Choquet type L 1 -spaces of a vector capacity

Ordered Vector Spaces and Elements of Choquet Theory (a Compendium)

Entropy of a choquet capacity

respectively We note that these operators are quite di erent in the sense that the rst one fo cuses the total weight on only one argument pro jection on the rst argument whereas the second one distributes the total weight among all the ar guments evenly arithmetic mean In order to capture this idea one can de ne a measure of dispersion associated to the weight vector of the weighted arithmetic ...

L-fuzzifying topological vector spaces

The main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding L-fuzzifying neighborhood structure of the zero element is given. Finally, the conclusion that the category of L-fuzzifying topological vect...

ON k-SUBSPACES OF L -VECTOR-SPACES

Let k ⊆ L be division rings, with [L : k ]right < ∞, and let Bk ⊆ AL be right vector spaces. Conditions are established in terms of the k-codimension of B in A, respectively the k-dimension of B, for there to exist a nonzero element a ∈A such that aL ∩ B = {0}, respectively an L-linear functional f on A such that f (B) = L . Some consequences and related open questions are discussed. Suppose k ...

Boundedness of linear order-homomorphisms in $L$-topological vector spaces

A new definition of boundedness of linear order-homomorphisms (LOH)in $L$-topological vector spaces is proposed. The new definition iscompared with the previous one given by Fang [The continuity offuzzy linear order-homomorphism, J. Fuzzy Math. 5 (4) (1997)829$-$838]. In addition, the relationship between boundedness andcontinuity of LOHs is discussed. Finally, a new uniform boundednessprincipl...