379 research outputs found
Interval valued (\in,\ivq)-fuzzy filters of pseudo -algebras
We introduce the concept of quasi-coincidence of a fuzzy interval value with
an interval valued fuzzy set. By using this new idea, we introduce the notions
of interval valued (\in,\ivq)-fuzzy filters of pseudo -algebras and
investigate some of their related properties. Some characterization theorems of
these generalized interval valued fuzzy filters are derived. The relationship
among these generalized interval valued fuzzy filters of pseudo -algebras
is considered. Finally, we consider the concept of implication-based interval
valued fuzzy implicative filters of pseudo -algebras, in particular, the
implication operators in Lukasiewicz system of continuous-valued logic are
discussed
Classes of filters in generalizations of commutative fuzzy structures
summary:Bounded commutative residuated lattice ordered monoids (-monoids) are a common generalization of -algebras and Heyting algebras, i.e. algebras of basic fuzzy logic and intuitionistic logic, respectively. In the paper we develop the theory of filters of bounded commutative -monoids
On a New Construction of Pseudo BL-Algebras
We present a new construction of a class pseudo BL-algebras, called kite
pseudo BL-algebras. We start with a basic pseudo hoop . Using two injective
mappings from one set, , into the second one, , and with an identical
copy with the reverse order we construct a pseudo BL-algebra
where the lower part is of the form and the upper one is
. Starting with a basic commutative hoop we can obtain even a
non-commutative pseudo BL-algebra or a pseudo MV-algebra, or an algebra with
non-commuting negations. We describe the construction, subdirect irreducible
kite pseudo BL-algebras and their classification
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