Socialinių indikatorių konstravimas taikant informacijos matavimo principus. Nekilnojamojo turto kainos modeliavimo pavyzdys

The article analyses the data concerning the real estate market of last years in Vilnius. The approach of dichotomous diagnostic operators as general testing tool creation from the empirical data is used and deterministic clusterization of catchments is provided. Based on this analysis, questionnaire concerning the information about catchment is constructed for the evaluation of aggregated appartment price.Šiame darbe pritaikyta dichotominė testavimo metodika, kuria siekiama atlikti gyvenamojo nekilnojamojo turto norminį vertinimą pagal šio turto kainą. Ankstesniuose autorių darbuose buvo pasiūlytas metodas, kuris šiame darbe pritaikomas socialinių indikatorių konstravimui, nagrinėjant konkretų atvejį. Dichotominio testo metodika pagrįstam modeliui kuriama anketa. Pagal tam tikrą kriterijų parenkami anketos klausimai, iš kuriųkonstruojamas indikatorius. Jis leidžia atlikti Vilniaus miesto mikrorajonuose esančio gyvenamojo nekilnojamojo turto norminį vertinimą pagal kainą atsižvelgiant į informaciją, tiesiogiai susijusią tik su konkrečia vieta, kurioje yra nekilnojamasis turtas. &nbsp

Diskrečiosios matematikos žinių tikrinimo testų lygiagrečiųjų variantų lygiavertiškumo tyrimas

Different studentswere given questions in 10 variants. It was tested if all parallel variants of test questions were equivalently difficult

Kriterijų derinimas svorių balansavimo metodu taikant entropijų reikšmes sprendimo priemimo uždaviniui spręsti

The article shows how multiple criteria optimization problems could be solved by application of modified KEMIRA method, when there are three groups of criteria. Criteria priorities are determined by the entropy, criteria weights are calculated by solving optimization task. The proposed method allows to find one of several possible local extrema.Straipsnyje parodyta, kaip taikant modifikuotą KEMIRA metodą gali būti sprendžiami daugiakriteriniai optimizavimo uždaviniai, kai yra trys požymių grupės. Požymių prioritetai nustatomi apskaičiuojant entropijas, požymių svoriai randami sprendžiant optimizavimo uždavinį. Pasiūlytas metodas leidžia rasti vieną iš kelių galimų lokalių ekstremumų

WEBIRA - comparative analysis of weight balancing method

The attributes weight establishing problem is one of the most important MCDM tasks. This study summarizes weight determining approach which is called WEBIRA (WEight Balancing Indicator Ranks Accordance). This method requires to solve complicated optimization problem and its application is possible by carrying out non trivial calculations. The efficiency of WEBIRA and other MCDM methods – SAW (Simple Additive Weighting) and EMDCW (Entropy Method for Determining the Criterion Weight) compared for 4 different data normalization methods. The re-sults of the study revealed that more sophisticated WEBIRA method is significantly efficient for all considered numbers of alternatives. Efficiency of all methods decreases with increasing number of alternatives, but WEBIRA is still applicable, while appli-cation of other methods is impossible as the number of alternatives is greater than 11. WEBIRA is the least affected by the data normalization, while EMDCW is the most affected method

Diagnostinio testo matematinio modelio tyrimas

The technology of creation dichotomous diagnostic operators as general testing tool using the empirical data is proposed. The only requirement to diagnostic operator – it must be nondecreasing function. Probability distribution of test result and test information are calculated according to the proposed technique.Siūloma dichotominių diagnostinių operatorių kaip universalios testavimo priemonės kūrimo technologija pagal esamus empirinius duomenis. Vienintelis reikalavimas diagnostiniam operatoriui – tai turi būti nemažėjančioji funkcija. Pagal siūlomą metodiką skaičiuojamas testo rezultato tikimybinis skirstinys ir testo teikiamos informacijos kiekis

Multiple criteria decision-making KEMIRA-M method for solution of location alternatives

