| Title of paper:
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Complex trapezoidal intuitionistic fuzzy numbers
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| Author(s):
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| R. Parvathi
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| Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
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| paarvathis@rediffmail.com
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| J. Akila Padmasree
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| Department of Mathematics, Vellalar College for Women, Erode - 638 012, Tamilnadu, India
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| akilaa6666@gmail.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 4, pages 50–62
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| DOI:
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https://doi.org/10.7546/nifs.2018.24.4.50-62
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| Download:
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 PDF (185 Kb Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Complex trapezoidal intuitionistic fuzzy number (CTrIFN), Trapezoidal intuitionistic fuzzy number (TrIFN).
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| AMS Classification:
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03E72, 05C72, 05C65, 47N60.
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| References:
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- Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg.
- Parvathi, R., & Malathi, C. (2012). Arithmetic operations on symmetric trapezoidal intuitionistic fuzzy numbers, International Journal of Soft Computing and Engineering, 2(2), 268–273.
- Buckley, J. J. (1989). Fuzzy complex numbers, Fuzzy Sets and Systems, 33, 333–345.
- Beaula, T., & Priyadharsini, M. (2015). Operations on intuitionistic trapezoidal fuzzy numbers using interval arithmetic, Int. J. of Fuzzy Mathematical Archive, 9(1), 125–133.
- Moore, R. E. (1996). Interval Analysis, Prentice Hall, India.
- 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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