Intuitionistic N-fuzzy set and its application in biΓ-ternary semigroups

Article type: Research Article

Authors: Akram, Muhammad^* | Kavikumar, Jacob | Khamis, Azme Bin

Affiliations: Department of Mathematics and Statistics, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia

Correspondence: [*] Corresponding author. Muhammad Akram, Department of Mathematics and Statistics, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia. Tel.: +60 1123622163; E-mail: [email protected].

Abstract: This paper aims at introducing the notion of intuitionistic N-fuzzy set (INFS) and its application along with its examples. As the application of this set, its idea has been applied to a newly defined algebraic structure “BiΓ-Ternary Semigroup”. The notions of intuitionistic N-fuzzy biΓ-ternary subsemigroup and intuitionistic N-fuzzy biΓ-left (right, lateral and bi) ideals have been defined and related properties have been investigated here. The characterization of biΓ-ternary semigroup under these ideals has been established.

Keywords: BiΓ-ternary smigroup, intuitionistic N-fuzzy set, intuitionistic N-fuzzy biΓ-ternary subsmigroup, intuitionistic N-fuzzy biΓ-ideal

DOI: 10.3233/IFS-151817

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 951-960, 2016