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Issue:Complex trapezoidal intuitionistic fuzzy numbers

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Title of paper: Complex trapezoidal intuitionistic fuzzy numbers
Author(s):
R. Parvathi
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
paarvathis@rediffmail.com
J. Akila Padmasree
Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
akilaa6666@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 50–62
DOI: https://doi.org/10.7546/nifs.2018.24.4.50-62
Download:  PDF (185 Kb  Kb, File info)
Abstract: The paper introduces the Complex Trapezoidal Intuitionistic Fuzzy Numbers (CTrIFNs) in Cartesian form. Basic arithmetic operations are proposed based on (α,β)-cuts and verified with suitable illustrations.
Keywords: Complex trapezoidal intuitionistic fuzzy number (CTrIFN), Trapezoidal intuitionistic fuzzy number (TrIFN).
AMS Classification: 03E72, 05C72, 05C65, 47N60.
References:
  1. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg.
  2. Parvathi, R., & Malathi, C. (2012). Arithmetic operations on symmetric trapezoidal intuitionistic fuzzy numbers, International Journal of Soft Computing and Engineering, 2(2), 268–273.
  3. Buckley, J. J. (1989). Fuzzy complex numbers, Fuzzy Sets and Systems, 33, 333–345.
  4. Beaula, T., & Priyadharsini, M. (2015). Operations on intuitionistic trapezoidal fuzzy numbers using interval arithmetic, Int. J. of Fuzzy Mathematical Archive, 9(1), 125–133.
  5. Moore, R. E. (1996). Interval Analysis, Prentice Hall, India.
  6. Burillo, P., Bustince, H., & Mohedano, V. (1994). Some definition of intuitionistic fuzzy number, Fuzzy Based Expert Systems, Sofia, Bulgaria, 1994, 28–30.
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