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1
Content available remote Algorithm for Pythagorean Fuzzy Multi-criteria Decision Making Based on WDBA with New Score Function
Peng Xindong
Fundamenta Informaticae
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2019
|
Vol. 165, nr 2
99--137
EN
In this paper, we initiate some new operators for Pythagorean fuzzy set and discuss their properties in detail. Then, a new score function of Pythagorean fuzzy number (PFN) is proposed for solving the failure problems when comparing two PFNs. Later, we present an algorithm for solving multi-criteria decision making (MCDM) problem based on Weighted Distance Based Approximation (WDBA). Finally, the effectiveness and feasibility of approach is demonstrated by some numerical examples. The salient features of the proposed method, compared to the existing Pythagorean fuzzy decision making methods, are (1) it can derive a ranking without the complex process; (2) it can obtain the optimal alternative without counterintuitive phenomena; (3) it has a great power in distinguishing the optimal alternative.
2
Content available The binary algorithm of cascade connection of nonlinear digital filters described in functional series
Siwczyński M., Żaba S.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2019
|
Vol. 67, nr 5
963--968
EN
The article presents an example of the use of functional series for the analysis of nonlinear systems for discrete time signals. The homogeneous operator is defined and it is decomposed into three component operators: the multiplying operator, the convolution operator and the alignment operator. An important case from a practical point of view is considered – a cascade connection of two polynomial systems. A new, binary algorithm for determining the sequence of complex kernels of cascade from two sequences of kernels of component systems is presented. Due to its simplicity, it can be used during iterative processes in the analysis of nonlinear systems (e.g. feedback systems).
3
Content available remote Digital filters: hermitian, antihermitian, unitary and their applications
Siwczyński M., Jaraczewski M.
Technical Transactions
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2017
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Vol. 1(114)
101--112
EN
The paper presents the relation between the three types of noncausal digital filters: unitary, Hermitian and antihermitian filters. A decomposition has been made of a causal filter into a Hermitian and unitary filter cascade, and the use of this decomposition to calculate the electric power quality of receivers has been highlighted. Reference has also been made to the analogy between the set of unitary filters and the unit circle in the Gaussian plane.
PL
W artykule podano związek między trzema typami nieprzyczynowych filtrów cyfrowych: filtrami unitarnymi, hermitowskimi i antyhermitowskimi. Dokonano też rozkładu filtru przyczynowego na kaskadę filtru hermitowskiego i unitarnego, oraz zwrócono uwagę na zastosowanie tego rozkładu do jakościowo-energetycznej oceny odbiorników energii elektrycznej. Nawiązano też do analogii zbioru filtrów unitarnych i okręgu jednostkowego na płaszczyźnie Gaussa.
4
Content available remote Minimalizacja wahań napięcia sieci elektrycznej w stanach przejściowych quasiharmonicznych
Siwczyński M., Drwal A., Żaba S.
Przegląd Elektrotechniczny
|
2017
|
R. 93, nr 10
146--148
PL
W artykule rozwiązano zagadnienie minimalizacji normy wahania napięcia rzeczywistego źródła energii elektrycznej, które zastępuje złożoną sieć zasilającą, uwzględniając również stany przejściowe. Stany te wywoływane są zmianami poboru mocy czynnej od strony odbiornika i kołysaniami sygnału napięcia źródłowego sieci. Użyto nowego aparatu matematycznego wynikłego z połączenia pojęcia ruchomej mocy czynnej i modulacji sygnałów harmonicznych.
EN
In the paper was solved the problem of minimizing the standard voltage fluctuations real source of electricity, which replaces a complex supply network, also taking into account transient states. These states are caused by changes in active power consumption from the receiver and signal rocking of voltage source network. It was used a new mathematical concepts resulting from the merger of moving active power and harmonic signals modulation.
5
Content available The optimal online control of the instantaneous power and the multiphase source’s current
Siwczyński M., Hawron K.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2017
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Vol. 65, nr 6
827--832
EN
The paper presents the new optimal real-time control algorithm of the power source. The minimum of the square-instantaneous current was assumed as an optimal criterion, with an additional constraint on source instantaneous power. The mathematical model of a multiphase source was applied as a voltage-current convolution in the discrete time domain. The resulting control algorithm was the recursive digital filter with infinite recursion.
