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Issue:Mathematical techniques to convert intuitionistic fuzzy sets into fuzzy sets

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Title of paper: Mathematical techniques to convert intuitionistic fuzzy sets into fuzzy sets
Author(s):
Abdul Quaiyum Ansari
Department of Computer science, Hamdard University, New Delhi - 110062, India
aqansari@ieee.org
Shadab Siddiqui
Department of Computer science, Hamdard University, New Delhi - 110062, India
Javed Alvi
Department of Computer science, Hamdard University, New Delhi - 110062, India
Published in: "Notes on IFS", Volume 10 (2004) Number 1, pages 13-17
Download:  PDF (205  Kb, Info)
Abstract: Intuitionistic fuzzy set theory is an extension of fuzzy theory, which has been in existence since 1965 when Lotfi A. Zadeh presented the formal definition of fuxxy sets and their relevance. Later K. T. Atanassov proposed the concept of Intuitionistic fuzzy sets derived from fuzzy theory. Since then it has been studied and researched upon by various research scholars but no body has yet been able to back-trace Intuitionistic fuzzy values to equivalent fuzzy values. Here the authors have taken the a bold step to propose certain mathematical approaches which could give precise and approximate equivalent fuzzy values of intuitionistic fuzzy sets.
Keywords: Fuzzy sets, Intuitionistic fuzzy set, Degree of membership
References:
  1. Atanassov, K. T., Intuitionistic Fuzzy Sets: Theory and Applications, Fuzzy Sets and Systems, Physica-Verlag, 1999
  2. Atanassov, K. T., More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33, pp 37-46, 1989
  3. Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1), pp. 87-96, 1986.
  4. Klir, J. G. and Yuan, B., Fuzzy sets and fuzzy logic: Theory and applications, Prentice Hall of India, 1995
  5. Zadeh, L. A., Fuzzy sets, Information and Control, 8(3), pp. 228-252, 1965.
  6. Ansari, A. Q., The basics of fuzzy logic: A tutorial review. Computer Education UK, No 88, pp. 5-9, February 1998.
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