Notes on triangular intuitionistic fuzzy numbers

Mijanur Rahaman Seikh, Prasun Kumar Nayak and Madhumangal Pal

International Journal of Mathematics in Operational Research, 2013, vol. 5, issue 4, 446-465

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.

Keywords: triangular intuitionistic fuzzy numbers; TIFN; average ranking index; interval approximation; triangular fuzzy numbers; unconstrained optimisation. (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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