Choice of location in many cases is a key factor setting up a new business object. In this article the KEMIRA-M method is proposed to establish priority of criteria and determine criteria weights. Weighted sum of criteria values was applied for ranking the alternatives. This technique is useful if the evaluation criteria naturally consist of several logically explained groups of criteria. Method requires much less initial information and is based upon searching the solution of optimisation problem. KEMIRA-M is applied for the case study of construction site for non-hazardous waste incineration plant in Vilnius City

Kriterijų svorių balansavimas taikant Kemeny medianą

The proposed in the article weights balancing approach enables to solve multiple criteria decision making tasks for the cases when objects are estimated by the two or more groups of the criteria which are not quantitatively compatible with each other. Criteria weights are being balanced by solving conditional optimization problems. The conditions for the certain optimization problem are determined by the construction of Kemeny median.Pasiūlytas straipsnyje svorių balansavimo metodas leidžia spręsti daugiakriterinių vertinimų uždavinius, kai nagrinėjami objektai vertinami dviejų arba daugiau rūšių kriterijais, kurie nėra kiekybiškai suderinti tarpusavyje. Kriterijų svoriai balansuojami sprendžiant sąlyginio optimizavimo uždavinius, kurių sąlygos apibrėžiamos naudojant Kemeny medianą

Sprendimų priėmimas taikant neryškių skaičių apibendrinto vidurkio funkcijas

Notions of point, interval and triangular intuitionistic fuzzy numbers are introduced. The generalized weighted averaging operator is used for solving multiple criteria decision making problems. Monte Carlo study was conducted with the aim to establish for which types of intuitionistic fuzzy numbers and which exponent values of weighted generalized average operator probabilities of alternatives ranking errors are the least.Pirmojo, antrojo ir trečiojo laipsnio intuityvieji neryškieji skaičiai išreiškia priklausomumo ir nepriklausomumo tam tikrai neryškiai aibei laipsnį. Tokių skaičių svertinio apibendrinto vidurkinimo operatorius naudojamas sprendžiant daugiakriterinius sprendimų priėmimo uždavinius. Monte Carlo metodu buvo atliktas tyrimas, kurio tikslas – nustatyti, esant kokio tipo intuityviems neryškiems skaičiams ir su kokiais apibendrinto vidurkio rodikliais alternatyvų rangavimo klaidos tikimybės yra mažiausios

A numerical experiment on mathematical model of forecasting the results of knowledge testing

In this paper the new approach to the forecasting the results of knowledge testing, proposed earlier by authors, is extended with four classes of parametric functions, the best fitting one from which is selected to approximate item characteristic function. Mathematical model is visualized by two numerical experiments. The first experiment was performed with the purpose to show the procedure of selecting the most appropriate item characteristic function and adjusting the parameters of the model. Goodness-of-fit statistic for detecting misfit of the selected model is calculated. In the second experiment a test of 10 items is constructed for the population with latent ability having normal distribution. Probability distribution of total test result and test information function are calculated when item characteristic functions are selected from four classes of parametric functions. In the next step it is shown how test information function value could be increased by adjusting parameters of item characteristic functions to the observed population. This model could be used not only for knowledge testing but also when solving diagnostic tasks in various fields of human activities. Other advantage of this method is the reduction of resources of testing process by more precise adjustment of the model parameters and decreasing the standard error of measurement of the estimated examinee ability. In the presented example the methodology is applied for solving the problem of microclimate evaluation in office rooms

Expert Estimates Averaging by Constructing Intuitionistic Fuzzy Triangles

The problem of ranking (sorting) of m alternatives is considered when experts evaluate each alternative according to k criteria. Functions of arithmetic and geometric averages are constructed for decision making. We present a generalization of this scheme when there are evaluation matrices of several experts and this information is aggregated in the form of triangular intuitionistic fuzzy numbers. Fuzzy triangles were constructed with different uncertainty levels, experts decision matrices and the number of experts varied from 2 to 5. Moreover, method for construction of experts decision probability matrices is proposed in the paper. Ranking results obtained by performing Monte Carlo simulations. Probabilities of errors are compared for arithmetic, geometric, fuzzy arithmetic and fuzzy geometric averages