Basic generated universal fuzzy measures

Fuzzy Topology Generated by Fuzzy Norm

In the current paper, consider the fuzzy normed linear space $(X,N)$ which is defined by Bag and Samanta. First, we construct a new fuzzy topology on this space and show that these spaces are Hausdorff locally convex fuzzy topological vector space. Some necessary and sufficient conditions are established to illustrate that the presented fuzzy topology is equivalent to two previously studied fuz...

Basic Properties of L-fuzzy Quantifiers of the Type <1> Determined by Fuzzy Measures

The aim of this paper is to study monadic L-fuzzy quantifiers of the type 〈1〉 determined by fuzzy measures. These fuzzy quantifiers are defined using a novel notion of ⊗-fuzzy integral. Several semantic properties of these L-fuzzy quantifiers are studied. Keywords— fuzzy integral, fuzzy logic, fuzzy measure, fuzzy quantifier, generalized quantifier

Universal Triple I Method for Fuzzy Reasoning and Fuzzy Controller

As a generalization of the triple I method, the universal triple Imethod is investigated from the viewpoints of both fuzzy reasoningand fuzzy controller. The universal triple I principle is putforward, which improves the previous triple I principle. Then,unified form of universal triple I method is established based onthe (0,1)-implication or R-implication. Moreover, the reversibilityproperty o...

Universal Bayesian Measures and Universal Histogram Sequences

Consider universal data compression: the length l(x) of sequence x ∈ A with finite alphabet A and length n satisfies Kraft’s inequality over A, and − 1 n log P (x) Qn(xn) almost surely converges to zero as n grows for the Q(x) = 2 ) and any stationary ergodic source P . In this paper, we say such a Q is a universal Bayesian measure. We generalize the notion to the sources in which the random va...

Convexly Generated ¿-dimensional Measures