FUZZY (POSITIVE, WEAK) IMPLICATIVE HYPER BCK-IDEALS

Document Type: Research Paper

Authors

1 Department of Mathematics, Sistan and Baluchestan University, Zahedan, Iran

2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this note first we define the notions of fuzzy positive implicative
hyper BCK-ideals of types 1,2,3 and 4. Then we prove some theorems which
characterize the above notions according to the level subsets. Also we obtain
the relationships among these notions, fuzzy (strong, weak, reflexive) hyper
BCK-ideals and fuzzy positive implicative hyper BCK-ideals of types 5,6,7
and 8. Then, we define the notions of fuzzy (weak) implicative hyper BCKideals
and we obtain some related results. Finally, by considering the product
of two hyper BCK-algebras we give some theorems which show that how the
projections of a fuzzy (positive implicative, implicative) hyper BCK-ideal is
again a fuzzy (positive implicative, implicative) hyper BCK-ideal.

Keywords


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