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Issue:Intuitionistic fuzzy basis of an intuitionistic fuzzy vector space

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Title of paper: Intuitionistic fuzzy basis of an intuitionistic fuzzy vector space
Author(s):
Moumita Chiney
Department of Mathematics, Visva-Bharati, Santiniketan – 731235, West Bengal, India
moumi.chiney@gmail.com
S. K. Samanta
Department of Mathematics, Visva-Bharati, Santiniketan – 731235, West Bengal, India
syamal_123@ahoo.co.in
Published in: "Notes on IFS", Volume 23, 2017, Number 4, pages 62—74
Download:  PDF (157 Kb  Kb, File info)
Abstract: In the present paper the notion of intuitionistic fuzzy vector space is introduced and a representation theorem is established. The notion of intuitionistic fuzzy basis has been developed.
Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy vector space, Intuitionistic fuzzy basis.
AMS Classification: 03E72, 15A03.
References:
  1. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
  2. Atanassov, K. T. (1994) New operations defined over intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2), 137–142.
  3. Biswas, R. (1989) Intuitionistic fuzzy subgroups, Math. Forum, 10, 37–46.
  4. Biswas, R. (1997) On fuzzy sets and intuitionistic fuzzy sets, Notes on IFS, 3, 3–11.
  5. Chen, Wenjuan & Zhang, Shunhua (2009) Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals, Computers and Mathematics with Applications, 58, 1645–1661.
  6. Coker, D. (1997) An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 81–89.
  7. Davvaz, B. Dudek, W. A. & Jun, Y. B. (2006) Intuitionistic fuzzy H v submodules. Information Sciences, 176, 285–300.
  8. De, S. K., Biswas, R. & Roy, A. R. (2001) An application of intuitionistic fuzzy sets in medical diagnostic, Fuzzy sets and systems, 117(2), 209–213.
  9. Ejegwa, P. A., Akubo, A. J. & Joshua, O. M. (2014) Intuitionistic fuzzy set and its application in career determination via normalized euclidean distance method, European Scientific Journal, 10(15), 529–536.
  10. Hur, K., Jang, S. Y. & Kang, H. W. (2003) Intuitionistic fuzzy subgroupoids, International Journal of Fuzzy Logic and Intelligent Systems, 3(1), 72–77.
  11. Hur, K., Kang, H. W. & Song, H. K. (2003) Intuitionistic fuzzy subgroups and subrings, Honam Math. J., 25, 19–41.
  12. Katsaras, A. K. & Liu, D. B. (1977) Fuzzy vector spaces and fuzzy topological vector spaces, J. Math. Anal. Appl., 58, 135–146.
  13. Mohammed, M. J. & Ataa, G. A. (2014) On Intuitionistic fuzzy topological vector space, Journal of College of Education for Pure Sciences, 4, 32–51.
  14. Mondal, K. K. & Samanta, S. K. (2013) A study on Intuitionistic fuzzy topological spaces, Notes on Intuitionistic Fuzzy Sets, 9(1), 1–32.
  15. Park, J. H. (2004) Intuitionstic fuzzy metric spaces, Chaos Solitons Fractals, 22, 1039–1046.
  16. Padmapriya, S., Uma, M. K. & Roja, E. (2014) A study on intuitionistic fuzzy topological* groups, Annals of Fuzzy Mathematics and Informatics, 7(6), 991–1004.
  17. Pradhan , R. & Pal, M. (2012) Intuitionistic fuzzy linear transformations, Annals of Pure and Applied Mathematics, 5(1), 57–68.
  18. Saadati, R. & Park, J. H. (2006) On the Intuitionistic Fuzzy Topological Spaces. Chaos, Solitons and Fractals, 27, 331–344.
  19. Shi, F. G. & Huang, C. E. (2010) Fuzzy bases and the fuzzy dimension of fuzzy vector spaces, Math. Commun., 15(2), 303–310.
  20. Szmidt, E. & Kacprzyk, J. (1996) Intuitionistic fuzzy sets in group decision making, NIFS, 2(1), 11–14.
  21. Zadeh, L. A. (1965) Fuzzy sets, Information and Control, 8, 338–353
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