A method for solving LSM problems of small size in the AHP

The Analytic Hierarchy Process (AHP) is one of the most popular methods used in Multi-Attribute Decision Making. It provides with ratio-scale measurements of the prioirities of elements on the various leveles of a hierarchy. These priorities are obtained through the pairwise comparisons of elements on one level with reference to each element on the immediate higher level. The Eigenvector Method (EM) and some distance minimizing methods such as the Least Squares Method (LSM), Logarithmic Least Squares Method (LLSM), Weighted Least Squares Method (WLSM) and Chi Squares Method (X2M) are of the tools for computing the priorities of the alternatives. This paper studies a method for generating all the solutions of the LSM problems for 3 × 3 matrices. We observe non-uniqueness and rank reversals by presenting numerical results.

Versenyképesség haloptikával – Helyi gazdaságfejlesztési problémák fejlődő városokban = Competitiveness at short range - Local problems of economic development in medium-sized towns

The aim of our research in the first half of 2011 was to find out what were the administrative, regulative and other problems that were specific obstacles to local economic development and what best practices can be found in local economies. During our research we carried out interviews with leaders and local professionals in five medium size towns of Hungary. We stated that the most obstructive factors were the imperfection of vocational training, the excessively bureaucratic administrative proceedings (supplying of data, acquisition of authority permits, the attitude of the authorities, etc.) and the system of application and finding sources of funds. We think that the most innovative solutions are the good examples of the institutionalized co-operation between local governments and local businesses. We've come to the conclusion that there is a need for reducing administrative burdens for the sake of local economic development.

Számítástechnikai hulladékok kezelési lehetőségei és gyakorlata Magyarországon (The possibilities and practice of computer waste management)

A szerzők cikkükben a számítástechnikai hulladékokkal foglalkoznak, számítástechnikai eszközök alatt a számítógép konfigurációk összetevőit értik, tehát számítógépeket (asztali, hordozható, terminál stb.), és perifériáit (monitor, nyomtató, cd-író stb.), valamint ezek alkatrészeit és kiegészítőit (chipek, mechanikus részek, festékkazetták stb.). A rendszeres használat környezeti hatásait csak abból a szempontból vizsgálták, hogy ennek során bizonyos alkatrészek, kellékek (kiemelten a nyomtatók festékkazettái) a gépnél nagyobb gyakorisággal cserélődnek, s válhatnak hulladékká. A fő fókusz a számítástechnikai eszközök élettartamának vége, s ebből a szempontból kulcsfogalom a használt személyi számítógép kategória. _____ In their article, the authors discuss the issue of computer waste; under the category of information technology devices they understand the components of computer configurations, that is computers (desktop, portable, terminal etc.) and their peripheries (monitor, printer, CD writer, etc), and also the components and supplements of these (chips, mechanical parts, toner cartridges, etc.). The environmental impact of regular use was examined only from one aspect: during regular use certain components and accessories (especially the toner cartridges of printers) are more often changed and become waste. The main focus is the end of the life time of computer devices, and from this point of view used personal computers are a key concept.

Minsk and Budapest, the two capital cities. Selected studies of post-socialist urban geography and ecological problems of urban areas

The official cooperation between the Hungarian and the Belarusian geography began to be outlined in a sunny afternoon of June 2010 in the Minsk building of the Geographic Faculty of the Belarusian State University, four years ago. Then we reviewed the potential frames of cooperation with Professor Ekaterina Antipova. It was supported by the academican Károly Kocsis, member of the Hungarian Academy of Sciences, director of the Geographical Research Institute, and we could also win the support of the dean Ivan Pirozhnik and the academician Vladimir Loginov from the Belarusian State University and the National Academy of Sciences of Belarus, respectively. This informal cooperation became official in the autumn of 2010 in the frame of the Academic Mobility Agreement Project between the Hungarian and the Belarusian academies of sciences. Since then several publications have appeared about Hungary and Belarus in the geographic journals of both countries, however, this is the first, long awaited, significant common publication. Besides the project-based co-operations like e. g. the EastMig (www.eastmig.mtafki.hu) and the ReSEP-CEE (www.mtafki.hu/ReSEP_CEE_Be.html) supported by the Visegrad Fund, a vivid student exchange program was also launched from the autumn of 2010 between the Geographic Research Institute of the Hungarian Academy of Sciences, and the Geographic Faculty of the Belarusian State University with the scholarship program of the Visegrad Fund. Later the Department of Economic Geography of the Corvinus University of Budapest, headed by István Tózsa became also an active partner of the cooperation. The publishing expenses of this book are also fully financed by the Department of Economic Geography.

Comparative analysis of the relationship between phenological phenomena and meteorological indicators based on insect and plant monitoring

Climate change is one of the biggest environmental problems of the 21st century. The most sensitive indicators of the effects of the climatic changes are phenological processes of the biota. The effects of climate change which were observed the earliest are the remarkable changes in the phenology (i.e. the timing of the phenophases) of the plants and animals, which have been systematically monitored later. In our research we searched for the answer: which meteorological factors show the strongest statistical relationships with phenological phenomena based on some chosen plant and insect species (in case of which large phenological databases are available). Our study was based on two large databases: one of them is the Lepidoptera database of the Hungarian Plant Protection and Forestry Light Trap Network, the other one is the Geophytes Phenology Database of the Botanical Garden of Eötvös Loránd University. In the case of butterflies, statistically defined phenological dates were determined based on the daily collection data, while in the case of plants, observation data on blooming were available. The same meteorological indicators were applied for both groups in our study. On the basis of the data series, analyses of correlation were carried out and a new indicator, the so-called G index was introduced, summing up the number of correlations which were found to be significant on the different levels of significance. In our present study we compare the significant meteorological factors and analyse the differences based on the correlation data on plants and butterflies. Data on butterflies are much more varied regarding the effectiveness of the meteorological factors.