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Tytuł:
Country Market Selection in International Expansion Using Multicriteria Decision Aiding Methods
Autorzy:
Górecka, Dorota
Szałucka, Małgorzata
Powiązania:
https://bibliotekanauki.pl/articles/578502.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Metody statystyczne
Pozycja przedsiębiorstwa na rynku
Rynki międzynarodowe
Business strength
International market
Statistical methods
Opis:
Companies, facing globalization and technological revolution, are constantly forced to search for new ways to grow and develop. A profitable growth strategy can be built through international expansion. Recently it has become one of the few effective ways to develop and enhance the competitiveness of a company in response to the changing dynamics of the global economy. When a company is expanding its business operations to overseas markets a number of strategic decisions must be taken. The company must define the product it wants to market (what), the country market it wants to enter (where), the timing of entry (when) and the entry mode it wants to use (how). Consequently, the country market selection plays a critical role in shaping the performance of foreign activities and influences the future success of the company. This is a complex and difficult decision, requiring the company to analyse a wide spectrum of factors that affect both investment efficiency and effectiveness. The location selection in international expansion may be determined by general macroeconomic factors, demand factors, socio-political factors or cost factors. The purpose of this paper is to conduct a simulation of the market selection decision with the help of multi-criteria decision aiding methods based on the perspective of a dynamically developing company that is a leading manufacturer and distributor of hygiene, cosmetic and medical products.
Źródło:
Multiple Criteria Decision Making; 2013, 8; 32-55
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A new multicriteria decision support tool based on fuzzy SWARA and TOPSIS
Autorzy:
Brahmi, Hichem
Moalla, Taicir Loukil
Powiązania:
https://bibliotekanauki.pl/articles/2028005.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
3PL suppliers
Fuzzy SWARA
Multicriteria decision support
TOPSIS
Opis:
The problem of selecting 3PL (Third Party Logistics) suppliers is a major issue in the management of the supply chain and the improvement of the production management of a manufacturing company. A 3PL supplier can be defined as a company that provides contract logistics services to a manufacturer, supplier or main user of a product or service. It is called a third party because the logistics provider does not own the products but participates in the supply chain between the manufacturer and the user of a given product. In actual cases, several decision-makers intervene in the selection of 3PL suppliers and each one has his own points of view and wishes to take into account criteria which are not generally the same for all the decision-makers. Furthermore, the criteria have different weights. In this study, we propose a method to solve this problem. It consists of a combination of the fuzzy Stepwise Weight Assessment Ratio Analysis (SWARA) method with the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS). The objective is to optimize the decision-making process and have another, more dynamic model and satisfy the needs of the decision-maker. Fuzzy SWARA is one of the new methods being used for ranking evaluation criteria based on decision makers’ expected degree of importance to determine the weights of evaluation criteria (Selçuk, 2019). This method can be used to facilitate estimation of decision makers’ preferences regarding the meaning of attributes in the weight determination process. TOPSIS is a multi-criteria method for identifying solutions from a finite set of alternatives (Behzadian et al., 2012). To the best of our knowledge, this combination has not been developed in the literature, especially in the third-party logistic problems. The proposed model will be implemented to solve a 3PL problem of a company selling steel products.
Źródło:
Multiple Criteria Decision Making; 2021, 16; 5-22
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The multicriteria group decision making flowsort method under uncertainty
Autorzy:
Remadi, Fedia Daami
Moalla Frikha, Hela
Powiązania:
https://bibliotekanauki.pl/articles/2027995.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Intuitionistic fuzzy set
FlowSort method
Multicriteria group decision making
Sorting problematic
Opis:
Crisp values are insufficient to model real-life situations and imprecise ideas are frequently represented in multicriteria decision aid analysis. In fact, it is difficult to treat the evaluation criteria precisely and to fix exact preferences rating. The triangular intuitionistic fuzzy numbers succeeded to treat this kind of ambiguity in a great deal of research than other forms of fuzzy representation functions. The field of sorting issues is an active research topic in the multiple criteria decision aid (MCDA). This study extended one of the sorting methods, FLOWSORT, for solving multiple criteria group decision-making problems. This extension described the preferences rating of alternatives as linguistic terms which can be easily expressed in triangular intuitionistic fuzzy numbers. To validate our extension, an illustrative example as well as an empirical comparison with other multi-criteria decision making methods is presented.
