Intuitionistic Fuzzy Dual Positive Implicative Hyper K- Ideals

In this note first we define the notions of intuitionistic fuzzy dual positive implicative hyper K-ideals of types 1,2,3,4 and intuitionistic fuzzy dual hyper K-ideals. Then we give some classifications about these notions according to the level subsets. Also by given some examples we show that these notions are not equivalent, however we prove some theorems which show that there are some relationships between these notions. Finally we define the notions of product and antiproduct of two fuzzy subsets and then give some theorems about the relationships between the intuitionistic fuzzy dual positive implicative hyper K-ideal of types 1,2,3,4 and their (anti-)products, in particular we give a main decomposition theorem.

Authors:

• M.M. Zahedi
• L. Torkzadeh

Keywords:

• hyper K-algebra
• intuitionistic fuzzy dual positive implicative hyper K-ideal.

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