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Tytuł:
Multi - criteria decision making using fuzzy preference relations
Autorzy:
Borzęcka, H.
Powiązania:
https://bibliotekanauki.pl/articles/406292.pdf
Data publikacji:
2012
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
fuzzy sets
optimization
Pareto-optimal set
Opis:
When dealing with multi-criteria decision making problems, the concept of Pareto-optimality and Pareto-dominance may be inefficient (e.g. generally multiple solutions exist), especially when there is a large number of criteria. Our paper considers the fuzzy multi-criteria decision making problem based on Zadeh’s linguistic approach to P-optimality and P-dominance. The construction, analysis and application of a model of multi-criteria decision making using a fuzzy preference relation are considered. The paper is dedicated to the problem of modeling preferences in terms of fuzzy binary relations and provides an introduction to the important problem of forming fuzzy preference relations to analyze models of multi-attribute decision making. The key features of the multi-criteria evaluation, comparison, choice and ordering of alternatives in a fuzzy environment using fuzzy preference relations have been introduced.
Źródło:
Operations Research and Decisions; 2012, 22, 3; 5-21
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pareto optimal control problem and its Galerkin approximation for a nonlinear one-dimensional extensible beam equation
Autorzy:
Just, A.
Stempień, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255243.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nonlinear beam equation
Pareto optimal control
Galerkin approximation
Opis:
Our goal is to study the Pareto optimal control system for a nonlinear one-dimensional extensible beam equation and its Galerkin approximation. First we consider a mathematical model of the beam equation which was obtained by S. Woinowsky-Krieger in 1950. Next we consider the Pareto optimal control problem based on this equation. Further, we describe the approximation of this system. We use the Galerkin method to approximate the solution of this control problem with respect to a spatial variable. Based on the standard finite dimensional approximation we prove that as the discretization parameters tend to zero then the weak accumulation point of the solutions of the discrete optimal control problems exist and each of these points is the solution of the original Pareto optimal control problem.
Źródło:
Opuscula Mathematica; 2016, 36, 2; 239-252
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optymalizacja konstrukcji pojemnościowego ogrzewacza wody
Optimization of a storage water heater construction
Autorzy:
Chamera, S.
Maciejewski, I.
Krzyżyński, T.
Powiązania:
https://bibliotekanauki.pl/articles/153778.pdf
Data publikacji:
2011
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
optymalizacja
rozwiązanie Pareto-optymalne
energooszczędność
optimization
Pareto optimal solution
energy saving
Opis:
W artykule przedstawiono optymalizację elementów konstrukcji pojemnościowego ogrzewacza wody. Kryteria optymalizacji to minimalizacja zużycia energii oraz kosztów materiałowych elementów konstrukcyjnych ogrzewacza, decydujących o zużyciu energii. Rozwiązania Pareto-optymalne przedstawione są w postaci punktów, które decydują o wartościach pięciu zmiennych decyzyjnych. Przedstawiony algorytm optymalizacyjny może posłużyć do wspomagania konstruowania optymalnych w sensie kosztów wytworzenia i energooszczędności pojemnościowych urządzeń grzewczych.
The paper presents optimization of elements in a storage water heater construction. Two optimization criteria are taken into account: energy saving and minimum costs of materials, used in the construction of a water heater. The construction elements used in a heater have significant influence on the value of energy consumption. Basic construction elements of the storage water heater are shortly described. Fundamental physical and mechanical properties of selected materials used in a thermal insulation of the heaters are shown. The optimization task is delineated and an object of the optimization is also schematically presented. Additionally, the paper contains a mathematical model of the optimization and a range of decision variables. The Pareto-optimal solution points are calculated. These points decide on the values of five decision variables. When designing the storage water heater appliances, these optimization algorithms can be used to get the optimal material costs and energy saving. The paper is strictly focused on the cost of the materials used, not the cost of the heater manufacturing itself. Additional costs can be added by processing the considered material, for example polyurethane foam or by performing foamed polystyrene molders - properly to heater dimensions. The scale of additional costs surely depends on an output volume and technical capacities of a manufacturing plant - for example the size of machine park. Additional costs related to specific construction materials can be analyzed in other, individual consideration.
