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Issue:An intuitionistic fuzzy interpretation of multi-measurement methods

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Title of paper: An intuitionistic fuzzy interpretation of multi-measurement methods
Author(s):
Boyan Djakov
Institute of Electronics - Bulgarian Academy of Sciences, Tsarigradsko Chaussee, 72, Sofia-1784, Bulgaria
boyaii@ie.bas.bg
Elmira Vasileva
Institute of Electronics - Bulgarian Academy of Sciences, Tsarigradsko Chaussee, 72, Sofia-1784, Bulgaria
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, P.O.Box 12, Sofia-1113, Bulgaria
krat@bas.bg
Published in: "Notes on IFS", Volume 9 (2003), Number 1, pages 33-40
Download:  PDF (3839  Kb, Info)
Abstract: In a number of cases encountered in natural sciences, sociology, medicine, etc., more than one alternative methods of measurements are available to the researcher. The choice of the best method is often difficult for different reasons: insufficient knowledge about the objects under study, presence of disturbing factors such as noise, complex measuring techniques and/or procedures that are not controlled well. Such situation is considered in this paper.

Examples of position measurements for image records of objects that are of microscopic size such as cathode spots studied in physics of arc discharges are considered although the approach developed here can be used for other cases. A method to quantify and, possibly, minimize the uncertainty of such measurements is proposed.


References:
  1. R.L. Boxman, P.J. Martin, D.M. Sanders. Handbook of Vacuum Arc Science and Technology. Fundamentals and Applications. Sanders Noyes Publications, Park Ridge - New Jersey USA, 1995.
  2. K. Atanassov, Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
  3. B.E. Djakov and B. Juttner, Random and directed components of arc spot motion in vacuum, J.Phys.D 35, 2570 - 2577 (2002).
  4. I.Beilis, B.E. Djakov and B. Juttner, Vacuum arc spots on cathodes made of tungsten coated graphite, to be published.
  5. K. Atanassov, G. Pasi and R. Yager. Intuitionistic fuzzy interpretations of multi-person multi-criteria, decision making. Proceedings of 2002 First International Symposium Intelligent Systems, Vol. 1, 115-119.
  6. J.D. Hinchen. Practical Statistics for Chemical Research. Methuen Science Paperbacks, London,1969.
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