Research Article

(r,s)-Convergent Nets

Volume: 41 Number: 2 February 1, 2012
  • H. Aygün
  • S.e. Abbas
EN TR

(r,s)-Convergent Nets

Abstract

We introduce the notions of (r, s)-adherent point, (r, s)-accumulation point, (r, s)-cluster point, (r, s)-limit point and (r, s)-derived set in an intuitionistic fuzzy topological spaces and investigate some of their properties. Also, we define (r, s)-convergent nets and investigate some of their properties.

Keywords

References

  1. Abbas, S. E. and Ayg¨un, H. Intuitionistic fuzzy semiregularization spaces, Information Sci- ences 176, 745–757,2006.
  2. Atanassov, K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1), 87–96, 1986.
  3. Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182–190, 1968.
  4. Chattopadhyay, K. C., Hazra, R. N. and Samanta, S. K. Gradation of openness: fuzzy topol- ogy, Fuzzy Sets and Systems 49, 237–242, 1992.
  5. Chen, S. L. and Cheng, J. S. On convergence of nets of L-fuzzy sets, J. Fuzzy Math. 2, 517– 524, 1994.
  6. Chen, S. L. and Cheng, J. S. Semi-continuous and irresolute order-homeomorphisms on fuzzes, Fuzzy Sets and Systems 64, 105–112, 1994.
  7. Chen, S. L. and Cheng, J. S. θ-convergence of nets of L-fuzzy sets and its applications, Fuzzy Sets and Systems 86, 235–240, 1997.
  8. C¸ oker, D. An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88, 81–89, 1997.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

H. Aygün This is me

S.e. Abbas This is me

Publication Date

February 1, 2012

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2012 Volume: 41 Number: 2

APA
Aygün, H., & Abbas, S. (2012). (r,s)-Convergent Nets. Hacettepe Journal of Mathematics and Statistics, 41(2), 175-190. https://izlik.org/JA66XX37SU
AMA
1.Aygün H, Abbas S. (r,s)-Convergent Nets. Hacettepe Journal of Mathematics and Statistics. 2012;41(2):175-190. https://izlik.org/JA66XX37SU
Chicago
Aygün, H., and S.e. Abbas. 2012. “(r,s)-Convergent Nets”. Hacettepe Journal of Mathematics and Statistics 41 (2): 175-90. https://izlik.org/JA66XX37SU.
EndNote
Aygün H, Abbas S (February 1, 2012) (r,s)-Convergent Nets. Hacettepe Journal of Mathematics and Statistics 41 2 175–190.
IEEE
[1]H. Aygün and S. Abbas, “(r,s)-Convergent Nets”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 2, pp. 175–190, Feb. 2012, [Online]. Available: https://izlik.org/JA66XX37SU
ISNAD
Aygün, H. - Abbas, S.e. “(r,s)-Convergent Nets”. Hacettepe Journal of Mathematics and Statistics 41/2 (February 1, 2012): 175-190. https://izlik.org/JA66XX37SU.
JAMA
1.Aygün H, Abbas S. (r,s)-Convergent Nets. Hacettepe Journal of Mathematics and Statistics. 2012;41:175–190.
MLA
Aygün, H., and S.e. Abbas. “(r,s)-Convergent Nets”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 2, Feb. 2012, pp. 175-90, https://izlik.org/JA66XX37SU.
Vancouver
1.H. Aygün, S.e. Abbas. (r,s)-Convergent Nets. Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 Feb. 1;41(2):175-90. Available from: https://izlik.org/JA66XX37SU