Źródło:
Pomiary Automatyka Kontrola; 2011, R. 57, nr 11, 11; 1425-1427
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality conditions in multiobjective programming problems with interval valued objective functions
Autorzy:
Ahmad, I.
Singh, D.
Dar, B. A.
Powiązania:
https://bibliotekanauki.pl/articles/206566.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
interval valued functions
gH-differentiablity
Pareto optimal solutions
pseudoconvexity
KKT optimality conditions
Opis:
We devote this paper to study of multiobjective programming problems with interval valued objective functions. For this, we consider two order relations LU and LS on the set of all closed intervals and propose several concepts of Pareto optimal solutions and generalized convexity. Based on generalized convexity (viz. LU and LS-pseudoconvexity) and generalized differentiability (viz. gHdifferentiablity) of interval valued functions, the KKT optimality conditions for aforesaid problems are obtained. The theoretical development is illustrated by suitable examples.
Źródło:
Control and Cybernetics; 2015, 44, 1; 19-45
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
How Quantum Prisoner’s Dilemma Can Support Negotiations
Autorzy:
Szopa, Marek
Powiązania:
https://bibliotekanauki.pl/articles/430038.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet w Białymstoku. Wydawnictwo Uniwersytetu w Białymstoku
Tematy:
game theory
quantum game
prisoner’s dilemma
Nash equilibrium
Pareto optimal solutions
Opis:
Decision-making by the two negotiating parties is simulated by a prisoner’s dilemma game. The game is formulated in a quantum manner, where players strategies are unitary transformations of qubits built over the basis of opposite decision options. Quantum strategies are correlated through the mechanism of quantum entanglement and the result of the game is obtained by the collapse of the resulting transformed state. The range of strategies allowed for quantum players is richer than in case of a classical game and therefore the result of the game can be better optimized. On the other hand, the quantum game is save against eavesdropping and the players can be assured that this type of quantum arbitration is fair. We show that quantum prisoner’s dilemma has more favorable Nash equilibria than its classical analog and they are close to the Pareto optimal solutions. Some economical examples of utilizing quantum game Nash equilibria are proposed.
Źródło:
Optimum. Economic Studies; 2014, 5(71)
1506-7637
Pojawia się w:
Optimum. Economic Studies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of poli-criterial linearization for control problem of stochastic dynamic systems
Zastosowanie wielokryterialnej linearyzacji w problemie sterowania stochastycznych nieliniowych układów dynamicznych
Autorzy:
Socha, L.
Powiązania:
https://bibliotekanauki.pl/articles/279864.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Stochastic control of nonlinear systems
LQG control problem
stochastic linearization
Pareto optimal solution
Opis:
The problem of the determination of response characteristics and quasi-optimal control for nonlinear stochastic dynamic systems by using a multi-criteria linearization technique is presented in this paper. This idea was first introduced in previous author's paper (Socha, 1999a) for a simple dynamic system. In this paper, it is extended, and detailed analysis is given for a nonlinear oscillator with Gaussian external excitations and for a few criteria of statistical linearization. The obtained results are illustrated by a numerical example for Duffing's oscillator.
W pracy przedstawiono problem wyznaczania quasi-optymalnego sterowania w nieliniowych stochastycznych układach dynamicznych za pomocą wielokryterialnej metody linearyzacji stochastycznej. Pomysł wielokryterialnej linearyzacji został zasygnalizowany we wcześniejszej pracy autora (Socha, 1999a). W niniejszym artykule jest on rozwinięty i zastosowany do problemu sterowania, a szczegółowa analiza jest przeprowadzona dla nieliniowego oscylatora z addytywnym wymuszeniem Gaussa.
Źródło:
Journal of Theoretical and Applied Mechanics; 2005, 43, 3; 675-693
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On localizing global Pareto solutions in a given convex set
Autorzy:
Drwalewska, Agnieszka
Gajek, Lesław
Powiązania:
https://bibliotekanauki.pl/articles/1338686.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
sufficient and necessary conditions for optimality
Pareto optimal solutions
dual cones
feasible directions
Opis:
Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing with respect to the cone generating the preference relation.
