Systems, Elsevier, 90 (1997), 365-368, 1997.

Karim, M. A. & Yulida, Y., Teorema Titik Tetap Banach pada Ruang Metrik

Kabur, Jurnal Al-Jabar (Jurnal Matematika Murni dan Terapan), Lampung,

Vol. 1. No. 1, hal 10-18, 2010.

Muralisankar, S. & Kalpana, G., Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using General Contractive Condition of Integral Type, Int. J. Contemp. Math. Sciences, Vol. 4, 2009, no. 11, 505 - 518

Royden, H. L., Real Analysis, Macmillan Publishing Company, New York, 1989.

Zadeh, L. A., Fuzzy Sets*, Information and Control, Vol. 8, pp. 338-353, 1965.

DOI: https://doi.org/10.20527/epsilon.v6i1.78