Źródło:
Multiple Criteria Decision Making; 2021, 16; 122-139
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An intuitionistic fuzzy extension of the codas-sort method
Autorzy:
Ouhibi, Abir
Moalla Frikha, Hela
Powiązania:
https://bibliotekanauki.pl/articles/2027996.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
CODAS-SORT
Intuitionistic fuzzy set
Multicriteria decision aid
Sorting methods
Opis:
Currently, an important issue in multi-criteria decision-making (MCDM) problems are vagueness and lack of precision of decision-making information because of insufficient data and incapability of the decision maker to process the information. Intuitionistic fuzzy sets (IFS) are a solution to eliminate the vagueness and the uncertainty. While fuzzy sets (FS) deal with ambiguity and vagueness problem, IFSs have more advantages. Moreover, the CODAS-SORT method cannot handle the uncertainty and ambiguity of information provided by human judgments. The aim of this study is to develop an IF extension of CODAS-SORT combining this method with the IFS theory. To achieve this, we use the fuzzy weighted Euclidean distance and fuzzy weighted Hamming distance instead of the crisp distances. A case study of a supplier selection assessment is used to clarify the details of our proposed method.
Źródło:
Multiple Criteria Decision Making; 2021, 16; 110-121
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Fuzzy Multicriteria Approach for the Trading Systems on the Forex Market
Autorzy:
Juszczuk, Przemysław
Kruś, Lech
Powiązania:
https://bibliotekanauki.pl/articles/578475.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Trading
Wielokryterialne podejmowanie decyzji
Zbiory rozmyte
Fuzzy sets
Multicriteria decision making
Opis:
The paper relates to the trading systems supporting traders ma- king decision on the forex market. Typical trading systems using tech- nical analysis generate a buy or sell signal when the technical indicator crosses a given oversell or overbought levels. The paper extends the approach in which the above strict crisp conditions are replaced by fuzzy relations. The indicators are treated not independently as it is in the typical systems but jointly. Currency pairs are compared in the muliticriteria space in which each criterion is dened by a membership function referring to a given indicator. New formulations of the mem- bership functions for dierent indicators are proposed. General ideas of the algorithm generating non-dominated alternatives in the multi- criteria space are presented. The algorithm has been implemented in an experimental system. Computational results for dierent time win- dows using real-world data from the forex market are presented and discussed.
Źródło:
Multiple Criteria Decision Making; 2019, 14; 29-43
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
O regule decyzyjnej wspierającej wielokryterialne poszukiwanie optymalnej strategii czystej w warunkach niepewności
On a Decision Rule for Searching an Optimal Pure Strategy in Uncertain Multicriteria Decision Making
Autorzy:
Gaspars-Wieloch, Helena
Powiązania:
https://bibliotekanauki.pl/articles/588018.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Niepewność
Planowanie scenariuszowe
Strategia czysta
Wielokryterialne podejmowanie decyzji
Współczynnik optymizmu
Coefficient of optimism
Multicriteria decision making
Pure strategy
Scenario planning
Uncertainty
Opis:
W pracy opisano propozycję nowego podejścia, które można wykorzystać w wielokryterialnym podejmowaniu decyzji w przypadku poszukiwania optymalnej strategii czystej w warunkach niepewności (decydent nie zna bądź nie zamierza skorzystać z informacji o prawdopodobieństwie wystąpienia poszczególnych stanów natury). Prezentowana reguła decyzyjna poprzedzona jest etapem prognostycznym, w ramach którego brane jest pod uwagę nastawienie decydenta do ryzyka (rozumianego jako możliwość uzyskania niekorzystnej wypłaty) mierzone współczynnikiem optymizmu. Etap ten służy do wyłonienia najbardziej „prawdopodobnego” (tj. odzwierciedlającego naturę decydenta) scenariusza bądź zbioru najbardziej „prawdopodobnych” scenariuszy i ma na celu zawężenie pierwotnej macierzy wypłat, na podstawie której wybierana jest najlepsza decyzja. Procedura odwołuje się do planowania scenariuszowego i do metody SF+AS (ang. Scenario Forecasting + Alternative Selection Method) przedstawionej w innym artykule i znajdującej zastosowanie w jednokryterialnych problemach decyzyjnych.
