Chen, Wenjuan Fuzzy subcoalgebras and duality. (English) Zbl 1177.08004 Bull. Malays. Math. Sci. Soc. (2) 32, No. 3, 283-294 (2009). 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. Cited in 2 Documents MSC: 08A72 Fuzzy algebraic structures Keywords:fuzzy subcoalgebras; fuzzy subalgebras; fuzzy left coideals; fuzzy ideals; coalgebras; duality PDF BibTeX XML Cite \textit{W. Chen}, Bull. Malays. Math. Sci. Soc. (2) 32, No. 3, 283--294 (2009; Zbl 1177.08004) Full Text: EuDML Link OpenURL