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Notes on triangular intuitionistic fuzzy numbers

Author

Listed:
  • Mijanur Rahaman Seikh
  • Prasun Kumar Nayak
  • Madhumangal Pal

Abstract

The notion of triangular fuzzy number is put forward on the basis of intuitionistic fuzzy sense. The basic algebra and some non-linear operations of triangular intuitionistic fuzzy numbers (TIFNs) are devised. The average ranking index is introduced to find out order relations between two TIFNs. A method is described to approximate a TIFN to a nearly approximated interval number. Applying this result and using interval arithmetic, a bound unconstrained optimisation problem is solved whose coefficients are fixed TIFNs. Numerical examples are also given for illustration.

Suggested Citation

  • Mijanur Rahaman Seikh & Prasun Kumar Nayak & Madhumangal Pal, 2013. "Notes on triangular intuitionistic fuzzy numbers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 5(4), pages 446-465.
    • Handle: RePEc:ids:ijmore:v:5:y:2013:i:4:p:446-465
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    Cited by:

    1. Ocampo, Lanndon & Aro, Joerabell Lourdes & Evangelista, Samantha Shane & Maturan, Fatima & Atibing, Nadine May & Yamagishi, Kafferine & Selerio, Egberto, 2023. "Synthesis of strategies in post-COVID-19 public sector supply chains under an intuitionistic fuzzy environment," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    2. Yahya Hanine & Youssef Lamrani Alaoui & Mohamed Tkiouat & Younes Lahrichi, 2021. "Socially Responsible Portfolio Selection: An Interactive Intuitionistic Fuzzy Approach," Mathematics, MDPI, vol. 9(23), pages 1-13, November.

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