6
Content available New discrete reactive power factor definition of the two-terminal network
Siwczyński M., Jaraczewski M.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2017
|
Vol. 65, nr 3
369--373
EN
This paper describes a new method of determining the reactive power factor. The reactive power factor herein is calculated on the basis of time samples and not] with the Fourier transform of signals, like it was done previously. The new reactive power factor calculation results from the receiver admittance-operator decomposition into the product of self-adjoint and unitary operators. This is an alternative decomposition to another one, namely into a sum of the Hermitian and skew-Hemiitian operators.
7
Content available Certain group dynamical systems induced by Hecke algebras
Cho I.
Opuscula Mathematica
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2016
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Vol. 36, no. 3
337--373
EN
In this paper, we study dynamical systems induced by a certain group [formula] embedded in the Hecke algebra H(Gp) induced by the generalized linear group Gp = GL2(Qp) over the p-adic number fields Qp for a fixed prime p. We study fundamental properties of such dynamical systems and the corresponding crossed product algebras in terms ol free probability on the Hecke algebra H(Gp).
8
Content available Energy-optimal current distribution in a complex linear electrical network with pulse or periodic voltage and current signals. Suboptimal control
Żaba S., Siwczyński M., Drwal A.
Measurement Automation Monitoring
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2016
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Vol. 62, No. 4
125--128
EN
In the circuits of electrical signals belonging to the L1-impulses space or periodic signals space, occurring there real distribution of electrical currents does not meet the principle of minimum energy losses [1, 2]. The solution to this problem is to introduce the control system as current-dependent voltage sources vector, entered into a meshes set of a complex RLC network. It has been shown that the control is energy-neutral (optimal control) [2]. For energy-optimal controlling, to obtain the control operator, the inversion of R(s) operator is required. It is the matrix operator and the dispersive operator (it depends on frequency). Inversion of such operators is inconvenient because it is algorithmically complicated. To avoid this, the operator R(s) is replaced by the R’ operator which is a matrix, but nondispersive one (does not depend on s). Such control is called the suboptimal control.
9
Content available Energy-optimal current distribution in a complex linear electrical network with pulse or periodic voltage and current signals. Optimal control
Siwczyński M., Żaba S., Drwal A.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2016
|
Vol. 64, nr 1
45--50
EN
The article presents that in the circuits of electrical signals belonging to the L1-impulses space or periodic signals space, real distribution of electrical currents occurs which does not meet the principle of minimum energy losses. The paper presents a solution of this problem by using the control system in the form of current-dependent voltage sources entering it into a meshes set of a complex RLC network. It has been shown that the control is energy-neutral.
10
Content available Resonant Breathing Biofeedback Training for Stress Reduction Among Manufacturing Operators
Sutarto A. P., Wahab M. N. A., Zin N. M.
International Journal of Occupational Safety and Ergonomics
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2012
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Vol. 18, No. 4
549--561
EN
The aim of this study was to examine the effect of resonant breathing biofeedback training for reducing stress among manufacturing operators. Resonant breathing biofeedback works by teaching people to recognize their involuntary heart rate variability and to control patterns of this physiological response. Thirty-six female operators from an electronic manufacturing factory were randomly assigned as the experimental group (n = 19) and the control group (n = 17). The participants of the intervention received 5 weekly sessions of biofeedback training. Physiological stress profiles and self-perceived depression, anxiety, and stress scale (DASS) were assessed at pre- and post-intervention. Results indicated that depression, anxiety, and stress significantly decreased after the training in the experimental group; they were supported by a significant increase in physiological measures. Overall, these results support the potential application of resonant biofeedback training to reduce negative emotional symptoms among industrial workers.
11
Content available Matrices related to some Fock space operators
Rudol K.
Opuscula Mathematica
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2011
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Vol. 31, no. 2
289-296
EN
Matrices of operators with respect to frames are sometimes more natural and easier to compute than the ones related to bases. The present work investigates such operators on the Segal-Bargmann space, known also as the Fock space. We consider in particular some properties of matrices related to Toeplitz and Hankel operators. The underlying frame is provided by normalised reproducing kernel functions at some lattice points.
12
Centra dystrybucyjne i logistyczne Pomorza Środkowego
Dyczkowska J.
Logistyka
|
2011
|
nr 6
PL
W artykule zostały przedstawione funkcje centrów logistycznych w łańcuchu dostaw i została podkreślona logistyczna infrastruktura portów Pomorza Środkowego – Darłowa i Kołobrzegu, która wpływa na konkurencyjność tego regionu. Artykuł pokazuje terminale operatorów logistycznych jako lokalne centra dystrybucyjne i co decyduje o wyborze operatora logistycznego w kontekście badań.
