Results 11 to 20 of about 8,801 (134)

Archimedean t-Norm and t-Conorm-Based Aggregation Operators of HFNs, with the Approach of Improving Education [PDF]

International Journal of Fuzzy Systems, 2021
Keikha A.
europepmc   +1 more source

A note on logical connectives with weak duality [PDF]

, 2015
The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-16235-5_2We study the weak duality S(x, N(x)) = N(T (x, N(x))) where S is a continuous t-conorm, T is a continuous t-norm and N is a strong negation.
Alsina Català, Claudi, Tomás Belenguer, María Santos   +1 more
core   +2 more sources

A generalization of the Mulholland inequality for continuous Archimedean t-norms

Journal of Mathematical Analysis and Applications, 2008
Motivated by the study of the dominance relation between Archimedean \(t\)-norms the authors make an interesting contribution generalizing Mulholland inequality. More precisely, the following result is proved: Theorem. Consider a function \(h:[0, \infty ] \to [0 , \infty]\) and some fixed value \(t \in ]0, \infty[\) such that (h1) \(h\) is continuous ...
Saminger-Platz, Susanne, De Baets, Bernard, De Meyer, Hans   +2 more
openaire   +1 more source

On Indistinguishability Operators, Fuzzy Metrics and Modular Metrics

Axioms, 2017
The notion of indistinguishability operator was introduced by Trillas, E. in 1982, with the aim of fuzzifying the crisp notion of equivalence relation.
Juan-José Miñana, Oscar Valero
doaj   +1 more source

Uniform K-stability, Duistermaat-Heckman measures and singularities of pairs [PDF]

, 2016
The purpose of the present paper is to set up a formalism inspired from non-Archimedean geometry to study K-stability. We first provide a detailed analysis of Duistermaat-Heckman measures in the context of test configurations, characterizing in ...
Boucksom, Sébastien, Hisamoto, Tomoyuki, Jonsson, Mattias   +2 more
core   +3 more sources

Skeletons of Prym varieties and Brill--Noether theory

, 2021
We show that the non-Archimedean skeleton of the Prym variety associated to an unramified double cover of an algebraic curve is naturally isomorphic (as a principally polarized tropical abelian variety) to the tropical Prym variety of the associated ...
Len, Yoav, Ulirsch, Martin
core   +1 more source

Some remarks on the distributive equation of fuzzy implication and the contrapositive symmetry for continuous, Archimedean t-norms

International Journal of Approximate Reasoning, 2013
In this short article we present corrections of some results presented in Baczynski (2010) [6] and Qin and Yang (2010) [13] which are connected with the distributive equation I(x,T"1(y,z))=T"2(I(x,y),I(x,z)) and the contrapositive symmetry I(x,y)=I(N(y),N(x)) when T"1, T"2 are continuous t-norms, N is a strong negation and I an unknown binary function,
Baczyński, Michał, Qin, Feng
openaire   +1 more source

Operator system structures on ordered spaces [PDF]

, 2009
Given an Archimedean order unit space (V,V^+,e), we construct a minimal operator system OMIN(V) and a maximal operator system OMAX(V), which are the analogues of the minimal and maximal operator spaces of a normed space.
Paulsen, Vern, Todorov, Ivan, Tomforde, Mark   +2 more
core   +1 more source

Generalizing a Construction of Non-Strong Fuzzy Metrics from Metrics and Studying Their Induced Topology

Mathematics
The problem of obtaining new examples of fuzzy metrics is of interest, as this type of fuzzy measurement has been proven to be useful in engineering applications.
Olga Grigorenko, Juan-José Miñana, Simona Talia   +2 more
doaj   +1 more source

Approximation of proximities by aggregating T-indistinguishability operators [PDF]

, 2007
For a continuous Archimedean t-norm T a method to approximate a proximity relation R (i.e. a reflexive and symmetric fuzzy relation) by a T-transitive one is provided.
Garmendia, L., Recasens, J.
core   +1 more source