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Fuzzy filters in effect algebras. (Chinese. English summary) Zbl 1264.06016
Summary: We introduce the definition of fuzzy filters and fuzzy ideals in effect algebras and investigate their properties. The definition of strong fuzzy filters is introduced and studied. Moreover, we propose a fuzzy congruence in linearly effect algebras and prove that the fuzzy quotient by the given fuzzy congruence is a linearly lattice-ordered effect algebra.

MSC:
06C15 Complemented lattices, orthocomplemented lattices and posets
03G12 Quantum logic
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