Finite-valued dually residuated lattice-ordered monoids
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Folding theory applied to BL-algebras
Young Jun, Jung Ko (2004)
Open Mathematics
The notion of n-fold grisly deductive systems is introduced. Some conditions for a deductive system to be an n-fold grisly deductive system are provided. Extension property for n-fold grisly deductive system is established.
Fractal construction of an atomic Archimedean effect algebra with non-atomic subalgebra of sharp elements
Vladimír Olejček (2012)
Kybernetika
Does there exist an atomic Archimedean lattice effect algebra with non-atomic subalgebra of sharp elements? An affirmative answer to this question is given.
Fuzzy n-fold integral filters in BL-algebras
Rajab Ali Borzooei, Akbar Paad (2013)
Discussiones Mathematicae - General Algebra and Applications
In this paper, we introduce the notion of fuzzy n-fold integral filter in BL-algebras and we state and prove several properties of fuzzy n-fold integral filters. Using a level subset of a fuzzy set in a BL-algebra, we give a characterization of fuzzy n-fold integral filters. Also, we prove that the homomorphic image and preimage of fuzzy n-fold integral filters are also fuzzy n-fold integral filters. Finally, we study the relationship among fuzzy n-fold obstinate filters, fuzzy n-fold integral filters...
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