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EN
Multicriteria decision making (MCDM) refers to screening, prioritizing, ranking or selecting the alternatives based on human judgment from among a finite set of ` alternatives in terms of the multiple usually conflicting criteria. A very significant role in MCDM models plays the weights of criteria which usually provide the information about the relative importance of the considered criteria. Several different methods are developed to take criteria priorities into account. The aim of the paper is a comparative overview on several rank ordering weights methods which are considered to convert the ordinal ranking of a number of criteria into numerical weights. Using ranks to elicit weights by some formulas is more reliable than just directly assigning weights to criteria because usually decision makers are more confident about the ranks of some criteria than their weights, and they can agree on ranks more easily. The great advantage of those methods is the fact that they rely only on ordinal information about attribute importance. They can be used for instance in situations of time pressure, quality nature of criteria, lack of knowledge, imprecise, incomplete information or partial information, decision maker’s limited attention and information processing capability. The equal weights, rank sum, rank exponent, rank reciprocal as well centroid weights technique are presented. These methods have been selected for their simplicity and effectiveness.
EN
The paper investigates the possibility of applying the fuzzy TOPSIS method in economic decision making in the absence of precise estimation of risk parameters, partial information, and uncertain or imprecise data. The authors describe the concept of risk in economic decision making and review the methods of risk analysis. Presented are the theoretical foundations of fuzzy TOPSIS, particular calculation stages, and the application for efficiency evaluation of investment projects under conditions of risk. The numerical example uses NPV, IRR and PP indicators, and a linguistic variable describing risk. What makes this procedure valuable is the calculation simplicity as well as the easiness and clarity of interpretation of obtained results.
EN
With respect to the complex nature of negotiation situation, in analysis of the negotiation, mathematical tools of multi-criteria decision making can be used. The aim of the paper is presentation of some applications of the classical TOPSIS method in analysis of the process of negotiation. The TOPSIS method let us to order offers, according to the value of the result of synthesis of multi-criteria evaluation, with respect to their similarities to the most preferable one, assignment of the alternative offers, estimating the value of concessions, or the estimation of the negotiation agreement. The similarity is determined on basis of minimization of distance negotiation offer, to the most preferable, and maximization of distance to the least preferable one.
PL
Ideą przewodnią nowożytnych igrzysk olimpijskich organizowanych od 1896 r. jest łacińska maksyma Citius, Altius, Fortius. Wspinaczka sportowa to dyscyplina, w której owo szybciej, wyżej, mocniej jest uchwytne i w pełni realizowane. Działania na rzecz wprowadzenia wspinaczki sportowej do programu igrzysk olimpijskich czynione są od lat 80. XX w. Wcześniej jednak alpinizm, nie będąc dyscypliną olimpijską, był (często wbrew woli większości środowisk alpinistycznych) obecny na igrzyskach. Lata 80. XX wieku przyniosły intensywny rozwój wspinaczki sportowej i zawodów wspinaczkowych. W 1987 r. powołano Międzynarodowy Komitet Wspinaczki Zawodniczej, ujednolicono i sprecyzowano procedury przeprowadzania zawodów wspinaczkowych oraz uzgodniono strategię rozwoju wspinaczki sportowej z myślą o igrzyskach olimpijskich. W 1992 r. w Chambery zorganizowano zawody wspinaczkowe „Pro-Olympique”, których zadaniem była promocja wspinaczki jako przyszłej dyscypliny olimpijskiej. W 2007 r. we Frankfurcie nad Menem powołano do życia International Federation of Sport Climbing (IFSC). Dzięki staraniom IFSC, 12 lutego 2010 r. MKOl oficjalnie uznał wspinanie za dyscyplinę sportową. 28 września 2015 r. wspinaczkę wpisano również na listę dyscyplin oczekujących na ewentualne włączenie do programów igrzysk Tokio 2020. Na 129 Sesji Plenarnej MKOl w Rio 3 sierpnia 2016 r. wspinaczka sportowa została włączona do programu igrzysk olimpijskich w Tokio 2020. Włączenie wspinaczki do rodziny sportów olimpijskich to wielka szansa dla rozwoju tej spektakularnej dyscypliny i ukoronowanie wielu lat starań, podejmowanych przez stowarzyszenia i środowiska wspinaczkowe na całym świecie.
EN
The leading idea of new era of Olympics’ games organised since 1896 is Latin sentence Citius, Altius, Fortius. Sport climbing is a discipline, in which these faster, higher, stronger is perceptible and fully effected. Activities to include sports climbing into the Olympic Game program, has been realising since 80th of XX century. Before, alpinism which was not Olympic discipline, was frequently, against the willingness of the majority of alpinist societies, was present on Olympic Game. 80th in XX century came with intensive development of sports climbing and climbing competition. In 1987 International Sports Climbing Committee has been found, procedures of conducting of climbing competition have been unified and specified and agreed strategy of development of sports climbing in the consideration of Olympic Games. In 1992 in Chambery the climbing competition “Pro-Omypique” has been organized. In 2007 in Frankfurt the International Federation of Sport Climbing (IFSC) has been found. Thanks to the attempts of IFSC, 12th February 2010 the International Olympic Committee considered climbing as a sports discipline. Three years later climbing has been listed on the waiting list of eventual discipline at the program at the Tokyo Olympic Game in 2020. At the 129. Plenary session of the IOC in Rio, on August 3, 2016, sport climbing has been included to the Program of the Olympic Games in Tokyo 2020. Implementation of climbing into the Olympic Game program is a big chance for development of this spectacular discipline and capstone of many years’ attempts, which were done by climbing organizations and societies worldwide.
