Affiliations: [a]
Department of Basic Sciences, University of Engineering and Technology, Taxila, Pakistan
| [b]
Department of Mathematics, Faculty of Arts and Sciences, University of Gaziosmanpasa, Tokat, Turkey
Correspondence:
[*]
Corresponding author. Muhammad Touqeer, Department of Basic Sciences, University of Engineering and Technology, Taxila,
Pakistan. Tel.: +923324816846; Fax: +920519314281; E-mail: [email protected].
Abstract: The fuzzification of (weak, strong, reflexive) hyper h-ideals in hyper BCK-algebras is considered. It is shown that every fuzzy (weak, strong, reflexive) hyper h-ideal is a fuzzy (weak, strong, reflexive) hyper BCK-ideal. Relations among (fuzzy) weak hyper h-ideals, (fuzzy) hyper h-ideals, (fuzzy) strong hyper h-ideals and fuzzy reflexive hyper h-ideals are given. The hyper homomorphic pre-image of a fuzzy hyper h-ideal is discussed. It is proved that the product of fuzzy hyper h-ideals is also a fuzzy hyper h-ideal.
