Fuzzy point hyper BCK-algebras

A  Borumand Saeid  and L  Torkzadeh

doi:10.17485/ijst/2010/v3i5.13

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2010/v3i5.13

Year: 2010, Volume: 3, Issue: 5, Pages: 515-522

Original Article

Fuzzy point hyper BCK-algebras

A. Borumand Saeid¹ and L. Torkzadeh^2*

¹ Dept. of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
² Dept. of Mathematics, Islamic Azad university, Kerman Branch, Kerman, Iran
[email protected] ; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

By using the concept of fuzzy points, we generalize the notion of hyper BCK-algebra and the notions of fuzzy point hyper BCK-(sub) algebras, fuzzy point (weak, strong) hyper BCK-ideals, quasi hyper BCK-(sub) algebras and quasi (weak, strong) hyper BCK-ideals are introduced. The relationship between these notions are stated and proved. Finally, we study the condition QH on quasi hyper BCK-algebras.
Keywords: Hyper BCK-algebra, (quasi, fuzzy point) hyper BCK-algebra, (quasi, fuzzy point) hyper BCK-ideal.