EN
In this paper we propose a multi-criteria model based on the fuzzy preferences approach which can be implemented in the prenegotiation phase to evaluate the negotiations packages. The applicability of some multi-criteria ranking methods were discussed for building a scoring function for negotiation packages. The first one is Simple Additive Weighting (SAW) technique which determines the sum of the partial satisfactions from each negotiation issue and aggregate them using the issue weights. The other one is Distance Based Methods (DBM), with its extension based on the distances to ideal or anti-ideal package, i.e. the TOPSIS procedure. In our approach the negotiator's preferences over the issues are represented by fuzzy membership functions and next a selected multi-criteria decision making method is adopted to determine the global rating of each package. The membership functions are used here as the equivalents of utility functions spread over the negotiation issues, which let us compare different type of data. One of the key advantages of the approach proposed is its usefulness for building a general scoring function in the ill-structured negotiation problem, namely the situation in which the problem itself as well as the negotiators preferences cannot be precisely defined, the available information is uncertain, subjective and vague. Secondly, all proposed variants of scoring functions produce consistent rankings, even though the new packages are added (or removed) and do not result in rank reversal.
EN
The paper discusses the impact of the decision-making profiles on the consistency of rankings obtained by three multiple criteria methods, i.e. DR, AHP and TOPSIS. The online decision making experiment was organized, based on an electronic questionnaire which is a hybrid of the internet survey system and the decision support system. The participants of the experiment were 418 students of Polish universities. To describe the decision-making profile, the REI test was used which allows to distinguish two decision-making styles: rational and intuitive. The Kendall rank correlation coefficient was used to test the consistency of the rankings obtained by the considered methods. Using different grouping methods, the relationship between the decision profile and the ability to express one’s preferences by means of these methods, that differ in cognitive requirements, was examined. The results of the research may be helpful for supporting the decision-maker in decision processes by choosing the method that fits their profile best.
EN
A tool for supporting the negotiator during the process of the analysis of own preferences and the analysis of the preferences of the potential partner is proposed in this work. The approach is based on the construction of the collective preferences model for a selected negotiator's profile in the form of multivariate probability distribution over the space of negotiation issue weights vectors. In the process of user interaction with the system the ranges of issue weights are modified that allows for the decomposition of the general multi-variate distribution into series of uni-variate distributions corresponding to single issues. Such distributions conditionally depend on the issue weight ranges set by the decision-maker for all the remaining issues. Moreover, in the work we consider the possibility of constructing the collective preferences model in a continuous form in the case normally distributed weights for some sets of issues. The data from the Negotiation Support System Inspire [Kersten 1999] were used to examine the normality of the issue weights distribution for different issue sets.
EN
This work provides a survey of the properties of SAW method (Simple Additive Weighting) which is one of the simplest and mostly used multiple criteria techniques. The work is presented by focusing mostly on the application of SAW in the support of bilateral negotiations. The strengths and limitations of the proposed approach are discussed and the suggestions of modifications of the classical algorithm are presented from the viewpoint of applications in the negotiation process. The function assigning a score to the negotiation packages, determined by the use of modified SAW procedure is a useful tool facilitating linear ordering of negotiation packages, the estimation of potential concessions, the implementation of a negotiation strategy and the analysis of negotiation compromise
EN
This article presents a relatively straightforward theoretical framework about distributive justice with applications. It draws on a few key concepts of Sociological Game Theory (SGT). SGT is presented briefly in section 2. Section 3 provides a spectrum of distributive cases concerning principles of equality, differentiation among recipients according to performance or contribution, status or authority, or need. Two general types of social organization of distributive judgment are distinguished and judgment procedures or algorithms are modeled in each type of social organization. Section 4 discusses briefly the larger moral landscapes of human judgment – how distribution may typically be combined with other value into consideration. The article suggests that Rawls, Elster, and Machado point in this direction. Finally, it is suggested that the SGT framework presented provides a useful point of departure to systematically link it and compare the Warsaw School of Fair Division, Rawls, and Elster, among others.
PL
W pracy przedstawiono zastosowanie wybranych modeli Teorii Odpowiadania na Pozycje Testowe (Item Response Theory) do oceny zdolności odzwierciedlenia przez decydenta informacji preferencyjnej w procesie tworzenia przez niego systemu oceny ofert negocjacyjnych w elektronicznych negocjacjach dwustronnych. Zbudowano oraz porównano wybrane modele IRT (Rasha, 1PL, 2PL, 3PL) określające rozkład odpowiedzi na pozycje testowe w terminach zmiennej ukrytej, reprezentującej zdolność negocjatora do przetwarzania informacji preferencyjnej z uwzględnieniem parametrów: trudności, dyskryminacji, zgadywania.
PL
Celem opracowania jest ocena zróżnicowania rozwoju województw Polski w latach 2010-2014 w kontekście kształtowania się ładu instytucjonalnego. Analizę wyników opisujących poziom rozwoju instytucjonalnego przeprowadzono w ujęciu czasowo- -przestrzennym. Wyznaczono wartości miernika rozwoju oraz zbudowano rankingi woje- wództw w latach 2010-2014 z wykorzystaniem metody TOPSIS ze wspólnym wzorcem rozwoju. Zaproponowano modyfikację tej metody, pozwalającą na pominięcie w konstrukcji wzorca i antywzorca wartości oddalonych cech diagnostycznych. W ujęciu czasowym dokonano oceny postępów województw w kierunku zrównoważonego rozwoju w zakresie poziom rozwoju instytucjonalnego w 2014 roku w odniesieniu do 2010 roku. Przeprowadzono dyskusję wyników otrzymanych za pomocą obu procedur TOPSIS.
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