EN
The article shows the function of logistics centers in supply chain and emphasizes logistics infrastructure ports on Middle Pomerania –Darłowo and Kołobrzeg, which influence on competition these region. The article presents sorting plant of logistics operator as local, distribution center and what decided about choice logistics firm in the context research.
13
Content available remote On some operations on finite affine planes applied to the theory of regular configurations
Makowiecka H.
Demonstratio Mathematica
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2010
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Vol. 43, nr 1
167-185
EN
We consider some operations on affine planes which resemble the construction of a derived affine plane at a point of the Benz plane. We call them Benz-contractions (B-contractions) , distinguishing between chain contractions and generator contractions. We prove that the Pappos-Pascal configuration is the B-contraction of the affine plane of order 4 and we relate it to the Havlicek-Tietze configuration. We present a new (HT)o-configuration and research some problems of embeddability for (P-P), (H-T), and (HT)o. We propose a method of finding (n - 2) regular configurations on an arbitrary affine plane of order n. Among them are pairs of configurations with dual type and each such a pair can be completed with one point and n -f 1 lines to the initial plane. We prove that for an arbitrary n odd, the non-existence of the symmetric configuration ( n2-1/2, n+1/2) the non-existence of the projective plane of order n. On the basis of Gropp's article flOj, we solve some current problems concerning the existence of non-symmetric configurations with a natural index.
14
Content available Matrices defined by frames
Ambroziński Z., Rudol K.
Opuscula Mathematica
|
2009
|
Vol. 29, no. 4
365-375
EN
Matrix representations of bounded Hilbert space operators are considered. The matrices in question are defined with respect to frames, rather than bases. The frames, a generalisation of bases, used extensively in applied harmonic analysis, are overcomplete sequences. We consider some properties related to tight frames, where, up to some multiplicative constant, a form of Parseval Identity takes place. We also describe parts of spectra of operators in terms of their matrices.
15
Content available remote Second order evolution problem with dependent on t and not densely defined operators
Winiarska T.
Demonstratio Mathematica
|
2009
|
Vol. 42, nr 3
513-520
EN
The purpose of this paper is to present some theorems on existence and uniqueness of solution for nonautonomous second order Cauchy problem with a dumping operator and with dependent on t not densely defined operators.
16
Content available remote On preserves on singularity and nonsingularity of matrices
Kalinowski J.
Demonstratio Mathematica
|
2009
|
Vol. 42, nr 4
681-685
EN
Operators preserving singularity and nonsingularity of matrices were studied in paper of P. Botta under the assumption that operators are linear. In the present paper the linearity of operators is not assumed: we only assume that operators are of the form T = (fi,j), wherei,j : K -> K and K is a field, i,j is an element of {1,2,...,n}. If n > 3, then in the matrix space Mn(K] operators preserving singularity and nonsingularity of matrices must be as in paper of P. Botta. If n < 2, operators may be nonlinear. In this case the forms of the operators are presented.
17
Content available remote Direct theorems for modified Basakov operators in Lp-spaces
Maheshwari P.
Demonstratio Mathematica
|
2009
|
Vol. 42, nr 3
553-565
EN
In the year 1993, Gupta and Srivastava [3] introduced the integral modication of the well known Basakov operators by taking the weight functions of Szasz basis function, so called Baskakov-Szasz operators. To prove our one of the direct theorems, we use the technique of a mathematical tool which is the linear approximating method and is known as the Steklov means.
18
Content available remote Strong convergence of an implicit iteration process for a finite family of quasi-contractive operators
Rafiq A.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 1
203-208
EN
The purpose of this paper is to establish a strong convergence of an implicit iteration process to a common fixed point for a finite family of quasi-contractive operators. Our theorems give an armative response to a question raised by [Xu and Ori, Numer. Funct. Anal. Optim. 22 (2001) 767-773 ].
19
Content available remote Horizontal and complete lift of Fa(K,1)-structure in the tangent bundle
Prasad C., Chauhan P.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 2
441-448
EN
Prasad and Gupta [2] have obtained the integrability conditions of a structure satisfying FK -a2F = 0. The complete lift of Flambda-structure in tangent bundle was studied by Awasthi and Gupta [1]. In the present paper, we have studied the horizontal & complete lifts of Fa(K, 1)-structure in the tangent bundle.
20
Content available remote The superposition operator for vector-valued functions on a noncompact interval
Dronka J., Olszowy L.
Demonstratio Mathematica
|
2006
|
Vol. 39, nr 2
411-418
EN
In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a noncompact interval is considered. Acting conditions and criteria of continuity and compactness are established. As an application, an existence result for the nonlinear Hammerstein integral equation in this space is obtained.
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