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On (∈,∈ ∨ q)Fuzzy Filters of PseudoBL Algebras
"... Abstract. The aim of this paper is to introduce the notion of (∈,∈ ∨ q)fuzzy (implicative, MV and G) filters of pseudoBL algebras and to investigate some of their related properties. Some characterization theorems of these generalized fuzzy (implicative) filters are derived. The relationship amo ..."
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of implicationbased fuzzy implicative filters of pseudoBL algebras, in particular, the implication operators in Lukasiewicz system of continuousvalued logic are discussed.
Some Properties of Fuzzy Filters in Lattice Implication Algebras
"... In this paper, several equivalent conditions for fuzzy filters are given in lattice implication algebra. The relation between fuzzy filters and fuzzy implicative filters is discussed. It is also proved that fuzzy implicative filters are fuzzy filters in lattice implication algebra. ..."
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In this paper, several equivalent conditions for fuzzy filters are given in lattice implication algebra. The relation between fuzzy filters and fuzzy implicative filters is discussed. It is also proved that fuzzy implicative filters are fuzzy filters in lattice implication algebra.
Weakly implicative (fuzzy) logics
 Institute of Computer
, 2004
"... In Abstract Algebraic Logic (see e.g. [2] or [3]) a classification of wellbehaved logical systems, called ‘Leibniz hierarchy’, is based on the properties of Leibniz operator mapping every filter on an algebra to the maximum logical congruence compatible with the filter (i.e. not identifying element ..."
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Cited by 4 (0 self)
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In Abstract Algebraic Logic (see e.g. [2] or [3]) a classification of wellbehaved logical systems, called ‘Leibniz hierarchy’, is based on the properties of Leibniz operator mapping every filter on an algebra to the maximum logical congruence compatible with the filter (i.e. not identifying
Basic fuzzy logic and BLalgebras
, 1996
"... The relation of the basic fuzzy logic BL to continuous tnorms is studied and two additional axioms are formulated such that the extended logic is complete with respect to tautologies over all logics given by continuous tnorms. Keywords Basic fuzzy logic, continuous tnorms, residuated lattices. ..."
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Cited by 34 (1 self)
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. 0.1 Introduction. Basic fuzzy logic BL, as developed and investigated in [3], is closely related to continuous tnorms; as summarized bellow, each continuous tnorm determines (1) a semantics of fuzzy propositional logic for which BL is sound, and (2) a particular linearly ordered BLalgebra, BLalgebras
Interval valued (∈, ∈ ∨ q)fuzzy filters of pseudo BLalgebras
, 2008
"... We introduce the concept of quasicoincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued (∈, ∈ ∨ q)fuzzy filters of pseudo BLalgebras and investigate some of their related properties. Some characterization theo ..."
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We introduce the concept of quasicoincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued (∈, ∈ ∨ q)fuzzy filters of pseudo BLalgebras and investigate some of their related properties. Some characterization
Algebraic aspects of fuzzy sets and fuzzy logics
 Proc. Work. on Current Trends and Development in Fuzzy Logic, ThessalonikiGreece
, 1998
"... This paper is expository. It is mainly a survey of some of our work on the algebraic systems that arise in fuzzy set theory and logic. We include some of the proofs here ..."
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Cited by 12 (5 self)
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This paper is expository. It is mainly a survey of some of our work on the algebraic systems that arise in fuzzy set theory and logic. We include some of the proofs here
FILTERS OF R0ALGEBRAS
, 2006
"... The notion of fated filters in R0algebras is introduced. Characterizations of (fated) filters are given. A filter generated by a set is established. By introducing the notion of finite property, we show that if F is a nonempty subset of an R0algebra L that has the finite property, then there exi ..."
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The notion of fated filters in R0algebras is introduced. Characterizations of (fated) filters are given. A filter generated by a set is established. By introducing the notion of finite property, we show that if F is a nonempty subset of an R0algebra L that has the finite property
IMPLICATIVE FILTERS OF R0ALGEBRAS BASED ON FUZZY POINTS
"... Abstract. As a generalization of the concept of a fuzzy implicative filter which is introduced by Liu and Li [3], the notion of (∈, ∈ ∨ qk)fuzzy implicative filters is introduced, and related properties are investigated. The relationship between (∈, ∈ ∨ qk)fuzzy filters and (∈, ∈ ∨ qk)fuzzy impl ..."
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implicative filters is established. Conditions for an (∈, ∈ ∨ qk)fuzzy filter to be an (∈, ∈ ∨ qk)fuzzy implicative filter are considered. Characterizations of an (∈, ∈ ∨ qk)fuzzy implicative filter are provided, and the implicationbased fuzzy implicative filters of an R0algebra is discussed. 1.
Research Article On Some Fuzzy Filters in PseudoBCI Algebras
"... which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Some new properties of fuzzy associative filters (also known as fuzzy associative pseudofilters), fuzzy pfilter (also known as fuzzy pseudopfilters), and fuzzy afilter (al ..."
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(also known as fuzzy pseudoafilters) in pseudoBCI algebras are investigated. By these properties, the following important results are proved: (1) a fuzzy filter (also known as fuzzy pseudofilters) of a pseudoBCI algebra is a fuzzy associative filter if and only if it is a fuzzy afilter; (2) a
FUZZY BOOLEAN ALGEBRAS AND LUKASIEWICZ LOGIC
"... Abstract. In this paper, we analyze the more adequate tools to solve many current logical challenges in A I. When approaching the complex practical problems, the choice of solving strategy is crucial. As we will see, the method to be used depends on many factors, as the type of problem or its applic ..."
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of fuzzy sets possess the character of Boolean Algebras, and the very interesting case considering Lukasiewicz Logic.
Results 1  10
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