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The measure of fuzzy sublattices based on min t-norms. (Chinese. English summary) Zbl 1424.06045

Summary: In this paper, the new concept of measures of fuzzy sublattices is given firstly, then we use measures of fuzzy sublattices to discuss that a fuzzy subset is the degree of a fuzzy sublattice. Second, an equivalent description of the measures of fuzzy sublattices is obtained using the fuzzy set (strong) level set of a lattice. Finally, the measures of fuzzy sublattice properties about the homomorphism image and inverse image of a fuzzy subset of a lattice are obtained.

MSC:

06D72 Fuzzy lattices (soft algebras) and related topics
28E10 Fuzzy measure theory
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