We say that a finitely additive probability measure $\mu $ on $\omega is P-measure if it vanishes points, and for each $\subseteq $-decreasing sequence $(E_n)$ of infinite subsets there $E\subseteq \omega such $E\,\s

The purpose of this paper is to amplify the remarks made in the footnote on p. 603 in [4]. A complete account of the investigation initiated in [4] will be published in Fundamenta Mathematicae; in this paper we shall discuss various strengthenings of the Ulam nonmeasurability condition as well as their relative strength. Some of the present results were announced in [6]. We shall assume the fam...

Abstract In this work we introduce and study some concepts relatively to fuzzy σ–algebra such as measure, countably additive, complete measure extension of measure. Moreover, present their basic properties examples them. addition, it is shown that the linear combination a too. Finally, relationships between proposed have been introduced.

Normal form games are nearly compact and continuous (NCC) if they can be understood as games played on strategy spaces that are dense subsets of the strategy spaces of larger compact games with jointly continuous payoffs. There are intrinsic algebraic, measure theoretic, functional analysis, and finite approximability characterizations of NCC games. NCC games have finitely additive equilibria, ...

We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence of rearrangements. We obtain nonexpansivity of rearrangement on the space L∞, and also on Orlicz spaces LN with respect to a finitely additive extende...

Using an auditory semantic priming paradigm, Moss, Ostrin, Tyler and Marslen-Wilson (1995, Experiment 2) demonstrated facilitation for category coordinates and functionally-related stimuli both with and without the additive effect of normative association strength. In this paper we replicate these results computationally using a corpus-derived Contextual Similarity measure. In Experiment 1 we c...

Interdependency among system parameters may significantly affect the cross-layer design and optimization performance of wireless networks. However, it is very difficult to derive the interdependency among system parameters in a dynamic complex networking system due to the uncertainty of data observation and system modeling. In this research, we propose a new approach for dynamic interdependency...

A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, nonfinancial and insurance positions. The debated cash additive axiom is relaxed into the cash sub-additive axiom to preserve the original difference between the numéraire of the current reserve amounts and future positions. Consequently, cash subadditive risk measures can m...

In this paper we consider the eeect of timedelay in the performance of the AIMD algorithm, speciically queue length and fairness for both rate and window based sources. The queue bounds can be used to allocate buuers at bottlenecks so that ows can go through without any loss.We modify the AIMD algorithm by making the additive rate increase parameter proportional to the round trip time and the d...