Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
권호 표지
DOI QR코드

DOI QR Code

INTERVAL-VALUED INTUITIONISTIC GRADATION OF OPENNESS

  • Park, Chun-Kee (Department of Mathematics Kangwon National University)
  • Received : 2015.10.21
  • Accepted : 2016.01.25
  • Published : 2016.03.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the concepts of interval-valued intuitionistic gradation of openness of fuzzy sets which is a generalization of intuitionistic gradation of openness of fuzzy sets and interval-valued intuitionistic gradation preserving mapping and then investigate their properties.

Keywords

References

  1. A. S. Abu Safiya, A. A. Fora and M. W. Warner, Higher separation axioms in byfuzzy topological spaces, Fuzzy Sets and Systems 79 (1996), 367-372. https://doi.org/10.1016/0165-0114(94)00093-X
  2. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986), 87-96. https://doi.org/10.1016/S0165-0114(86)80034-3
  3. K. Atanassov and G. Gargov, Interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 31 (3) (1989), 343-349. https://doi.org/10.1016/0165-0114(89)90205-4
  4. R. Badard, Smooth axiomatics, First IFSA Congress, Palma de Mallorca (July 1986).
  5. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  6. K. C. Chattopadhyay, R. N. Hazra and S. K. Samanta, Gradation of openness:fuzzy topology, Fuzzy Sets and Systems 49 (1992), 237-242. https://doi.org/10.1016/0165-0114(92)90329-3
  7. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89. https://doi.org/10.1016/S0165-0114(96)00076-0
  8. R. N. Hazra, S. K. Samanta and K. C. Chattopadhyay, Fuzzy topology redefined, Fuzzy Sets and Systems 45 (1992), 79-82. https://doi.org/10.1016/0165-0114(92)90093-J
  9. T. K. Mondal and S. K. Samata, On intuitionistic gradation of openness, Fuzzy Sets and Systems 131 (2002), 323-336. https://doi.org/10.1016/S0165-0114(01)00235-4
  10. T. K. Mondal and S. K. Samata, Topology of interval-valued fuzzy sets, Indian J. Pure Appl. Math. 30 (1) (1999), 23-38.
  11. T. K. Mondal and S. K. Samata, Topology of interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 119 (2001), 483-494. https://doi.org/10.1016/S0165-0114(98)00436-9
  12. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  13. S. K. Samata and T. K. Mondal, Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal 73 (1997), 8-17.
  14. L. A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  15. L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning I, Inform. Sci. 8 (1975), 199-249. https://doi.org/10.1016/0020-0255(75)90036-5

Cited by

  1. INTERVAL-VALUED INTUITIONISTIC SMOOTH TOPOLOGICAL SPACES vol.24, pp.4, 2016, https://doi.org/10.11568/kjm.2016.24.4.663
  2. ([r, s], [t, u])-INTERVAL-VALUED INTUITIONISTIC FUZZY GENERALIZED PRECONTINUOUS MAPPINGS vol.25, pp.1, 2016, https://doi.org/10.11568/kjm.2017.25.1.1
  3. ([r, s], [t, u])-INTERVAL-VALUED INTUITIONISTIC FUZZY ALPHA GENERALIZED CONTINUOUS MAPPINGS vol.25, pp.2, 2016, https://doi.org/10.11568/kjm.2017.25.2.261
  4. Interval-valued intuitionistic fuzzy parameterized interval-valued intuitionistic fuzzy soft sets and their application in decision-making vol.12, pp.1, 2016, https://doi.org/10.1007/s12652-020-02227-0