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

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http://ifigenia.org/wiki/issue:nifs/16/3/22-27

Title of paper: (α,β)-cut of intuitionistic fuzzy ideals Author(s): Dhiren Kumar Basnet Department of Mathematics, Assam University, Silchar-788011, Assam, India dkbasnet@rediffmail.com Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 16 (2010) Number 3, pages 22—27 Download:  PDF (161  Kb, File info) Abstract: For any Intuitionistic fuzzy set [math]\displaystyle{ A = {\lt x, \mu_A(x), \nu_A(x) | x \in E\gt } }[/math] of a set [math]\displaystyle{ E }[/math], we define a [math]\displaystyle{ (\alpha, \beta) }[/math]-cut of [math]\displaystyle{ A }[/math] as the crisp subset [math]\displaystyle{ \{ x \in E | \mu_A(x) \geq \alpha, \nu_A(x) \leq \beta \} }[/math] of [math]\displaystyle{ E }[/math]. In this paper some interesting properties of [math]\displaystyle{ (\alpha, \beta) }[/math]-cut of Intuitionistic fuzzy ideals of a ring were discussed. Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy ideal, (α,β)-cut References: Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy sets and systems, 20 (1986), no. 1, 87–96. Banerjee B. and Basnet. D. K., “Intuitionistic Fuzzy Subrings and Ideals”, J. of Fuzzy Mathematics, Vol. 11, No. 1, 2003 , 139 – 155. Basnet D. K., “Intuitionistic Fuzzy Ideals”, J. of Fuzzy Mathematics, Vol. 15, No. 4, 2007, 811 – 819. Citations: Issue:(∈, ∈∨q)-Intuitionistic fuzzy ideals of BCK/BCI-algebras ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.