The author describes a new approach which may be used in uncertain multicriteria decision making with scenario planning to searching an optimal pure strategy. The decision maker does not know the likelihood of particular scenarios. The decision rule is supported by a forecasting stage within which scenarios reflecting the decision maker’s attitude towards risk (understood as a possibility that some bad circumstances might happen) are selected. The nature of the decision maker is measured by the coefficient of optimism. Hence, the final strategy is chosen on the basis of a reduced aggregated payoff matrix. The procedure refers to SAW (Simple Additive Weighting Method) and to SF+AS method (Scenario Forecasting + Alternative Selection Method), presented in an other paper and devoted to one-criterion decision problems.
Źródło:
Studia Ekonomiczne; 2015, 248; 42-61
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A decision rule for uncertain multicriteria mixed decision making based on the coefficient of optimism
Autorzy:
Gaspars-Wieloch, Helena
Powiązania:
https://bibliotekanauki.pl/articles/578578.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Modele optymalizacyjne
Niepewność
Optymalizacja wielokryterialna
Planowanie scenariuszowe
Podejmowanie decyzji w warunkach niepewności
Wielokryterialne podejmowanie decyzji
Decision making under uncertainty
Multiple criteria optimization
Multiple-criteria decision making
Optimizing models
Scenario planning
Uncertainty
Opis:
This paper is devoted to multicriteria decision making under uncertainty with scenario planning. This topic has been explored by many researchers since almost all real-world decision problems contain multiple conflicting criteria and a deterministic criteria evaluation is often impossible. We propose a procedure for uncertain multi-objective optimization which may be applied when a mixed strategy is sought after. A mixed strategy, as opposed to a pure strategy, allows the decision maker to select and perform a weighted combination of several accessible alternatives. The new approach takes into account the decision maker’s preference structure and attitude towards risk. This attitude is measured by the coefficient of optimism on the basis of which a set of the most probable events is suggested and an optimization problem is formulated and solved.
Źródło:
Multiple Criteria Decision Making; 2015, 10; 32-47
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multicriteria Evaluation of Pipe Organ Construction Projects
Autorzy:
Trzaskalik-Wyrwa, Małgorzata
Wyrwa, Ireneusz
Powiązania:
https://bibliotekanauki.pl/articles/578550.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Konstrukcja organów piszczałkowych
Projekt dźwiękowy organów piszczałkowych
Wielokryterialny problem decyzyjny
Pipe organ construction
Pipe organ sound project
Multicriteria decision problem
Opis:
The construction of a pipe organ is a heterogeneous problem. Each interior, for which the instrument is planned, has its individual architectural and acoustic characteristics. The design of the instrument must be matched to the interior and therefore it will be individual and usually unique. Each investor commissioning a pipe organ also has his/her individual taste, preferences, and budget. These most important factors make the construction of a pipe organ a sum of the various relationships and a result of the willingness to compromise between objective factors and preferences of people. This paper presents the issue as a multiobjective task, in which we consider various criteria, such as size, volume, palette of timbres, etc., and show how the various options are presented to the investor. Will the best designers' solution be accepted by the investor and his/her budget? We should handle the various criteria so as to satisfy the investor without compromising the quality of the instrument.
Źródło:
Multiple Criteria Decision Making; 2014, 9; 140-150
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hierarchical Structuring for the Olive Trees Irrigation Problem in Tunisia
Autorzy:
Daoud Ben Amor, Wiem
Moalla Frikha, Hela
Powiązania:
https://bibliotekanauki.pl/articles/578499.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Analytic Hierarchy Process
Entropia Shannona
Nawadnianie drzew oliwnych
Niepewność
Wielokryterialna pomoc decyzyjna
Incertitude
Multicriteria decision aid
Olive trees irrigation
Shannon’s Entropy
Opis:
The problem of choosing the best type of water for the irrigation of olive trees is one of the decisions that have a crucial impact on the water resource management. To solve this problem, we propose a multi-expert approach, implying several quantitative and qualitative criteria and combining the AHP method and Shannon’s entropy probability method. First, we use the AHP method to calculate all criteria weights for the various hierarchical levels as well as weights of the alternatives. Using the results obtained, we rank the types of water according to four experts. However, the data supplied by the experts are contradictory. We therefore combine these results according to the experts’ importance. We used Shannon’s entropy to determine the importance degree of each expert, to aggregate the results. The proposed approach showed that using well water was selected as the best for irrigation. Reuse of treated wastewater was classified as second, followed by desalinated brackish water and, next, by desalinated seawater.
