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Fuzzy closure systems and fuzzy closure operators
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Abstract
We introduce fuzzy closure systems andfuzzy closure operatorsas extensions of closure systems andclosure operators.We study relationships between fuzzy closure systems andfuzzy closure spaces.In particular, two families F(S) and F(C) of fuzzy closuresystems and fuzzy closure operators on X are complete lattice isomorphic.
참고문헌 (9)
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- "The lattices of closure systems closure operators and implicational systems on a finite set"
- "MV-algebras embedded in a CL-algebra", 18, pp.217~229 (1998)
- "Fuzzy topological spaces"
- "G. Gerla \paper An extension principle for fuzzylogics \jour Mathematical Logic Quarterly \vol 40\pages357--380\yr 1994"
- "Extension principles for fuzzy set theory", 106, pp.49~69 (1998)
- "Lattices of closure operators", 179, pp.267~272 (1998)
- "Fuzzy closure spaces"
- "Psedocomplements of closure operators on posets", 248, pp.143~155 (2002)
관련 논문AI추천
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