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Year 2023, Volume: 11 Issue: 1, 90 - 96, 30.04.2023

Abstract

References

  • [1] K. Atanassov, New operators defined over the intuitionistic fuzzy sets, Fuzzy Sets and Sysetms, 61, No. 2 (1993), 137-142.
  • [2] C. L. Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Applications, 24, No. 1 (1968), 182-190.
  • [3] D. Coker, An introduction to fuzzy subspaces in intuitionistic topological spaces, J. Fuzzy Math., 4 (1996), 749-764.
  • [4] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, No. 1 (1997), 81-89.
  • [5] M. Demirci, D. Coker, An introduction to intuitionistic fuzzytopological spaces in Sostak’s sense, Busefal 67 (1996), 67-76.
  • [6] Fatimah. M. Mohammed, M. S. M. Noorani and A. Ghareeb, Generalized b-closed sets and b-open sets in double fuzzy topological spaces, AIP Conference Proceedings, 1602, (2015), 909-917.
  • [7] J. Gutierrez Garcia and S. E. Rodabaugh, Order-theoretic, topological, categorical re-dundancies of interval-valued sets, grey sets, vague sets, interval-valued; intuitionistic sets, intuitionistic fuzzy sets and topologies, Fuzzy Sets and Systems, 156, No. 3 (2005),445-484.
  • [8] E. P. Lee and Y. B. Im., Mated fuzzy topological spaces, Journal of fuzzy logic and intelligent systems, 11 (2001), 161-165.
  • [9] S. K. Samanta and T. K. Mondal, On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131, No. 3 (2002), 323-336.
  • [10] L. A. Zadeh, Fuzzy sets, Information and Control, 8, No. 3 (1965), 338-353.

Properties of Double Fuzzy $b$-Open Sets

Year 2023, Volume: 11 Issue: 1, 90 - 96, 30.04.2023

Abstract

In this paper, we introduce and study the concept of $(r, s)$-fuzzy $b$-border, $(r, s)$-fuzzy $b$-exterior and $(r, s)$-fuzzy $b$-frontier. Some of its interesting properties and characterizations are examined.

References

  • [1] K. Atanassov, New operators defined over the intuitionistic fuzzy sets, Fuzzy Sets and Sysetms, 61, No. 2 (1993), 137-142.
  • [2] C. L. Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Applications, 24, No. 1 (1968), 182-190.
  • [3] D. Coker, An introduction to fuzzy subspaces in intuitionistic topological spaces, J. Fuzzy Math., 4 (1996), 749-764.
  • [4] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, No. 1 (1997), 81-89.
  • [5] M. Demirci, D. Coker, An introduction to intuitionistic fuzzytopological spaces in Sostak’s sense, Busefal 67 (1996), 67-76.
  • [6] Fatimah. M. Mohammed, M. S. M. Noorani and A. Ghareeb, Generalized b-closed sets and b-open sets in double fuzzy topological spaces, AIP Conference Proceedings, 1602, (2015), 909-917.
  • [7] J. Gutierrez Garcia and S. E. Rodabaugh, Order-theoretic, topological, categorical re-dundancies of interval-valued sets, grey sets, vague sets, interval-valued; intuitionistic sets, intuitionistic fuzzy sets and topologies, Fuzzy Sets and Systems, 156, No. 3 (2005),445-484.
  • [8] E. P. Lee and Y. B. Im., Mated fuzzy topological spaces, Journal of fuzzy logic and intelligent systems, 11 (2001), 161-165.
  • [9] S. K. Samanta and T. K. Mondal, On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131, No. 3 (2002), 323-336.
  • [10] L. A. Zadeh, Fuzzy sets, Information and Control, 8, No. 3 (1965), 338-353.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

J Prıncıvıshvamalar

N. Rajesh

B Brundha

Publication Date April 30, 2023
Submission Date March 23, 2022
Acceptance Date December 23, 2022
Published in Issue Year 2023 Volume: 11 Issue: 1

Cite

APA Prıncıvıshvamalar, J., Rajesh, N., & Brundha, B. (2023). Properties of Double Fuzzy $b$-Open Sets. Konuralp Journal of Mathematics, 11(1), 90-96.
AMA Prıncıvıshvamalar J, Rajesh N, Brundha B. Properties of Double Fuzzy $b$-Open Sets. Konuralp J. Math. April 2023;11(1):90-96.
Chicago Prıncıvıshvamalar, J, N. Rajesh, and B Brundha. “Properties of Double Fuzzy $b$-Open Sets”. Konuralp Journal of Mathematics 11, no. 1 (April 2023): 90-96.
EndNote Prıncıvıshvamalar J, Rajesh N, Brundha B (April 1, 2023) Properties of Double Fuzzy $b$-Open Sets. Konuralp Journal of Mathematics 11 1 90–96.
IEEE J. Prıncıvıshvamalar, N. Rajesh, and B. Brundha, “Properties of Double Fuzzy $b$-Open Sets”, Konuralp J. Math., vol. 11, no. 1, pp. 90–96, 2023.
ISNAD Prıncıvıshvamalar, J et al. “Properties of Double Fuzzy $b$-Open Sets”. Konuralp Journal of Mathematics 11/1 (April 2023), 90-96.
JAMA Prıncıvıshvamalar J, Rajesh N, Brundha B. Properties of Double Fuzzy $b$-Open Sets. Konuralp J. Math. 2023;11:90–96.
MLA Prıncıvıshvamalar, J et al. “Properties of Double Fuzzy $b$-Open Sets”. Konuralp Journal of Mathematics, vol. 11, no. 1, 2023, pp. 90-96.
Vancouver Prıncıvıshvamalar J, Rajesh N, Brundha B. Properties of Double Fuzzy $b$-Open Sets. Konuralp J. Math. 2023;11(1):90-6.
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