Issue:Intuitionistic fuzzy sets and fuzzy sets depending on Q-norms

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Title of paper: Intuitionistic fuzzy sets and fuzzy sets depending on Q-norms
Author(s):
Peter Vassilev
CLBME-Bulg. Academy of Sci.
peter.vassilevAt sign.pnggmail.com
Mladen Vassilev-Missana
V.Hugo Str 5, Sofia 1124, Bulgaria
missanaAt sign.pngabv.bg
Presented at: 12th ICIFS, Sofia, 17-18 May 2008
Published in: Conference proceedings, "Notes on IFS", Volume 14 (2008) Number 1, pages 1—6
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Abstract: In the paper the field of all rational numbers is considered as a universe set. A way of introducing Intuitionistic Fuzzy Sets and Fuzzy Sets with the help of some different norms on this field is proposed. Some modal operators are introduced and investigated too.
Keywords: Fuzzy sets, Intuitionistic fuzzy sets, Metric, Хorm, p-Adic norm
References:
  1. Zadeh, L., Fuzzy Sets.Information and Control, Vol.8, 1965, :338-353
  2. Atanassov, K. Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999
  3. Vassilev, P., A Metric Approach To Fuzzy Sets And Intuitionistic Fuzzy Sets, First Int. Workshop on IFSs,GNs,KE,6-7 Sept. 2006, :31-38
  4. Vassilev, P., On a class of d-fuzzy sets and d-intuitionistic fuzzy sets, NIFS,Vol.12, 2006 (3), :55-59
  5. Koblitz, N P-adic Numbers, p-adic Analysis, and Zeta-Functions, 2nd ed., New York: Springer-Verlag, 1984.
  6. Vassilev, P., Vassilev-Missana, M., On a Way for Introducing Metrics in Cartesian Products of Metric Spaces, NNTDM, Vol.8, 2002 (4), :125-128
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