Results 11 to 20 of about 267 (75)
Hidden modalities in algebras with negation and implication [PDF]
, 2013 Lukasiewicz 3-valued logic may be seen as a logic with hidden truthfunctional modalities de ned by A := :A ! A and A := :(A ! :A). It is known that axioms (K), (T), (B), (D), (S4), (S5) are provable for these modalities, and rule (RN) is admissible. We
Järvinen, Jouni +3 more
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Fuzzy positive implicative ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 5, Page 263-270, 2002., 2002 We consider the fuzzification of the notion of a positive implicative ordered filter in implicative semigroups. We show that every fuzzy positive implicative ordered filter is both a fuzzy ordered filter and a fuzzy implicative ordered filter. We give examples that a fuzzy (implicative) ordered filter may not be a fuzzy positive implicative ordered ...
Young Bae Jun +2 more
wiley +1 more source
Fuzzy BCI‐subalgebras with interval‐valued membership functions
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 2, Page 135-143, 2001., 2001 The purpose of this paper is to define the notion of an interval‐valued fuzzy BCI‐subalgebra (briefly, an i‐v fuzzy BCI‐subalgebra) of a BCI‐algebra. Necessary and sufficient conditions for an i‐v fuzzy set to be an i‐v fuzzy BCI‐subalgebra are stated. A way to make a new i‐v fuzzy BCI‐subalgebra from old one is given.
Sung Min Hong +3 more
wiley +1 more source
Some properties of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 The purpose of this paper is to initiate the concept of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebra and investigate some of their related properties.
Zulfiqar Muhammad
doaj +1 more source
Extension on the fuzzy integral based on ⊕‐decomposable measure
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 437-445, 2001., 2001 We extend the concept of fuzzy integral based on ⊕‐decomposable measure from nonnegative fuzzy measurable function to extended real‐valued fuzzy measurable function. Further investigations of fuzzy integrals based on pseudo‐additive decomposable measure are carried out.
Mamadou Traore
wiley +1 more source
Double-Valued Neutrosophic Sets, their Minimum Spanning Trees, and Clustering Algorithm
Journal of Intelligent Systems, 2018 Neutrosophy (neutrosophic logic) is used to represent uncertain, indeterminate, and inconsistent information available in the real world. This article proposes a method to provide more sensitivity and precision to indeterminacy, by classifying the ...
Kandasamy Ilanthenral
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Bijective transformations of fuzzy implications – An algebraic perspective [PDF]
, 2016 Bijective transformations play an important role in generating fuzzy implications from fuzzy implications. In [Representations through a Monoid on the set of Fuzzy Implications, Fuzzy Sets and Systems, 247, 51–67], Vemuri and Jayaram proposed a monoid ...
Jayaram, Balasubramaniam, Vemuri, N R
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Lattice operations on fuzzy implications and the preservation of the exchange principle [PDF]
, 2015 In this work, we solve an open problem related to the preservation of the exchange principle (EP) of fuzzy implications under lattice operations ([3], Problem 3.1.). We show that generalizations of the commutativity of antecedents (CA) to a pair of fuzzy
Jayaram, Balasubramaniam, Vemuri, N R
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Intersections between some families of (U,N)- and RU-implications [PDF]
, 2011 (U,N)-implications and RU-implications are the generalizations of (S,N)- and R-implications to the framework of uninorms, where the t-norms and t-conorms are replaced by appropriate uninorms. In this work, we present the intersections that exist between (
Baczynski, M, Jayaram, Balasubramaniam
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Fuzzy Galois connections on fuzzy sets
, 1981 In fairly elementary terms this paper presents how the theory of preordered fuzzy sets, more precisely quantale-valued preorders on quantale-valued fuzzy sets, is established under the guidance of enriched category theory.
García, Javier Gutiérrez +2 more
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