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

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 subs...

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Bibliographic Details
Main Authors: Akram, Muhammad, Kavikumar, Jacob, Khamis, Azme
Format: Article
Published: IOS Press 2015
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Online Access:http://eprints.uthm.edu.my/8297/
http://eprints.uthm.edu.my/8297/1/Intuitionistics%2520N%2520Fuzzy%2520sets.pdf
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Summary: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.