Category of fuzzy hyper BCK-algebras
Joseph Dongho
TL;DR
This paper introduces the category of fuzzy hyper BCK-algebras and demonstrates that the category of hyper BCK-algebras is complete, having equalizers, coequalizers, products, and pullbacks, thus establishing its categorical properties.
Contribution
It defines the category of fuzzy hyper BCK-algebras and proves the completeness of the category of hyper BCK-algebras, including the existence of key categorical limits.
Findings
The category of hyper BCK-algebras has equalizers and coequalizers.
The category of hyper BCK-algebras has products and is complete.
The category of hyper BCK-algebras has pullbacks.
Abstract
In this paper we first define the category of fuzzy hyper BCK- algebras. After that we show that the category of hyper BCK-algebras has equalizers, coequalizers, products. It is a consequence that this category is complete and hence has pullbacks.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Fuzzy Logic and Control Systems · Multi-Criteria Decision Making