Probability and possibility models of matrix games of two subjects

Probability models and their possibility counterparts of one-matrix and bimatrix games of two subjects (A and B) were defined and analyzed. For the one-matrix game possibility model, a theorem was proven saying that maximin and minimax fuzzy strategies exist and that possibilities of A winning or losing (B) in relation to these strategies are equal. The concepts of fuzzy and randomized game strategies were defined and analyzed. The problem of statistic modeling of A and B fuzzy strategies was resolved. For possible models of bimatrix games, the existence of equilibrium points was examined. For the problem of maximization of the winning A and B possibility, it was proven that equilibrium points exist. For the problem of minimizing the possibility of losses, it was shown that if equilibrium points exist, some of them are related to clear strategies, A and B.     

Quasi-distributed measuring system based on Bragg sensors of mechanical stress with increased sample rate

Functionality and technical features of modern industrial fiber-optic sensors on Bragg gratings are considered. Feasibility to design information-measuring systems for such sensors involving the improved concept of calibration based on acetylene cavity is studied. The results of investigation regarding the design and analysis of the prototypical information-measuring system are discussed.     

Transformation of a mealy finite-state machine into a moore finite-state machine by splitting internal states

The problem of transformation of a Mealy finite-state machine (FSM) into an equivalent Moore FSM is considered. This problem often arises in the practice of engineering design, when one needs to avoid direct dependence of the output values on variations in the input values. The proposed approach uses the operation of splitting of internal states of an FSM and represents the machine as a list of transitions. Experiment results have shown that transformation of Mealy FSM into Moore FSM increases the number of internal states, on the average, by a factor of 1.96 and increases the number of transitions by a factor of 2.05; the cost of realization of Moore FSM using an industrial software package is approximately twice as great as the corresponding cost for a Mealy machine. The up-to-date tendencies of development of minimization methods and Moore FSM synthesis are described.     

Conjugate mixture models for clustering multimodal data

The problem of multimodal clustering arises whenever the data are gathered with several physically different sensors. Observations from different modalities are not necessarily aligned in the sense there there is no obvious way to associate or compare them in some common space. A solution may consist in considering multiple clustering tasks independently for each modality. The main difficulty with such an approach is to guarantee that the unimodal clusterings are mutually consistent. In this letter, we show that multimodal clustering can be addressed within a novel framework: conjugate mixture models. These models exploit the explicit transformations that are often available between an unobserved parameter space (objects) and each of the observation spaces (sensors). We formulate the problem as a likelihood maximization task and derive the associated conjugate expectation-maximization algorithm. The convergence properties of the proposed algorithm are thoroughly investigated. Several local and global optimization techniques are proposed in order to increase its convergence speed. Two initialization strategies are proposed and compared. A consistent model selection criterion is proposed. The algorithm and its variants are tested and evaluated within the task of 3D localization of several speakers using both auditory and visual data.     

Problem of reconstructing input signals under communication constraints

For a linear controllable system, the problem of reconstruction of all input signals, which are compatible with the measured signal, is considered. It is assumed that information can be transmitted in a processing center only via digital communication channel at discrete time instants, and the word length is limited. In this connection, there are encoding and decoding devices in the communication channel. For simplicity, the communication channel is assumed to be noiseless and delay-free. Defining relationships are obtained for the set of compatible input signals, as well as relationships between reconstruction precision, length of transmitted word and transmission frequency.     

<Emphasis Type="Italic">A</Emphasis>-equilibrium and fuzzy <Emphasis Type="Italic">A</Emphasis>-core in pure exchange model with externalities

The paper suggests the concept of A-equilibrium that is a concretization of the “altruistic” Berge equilibrium adapted to the pure exchange models with externalities. In contrast to the classical markets, these models consider the external influence on the preferences of economic agents. In terms of an appropriate fuzzy domination, a cooperative characterization of the A-equilibrium allocations is given, and an analog of the classic core equivalence theorem is established.     

Heat denaturation of hemocytocardiotoxin from the venom of the Central Asian cobra

It has been stated that boiled for three hours haemocytocardiotoxin (HT) from cobra poison loses "direct" hemolytic activity and is unable to potentiate a haemolytic effect of phospholipase A. Surface activity of HT does not change. It is shown that in the course of heat denaturation the aggregation of toxin molecules to dimers and trimers takes place and electrophoretic mobility is decreased. The fluorescence of HT tyroxin residues supported the fact of its irreversible heat denaturation.