Źródło:
Multiple Criteria Decision Making; 2018, 13; 29-55
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multicriteria Approach to Environmental Decision-Making in a Company - a Path Goal Programming Application
Autorzy:
Kuchta, Dorota
Urbańska, Justyna
Powiązania:
https://bibliotekanauki.pl/articles/578481.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Analiza wielokryterialna
Ochrona środowiska
Podejmowanie decyzji
Społeczna odpowiedzialność biznesu
Zarządzanie środowiskiem
Corporate Social Responsibility (CSR)
Decision making
Environmental management
Environmental protection
Multicriteria analysis
Opis:
In the paper we propose a practical application of the path goal programming approach, by which we understand a goal programming approach with goals being not numbers, but paths in networks. This method, with goal paths corresponding to desired schedules of environmental investment implementation, is used for the environmental decision-making in a selected company. The company has to introduce some investments aimed at natural resources reduction. However, not all the required investments can be realized in one budgeting period, because of budget constraints. The desired compromise schedule of investment realization has to be worked out. This schedule becomes the goal. The path goal programming method helps to reduce the undesired deviations from the goal schedule.
Źródło:
Multiple Criteria Decision Making; 2013, 8; 101-113
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optymalizacja wielokryterialna decyzji w zagadnieniach bezpieczeństwa funkcjonowania podmiotu
Multicriteria optimization of the decision in the issues of the entity’s operational safety
Autorzy:
Lachowicz, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/586726.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Decyzja
Miara jakości decyzji w bezpieczeństwie
Ryzyko decyzji
Wielokryterialne metody optymalizacji
Decision
Decision-making risk
Measure of decision quality in safety management
Multicriteria optimization methods
Opis:
W pracy rozpatrzono problemy związane z wyznaczaniem optymalnych decyzji zapewnienia bezpieczeństwa funkcjonowania podmiotu. Zaproponowano wieloskładnikową miarę jakości decyzji w zagadnieniach bezpieczeństwa. Dokonano analizy podstawowych metod optymalizacji wielokryterialnej pod kątem ich zastosowania w zarządzaniu bezpieczeństwem. Wpływ metody optymalizacji na wybór decyzji optymalnej spośród dopuszczalnych zilustrowano na przykładzie zapewnienia bezpieczeństwa aglomeracji położonej w dolinie, przez którą przepływa rzeka.
This paper analyzes the optimization of decisions regarding an entity's operational safety based on a multicriteria measure of decision quality. The adopted measure of decision quality comprises the following components: losses borne by an entity, decision-making cost and risk. Basic multicriteria optimization methods were analyzed to evaluate their suitability for internal safety management and rescue operation management. The effect of the optimization method on the choice of an optimal decision was illustrated on the example of an urban agglomeration situated in a valley intersected by a river.
Źródło:
Studia Ekonomiczne; 2015, 235; 144-158
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Remarks on Designing Iterative Multicriteria Procurement Auctions
Autorzy:
Kruś, Lech
Toczyłowski, Eugeniusz
Powiązania:
https://bibliotekanauki.pl/articles/578522.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Aukcje wielokryterialne
Mechanizmy decyzyjne
Systemy wieloagnetowe
Wielokryterialna optymalizacja
Multicriteria auctions,
Incentive compatible decision mechanisms
Multiagent systems
Multicriteria optimization
Opis:
In this paper some mechanisms of the multicriteria procurement auctions are discussed, including the elements of the decision support to the auction organizer, as well as to the bidders. The auction mechanisms are considered in the context of attaining incentive compatible decisions. Using domination relations formulated in the criteria space, different rules for the improvement of offers in successive rounds of the auction process are analyzed. The general discussion is illustrated by an example of an iterative multicriteria closed-bidding auction conducted with the use of a multi-agent computer-based system. The system supports submission of offers, multicriteria analysis performed by the auction organizer, simulation, and analysis of the competing bidders' behavior. Experimental results of sessions conducted with the use of the system are analyzed.