Źródło:
Applicationes Mathematicae; 1999, 26, 4; 383-394
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Projektowanie rynków w oparciu o algorytmy kojarzenia
Market design by matching algorithms
Autorzy:
Szopa, Marek
Powiązania:
https://bibliotekanauki.pl/articles/591646.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Pareto optymalność
Rynki kojarzenia
Stabilne dopasowanie
Wymiana nerek
Kidney exchange
Matching markets
Pareto optimal
Stable matching
Opis:
W pracy przedstawiono teorię stabilnego dopasowania algorytmu odroczonej akceptacji (AOA) oraz algorytmy TTC i TTCC wraz z ich zastosowaniami do np. kojarzenia uczelni i studentów, domów i właścicieli czy dawców i biorców nerek do przeszczepu. Dzięki tym algorytmom można projektować tzw. rynki kojarzenia, dla których optymalna alokacja dóbr jest możliwa bez wykorzystania mechanizmów finansowych charakterystycznych dla rynków towarowych. Omówiono właściwości algorytmów kojarzenia, m.in. ich stabilność, Pareto optymalność i odporność na manipulacje, oraz cechy algorytmu TTCC, dzięki którym krzyżowe transplantacje można zastąpić łańcuchowymi, co dzięki osiągnięciu głębszego rynku, pozwala na bardziej optymalne wykorzystanie nerek do przeszczepu.
The paper presents the theory of stable allocations of deferred acceptance algorithms (DAA), as well as TTC and TTCC algorithms together with their applications to matching, e.g. universities and students, homes and owners or donors and transplant patients. These algorithms design so-called matching markets, for which optimal allocation of goods is possible without the use of financial mechanisms specific to commodity markets. Discussed are properties of matching algorithms: their stability, Pareto’s optimality and resistance to manipulation. The TTCC algorithm allows to replace the pairwise exchange by the chain exchange transplantations, which due to the thickness of market improve match quality of transplanted kidneys.
Źródło:
Studia Ekonomiczne; 2018, 364; 167-184
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spacecraft attitude fault tolerant control based on multi-objective optimization
Autorzy:
Moradi, Rouzbeh
Alikhani, Alireza
Fathi Jegarkandi, Mohsen
Powiązania:
https://bibliotekanauki.pl/articles/1839618.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
active fault-tolerant control
spacecraft attitude control
finite time convergence
Pareto-optimal set
Opis:
An active fault tolerant controller is designed for the attitude control of a faulty spacecraft. Feedback linearization and Lyapunov’s direct method are used to solve angular velocity equations and to ensure convergence of the system outputs to reference inputs, respectively. In order to ensure finite time convergence, final time constraints are proposed. Three con- structive objective functions are considered as performance measures and optimized using multi-objective optimization. The results show that the outputs converge to the reference attitudes, even for severe actuator faults/failures.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 4; 983-996
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The optimal design of fractional sliding mode control based on multi-objective genetic algorithms for a two-link flexible manipulator
Autorzy:
Pouya, M.
Pashaki, P. V.
Powiązania:
https://bibliotekanauki.pl/articles/102531.pdf
Data publikacji:
2017
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
fractional calculations
sliding mode control
two-link flexible manipulator
Pareto optimal
genetic algorithm
Opis:
In this paper a novel optimal approach of control strategy is introduced by applying fractional calculus in the structure of sliding mode control for a range of dynamics system liable to ambiguity. So, a fractional sliding mode control was designed for dynamics of the two-link rigid-flexible manipulator. Furthermore, a multi-objective genetic algorithm was proposed in order to find the ideal variable structure of the sliding mode control. Optimal variables were achieved by the optimization of the conventional sliding mode control. Then the performance of both the conventional and the fractional sliding mode control were compared with respect to optimal variables. Results indicated that by applying the optimized fractional sliding mode control, the system’s error was significantly reduced consequently tracking the desired value was done with a higher degree of accuracy and a smoother control action was achieved.
