On identification in fuzzy systems and its applications in control problems

The problem of identification in fuzzy systems described by the use of fuzzy equation is considered. The identification method and its performance index is also presented. The formal procedure of the identification algorithm is illustrated by means of a numerical example. The possibility of using the proposed algorithm for the solution of a control problem is given as well.     

Holomorphically projective structures II. The transgressed classes

There is proved that the transgressed classes are invariant under holomorphically projective transformations of connections.     

Control problems in fuzzy systems

This paper deals with some problems of the control of fuzzy systems described by means of a relational equation of the type: X_{κ + 1} = U_κ ° X_κ ° R. The basic aspects such as mutual identification and control, stabilization control, control with constraints, generation of control rules of a fuzzy logic controller, important from the theoretical and applicational point of view are discussed and illustrated by means of numerical examples.     

Separation of metals by liquid surfactant membranes containing crown ether carboxylic acids

A water-in-oil-in-water emulsion liquid membrane system is used to transport alkali metal and alkaline earth cations from an external alkaline aqueous source phase through an organic membrane containing a crown ether carboxylic acid and into the internal acidic aqueous phase of the emulsion droplet. The influence of varying the crown ether carboxylic acid structure upon the selectivity and efficiency of competitive metal ion transport is examined.     

2-(3,5-Diaryl-Δ4-1,3,4-thiadiazolin-2-yliden)-1,3-dithiole eine neue klasse elektronenreicher olefine

The dithiolium perchlorates 3a and b were smoothly converted into the phosphonium perchlorates 4a and b by reaction with tributylphosphin. Their deprotonation with butyllithium generates the methylen-phosphoranes 7 (not isolates), from which the electron-rich olefines 9a-d are obtained by successive treatment with the Δ⁴-1,3,4-thiadiazolium perchlorates 5d and e such as triethylamine. The olefine synthesis can be performed too by the reverse way, that is by the reaction of the phosphonium salts 6a-c with the dithiolium salts 3a and b under authentic conditions. In this way the electron-rich olefines 9e-h are obtained.     

Competitive transport of alkali metal ions from aqueous media into toluene solutions of 2-(sym-dibenzo-16-crown-5-oxy)-decanoic acid. A comparative study

Competitive permeation of alkali metal ions from an alkaline source phase into or through a toluene phase facilitated by the lipophilic crown ether carboxylic acid 2-(symdibenzo-16-crown-5-oxy)-decanoic acid is studied in liquid—liquid extraction, bulk liquid membrane transport, and emulsion liquid membrane transport. Most rapid transport was obtained in emulsion liquid membrane experiments. Some differences in selectivity orders for alkali metal permeation were observed for the three separation techniques.     

Die keimbildungskinetik im glasigen selen mit der beimischung des jods

The rate of crystallization of vitreous selenium containing 2 at.% of iodine was studied by calorimetric method in the temperature range 60–90°C. The obtained results satisfy an equation of Avrami. It was found that the exponential parameter z in this equation decreases as the temperature of crystallization increases. It was assumed in the discussion that the parameter z does not depend on the number of all processes occurring during nucleation. It depends only on slowly occurring processes. The increase of temperature probably causes a decrease of the number of slow processes and thus the value of the parameter z is diminished.The activation energy of crystallization is equal to $\text{E}{}_{\mathrm{kr}}\text{= 80}\text{kJ}\text{mol}$ with the standard deviation $\text{s}{}_{\mathrm{E}}\text{= 5.0}\text{kJ}\text{mol}$.     

X-ray microanalysis of 1.5-10 μm particles in metallurgical research

The importance of particle X-ray microanalysis for contemporary metallurgical research has been accentuated. Corrections in the formulae for the geometric modelling method and simplifications in the calculation procedure are introduced. Conditions for successful application of the peak to background ratio method were outlined. Besides these two methods related to isolated particles a new extrapolation method for matrix embedded particles is developed and comments to the particle weight fraction estimation method for the same kind of particles are given.     

Polyethylene/poly(styrene-co-divinylbenzene) sodium sulphonate membranes : Part 1. Synthesis and properties

Transport properties of cation-exchange membranes have been studied. The self-diffusion coefficients of sodium and chloride ions, the transport numbers of sodium ions and water, and the conductivities were measured in 0.1 M sodium chloride at 25°C. The concentration potentials were determined in the system 0.05/0.15 M sodium chloride.The membranes were prepared by sulphonation of oriented polyethylene (PE) film modified with 30 wt % of styrene—divinylbenzene copolymer (poly(St-co-DVB)). The copolymer was introduced by interpolymerization of the monomers within the film without its dissolution. A sequence of membranes having similar ion-exchange capacity but differing in water content was then obtained from sheets of normal PE/poly(St-co-DVB)SO₃Na membranes by expanding them by heating in water followed by a thermal treatment in air.The deviations of the measured transport properties from the behaviour of homogeneous membranes and the analysis of the Kedem—Katchalsky relationships for composite membranes have led to the conclusion that in PE/poly(St-co-DVB)SO₃Na membranes a structure prevails with a series arrangement of layers with different properties.