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Fuzzy subcoalgebras and duality. (English) Zbl 1177.08004
Summary: In this paper, we apply the concepts of fuzzy subsets to coalgebras and define fuzzy subcoalgebras and fuzzy left (right) coideals. Considering the applications of fuzzy subcoalgebras and fuzzy left (right) coideals, we discuss their properties under homomorphisms of coalgebras and the relationship among them. A fuzzy subcoalgebra and its duality as well as a fuzzy subalgebra and its duality are also discussed.

MSC:
08A72 Fuzzy algebraic structures
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