Źródło:
Advances in Science and Technology. Research Journal; 2017, 11, 3; 56-65
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of Pareto-Optimal Radar Receive Filters
Autorzy:
De Maio, A.
Piezzo, M.
Iommelli, S.
Farina, A.
Powiązania:
https://bibliotekanauki.pl/articles/227067.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
radar receive filter design
mismatched filte
design
multi-objective optimization problem
Pareto-optimal points
Opis:
This paper deals with the design of radar receive filters jointly optimized with respect to sidelobe energy and sidelobe peaks via Pareto-optimal theory. We prove that this criterion is tantamount to jointly minimizing two quadratic forms, so that the design can be analytically formulated in terms of a multi-objective optimization problem. In order to solve it, we resort to the scalarization technique, which reduces the vectorial problem into a scalar one using a Pareto weight defining the relative importance of the two objective functions. At the analysis stage, we assess the performance of the receive filters in correspondence of different values of the Pareto weight highlighting the performance compromises between the Integrated Sidelobe Level (ISL) and the Peak Sidelobe Level (PSL).
Źródło:
International Journal of Electronics and Telecommunications; 2011, 57, 4; 477-481
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The stability radius of an efficient solution in minimax Boolean programming problem
Autorzy:
Emelichev, V. A.
Krichko, V. N.
Nikulin, Y. V.
Powiązania:
https://bibliotekanauki.pl/articles/970431.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
analiza wrażliwości
promień stabilny
programowanie Boole'a
rozwiązanie optymalne Pareto
sensitivity analysis
stability radius
Boolean programming
Pareto optimal solution
Opis:
We consider a vector minimax Boolean programming problem. The problem consists in finding the set of Pareto optimal solutions. When the problem's parameters vary then the optimal solution of the problem obtained for some initial parameters may appear non-optimal. We calculate the maximal perturbation of parameters which preseves the Optimality of a given solution of the problem. The formula for the stability radius of the given Pareto optimal solution was obtained.
Źródło:
Control and Cybernetics; 2004, 33, 1; 127-132
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Redukcja hałasu w pomieszczeniu z zaburzeniem wibroakustycznym poprzez optymalny rozkład materiału dźwiękochłonnego
Noise reduction in a room with vibroacoustic disturbance by the optimal absorptive material distribution
Autorzy:
Błażejewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/153480.pdf
Data publikacji:
2012
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
akustyka
amplitudy modalne
optymalizacja
algorytmy genetyczne
zbiór rozwiązań Pareto-optymalnych
acoustics
modal amplitudes
optimization
genetic algorithms
Pareto-optimal set
Opis:
Praca dotyczy zagadnienia rozmieszczenia porowatego materiału absorbującego o zespolonej impedancji akustycznej na brzegach obszaru (pomieszczenia), w którym umieszczone zostało harmoniczne źródło wibroakustyczne. Uproszczony model rozkładu ciśnienia akustycznego w pomieszczeniu uzyskano stosując analizę modalną. Do rozwiązania problemu optymalizacji wykorzystano algorytm genetyczny. Połączenie uproszonego modelu oraz algo-rytmu genetycznego, pozwala na znaczne szybsze i mniej kosztowne obliczeniowo, uzyskiwanie wyników optymalizacji, w postaci rozkładu materiału absorpcyjnego w pomieszczeniu.
In the paper a problem how to properly influence an acoustic field in the enclosure with a Vibro-acoustical source [1] inside is considered. Particularly, optimization of the configuration of an acoustic absorber, i.e. porous material characterized by a complex impedance on the boundary, is presented [2]. The combination of the modal approach to modeling of the room acoustic field and the artificial intelligence methods to the optimization is a new attitude to the problem. In order to describe the acoustic pressure distribution inside the enclosure, the modal analysis with modal coupling was applied and presented in Section 2. In this case the acoustic pressure distribution in the room is a sum over a set of the room eigenfunctions and proper time components i.e. modal amplitudes [2, 3]. The formulae describing these amplitudes were obtained and eventually introduced into the multi-objective function definition [2, 4] in Section 3. The acoustic impedances on the room boundaries correlated with the material thickness were selected as design variables. In order to solve the optimization problem defined in Section 3 directly, a genetic algorithm was applied. The non-dominated solutions were searched in the process [2, 4, 5, 6]. The main ingredients of the algorithm and its settings are described in Section 4. In Section 5 the example object (room) is specified and shown in detail in Tab. 1. Applying a specific acoustic absorber on the boundary [2, 7], the room with the harmonic source was modified according to the optimization method. As the result, the set of the Pareto-optimal solutions was obtained (see Fig. 1). One solution of the Pareto set was selected and corresponding, particular boundaries covering with the acoustic absorber are shown in Fig. 2. Last, the model accuracy and the optimization results, i.e. noise reduction, are presented in Figs. 3a and 3b. The result verification was performed by comparison with the acoustic measurements (see Figs. 3c and 3d).