Źródło:
Multiple Criteria Decision Making; 2014, 9; 32-47
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Project Portfolio Scheduling as a Multiple-Criteria Decision Making Problem
Autorzy:
Krzeszowska, Bogumiła
Powiązania:
https://bibliotekanauki.pl/articles/591823.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Analiza wielokryterialna Podejmowanie decyzji Wielokryterialne podejmowanie decyzji
Decision making
Multicriteria analysis
Multiple-criteria decision making
Opis:
A new methodology for project portfolio scheduling problem has been presented in this paper. This methodology delivers information about project portfolio schedule, which is important for project portfolio managers. The methodology consists of three steps: multiple-criteria mathematical model building, finding non-dominated solutions and choosing one solution from the Pareto set as the final solution. In the first step a multiple-criteria mathematical model for project portfolio scheduling problem is built. Three criteria are considered in the model: the penalty for projects delays minimization, the penalty for resources overusage minimization and NPV maximization. Disadvantage of proposed mathematical model is a big amount of variables, which is J×T×P. In cases when we will have larger projects or larger planning horizon the number of variables will be huge. That is why activities aggregation was proposed. It reduces a number of variables in given model. It also delivers a general information about project portfolio schedule, which is more important for project portfolio managers. In the second step a set of non-dominated solutions is identified by using an elitist evolutionary algorithm. As research shows using an external set with the best solutions in each generation increases an algorithm efficiency. In the third step the LBS procedure is used to identify the final solution. The LBS procedure proposes is a way of learning-oriented interactive search for the best compromise solution for the decision maker. This procedure makes the comparison of non-dominated solution in the decision phase relatively easy. So this step will not burden the decision maker too much. For the future work, the procedure presented in this paper will be applied to the problem described in the section two, and given results will be compared with the current situation in the company.
Źródło:
Studia Ekonomiczne; 2013, 137; 69-82
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Interactive Decision Aiding Technique for a New Product Selection Problem
Autorzy:
Michnik, Jerzy
Nowak, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/592928.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Analiza wielokryterialna
Podejmowanie decyzji
Produkt
Decision making
Multicriteria analysis
Product
Opis:
An important part of the innovation management is to select the best new product project from the preliminary large set of potential alternatives. This problem is broadly discussed in the extant literature. Although the qualitative approaches dominate in literature, there are few examples of more formal decision procedures based on multiple criteria analysis. This article brings an example of interactive procedure that can help decision making in the new product development. As to the authors knowledge, such approach has not been proposed so far to the problem of selecting new product. The interactive procedure gives to the DM an opportunity to actively participate in the whole process and observe its development. During the procedure, the DM can disclose his preferences and values of trade-offs. This kind of assessment of differences in importance of criteria is assumed as more reliable then the direct assessment of weights.
Źródło:
Studia Ekonomiczne; 2013, 137; 53-68
2083-8611
Pojawia się w:
Studia Ekonomiczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Supporting Multicriteria Fuzzy Decisions on the Forex Market
Autorzy:
Juszczuk, Przemysław
Kruś, Lech
Powiązania:
https://bibliotekanauki.pl/articles/578572.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Ekonomiczny w Katowicach
Tematy:
Decision support
Foreign exchange
Fuzzy sets
Obrót dewizowy
Wspomaganie decyzji
Zbiory rozmyte
Opis:
This paper deals with decisions made by a decision maker using technical analysis on the Forex market. For a number of currency pairs on the market the decision maker obtains buy or sell signals from transaction systems using technical analysis indicators. The signal is generated only when the assumed conditions are satised for a given indicator. The information characterizing every market situation and presented to the decision maker is binary: he either obtains the signal or does not. In this paper a fuzzy multicriteria approach is proposed to extend and valuate information for the analysis of the market situation. The traditional approach with binary characterization of the market situations, referred to as a crisp approach, is replaced by a fuzzy approach, in which the strict conditions for which the crisp signal was generated are fuzzy. The eciency of a given currency pair is estimated using values from the range <0,1> and is dened by the membership function for each technical indicator. The values calculated for dierent indicators are treated as criteria. The eciency of a given currency pair can be analyzed jointly for several indicators. The currency pairs are compared in the multicriteria space in which domination relations, describing preferences of the decision maker, are introduced. An algorithm is proposed which generates Pareto-optimal variants of currency pairs presented to the decision maker. The method proposed allows to extend the number of analyzed currency pairs, without signicantly increasing the computation time.
Źródło:
Multiple Criteria Decision Making; 2017, 12; 60-74
2084-1531
Pojawia się w:
Multiple Criteria Decision Making
Dostawca treści:
Biblioteka Nauki
Artykuł
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