Issue:(α,β)-cut of intuitionistic fuzzy ideals

{{issue/data | conference     = | issue          = "Notes on IFS", Volume 16 (2010) Number 3, pages 22—27 | file           = NIFS-16-3-22-27.pdf | format         = PDF | size           = 161 | abstract       =

For any Intuitionistic fuzzy set $$A = {}$$ of a set $$E$$, we define a $$(\alpha, \beta)$$-cut of $$A$$ as the crisp subset $$x \in E | \mu_A(x) \ge \alpha, \nu_A(x) \le \beta}$$ of $$E$$. In this paper some interesting properties of $$(\alpha, \beta)$$-cut of Intuitionistic fuzzy ideals of a ring were discussed.

| keywords       = Intuitionistic fuzzy set, Intuitionistic fuzzy ideal, (α,β)-cut | references     =
 * 1) Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy sets and systems, 20 (1986), no. 1, 87–96.
 * 2) Banerjee B. and Basnet. D. K., “Intuitionistic Fuzzy Subrings and Ideals”, J. of Fuzzy Mathematics, Vol. 11, No. 1, 2003, 139 – 155.
 * 3) Basnet D. K., “Intuitionistic Fuzzy Ideals”, J. of Fuzzy Mathematics, Vol. 15, No. 4, 2007, 811 – 819.

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