Źródło:
Pomiary Automatyka Kontrola; 2012, R. 58, nr 6, 6; 536-539
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of monotonicity properties of some rule interestingness measures
Autorzy:
Greco, S.
Słowiński, R.
Szczęch, I.
Powiązania:
https://bibliotekanauki.pl/articles/1839193.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
association rules
Piatetsky-Shapiro's rule interest function
gain measure
dependency factor
anti-support
Pareto-optimal border
Opis:
One of the crucial problems in the field of knowledge discovery is development of good interestingness measures for evaluation of the discovered patterns. In this paper, we consider quantitative, objective interestingness measures for "if..., then... " association rules. We focus on three popular interestingness measures, namely rule interest function of Piatetsky-Shapiro, gain measure of Fukuda et al., and dependency factor used by Pawlak. We verify whether they satisfy the valuable property M of monotonic dependency on the number of objects satisfying or not the premise or the conclusion of a rule, and property of hypothesis symmetry (HS). Moreover, analytically and through experiments we show an interesting relationship between those measures and two other commonly used measures of rule support and anti-support.
Źródło:
Control and Cybernetics; 2009, 38, 1; 9-25
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of multi-objective fruit fly optimisation algorithm based on population Manhattan distance in distribution network reconfiguration
Autorzy:
Tang, Minan
Zhang, Kaiyue
Wang, Qianqian
Cheng, Haipeng
Yang, Shangmei
Du, Hanxiao
Powiązania:
https://bibliotekanauki.pl/articles/1841286.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Chebyshev chaotic mapping
distributed generation
distribution network reconfiguration
fuzzy decision method
Pareto optimal
pmdMOFOA
population Manhattan distance
Opis:
In order to optimise the operation state of the distribution network in the presence of distributed generation (DG), to reduce network loss, balance load and improve power quality in the distribution system, a multi-objective fruit fly optimisation algorithm based on population Manhattan distance (pmdMOFOA) is presented. Firstly, the global and local exploration abilities of a fruit fly optimisation algorithm (FOA) are balanced by combining population Manhattan distance (PMD) and the dynamic step adjustment strategy to solve the problems of its weak local exploration ability and proneness to premature convergence. At the same time, Chebyshev chaotic mapping is introduced during position update of the fruit fly population to improve ability of fruit flies to escape the local optimum and avoid premature convergence. In addition, the external archive selection strategy is introduced to select the best individual in history to save in external archives according to the dominant relationship amongst individuals. The leader selection strategy, external archive update and maintenance strategy are proposed to generate a Pareto optimal solution set iteratively. Lastly, an optimal reconstruction scheme is determined by the fuzzy decision method. Compared with the standard FOA, the average convergence algebra of a pmdMOFOA is reduced by 44.58%. The distribution performance of non-dominated solutions of a pmdMOFOA, MOFOA, NSGA-III and MOPSO on the Pareto front is tested, and the results show that the pmdMOFOA has better diversity. Through the simulation and analysis of a typical IEEE 33-bus system with DG, load balance and voltage offset after reconfiguration are increased by 23.77% and 40.58%, respectively, and network loss is reduced by 57.22%, which verifies the effectiveness and efficiency of the proposed method.
Źródło:
Archives of Electrical Engineering; 2021, 70, 2; 307-323
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
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