MODIFICATION OF THE CRITIC METHOD USING FUZZY ROUGH NUMBERS

This paper presents a new approach in the modification of the CRiteria Importance Through Intercriteria Correlation (CRITIC) method using fuzzy rough numbers. In the modified CRITIC method (CRITIC-M), the normalization procedure of the home matrix elements was improved and the aggregation function for information processing in the normalized home matrix was improved. By introducing a new way of normalization, smaller deviations between normalized elements are obtained, which affects smaller values of standard deviation. Thus, the relationships between the data in the initial decision matrix are presented in a more objective way. The introduction of a new way of aggregating the values of weights in the CRITIC-M method enables a more comprehensive view of information in the initial decision matrix, which leads to obtaining more objective values of weights. A new concept of fuzzy rough numbers was used to address uncertainties in the CRITIC-M methodology

A note on convergence in measure and selection principles

It is proved that some classes of sequences of measurable functions satisfy certain selection principles related to special modes of convergence (convergence in measure, almost everywhere convergence, almost uniform convergence, mean convergence).Publishe

MORE ON TRANSLATIONALLY SLOWLY VARYING SEQUENCES

We define and study an equivalence relation in the class Tr(SVs) of translationally slowly varying positive real sequences and its relations with selection principles and game theory. We also prove a game-theoretic result for translationally rapidly varying sequences.Publishe

A few remarks on divergent sequences: Rates of divergence II

We continue (and, in a sense, close) our investigation begun in the paper Djurčić et al. (2009) [10] concerning quotient speed of divergence of sequences of positive real numbers and its relations with selection principles and games. By the way, we show a theorem of the generalized Galambos-Bojanić-Seneta type. © 2009 Elsevier Inc. All rights reserved

Exponents of Convergence and Games

The notion of exponents of convergence has many applications in different mathematical disciplines. In this paper we consider exponents of convergence of sequences of positive real numbers in connection with games and selection principles.Publishe

On the class S0 of real sequences

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Representation and characterization of rapidly varying functions

In this paper representations and characterizations of the class of rapidly varying functions in the sense of de Haan, for index +∞, will be proved. The statements of this theorems will be given in a form that is used by Karamata. Also, some characterization of normalized rapidly varying functions are proved.Publishe

On the class S0 of real sequences

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Rapid variability and Karamata’s integral theorem

In this paper some important variations and generalizations of the well-known Karamata’s integral theorem are proved. The property of rapid variability is the central argument for the results presented in this paper.Publishe

Some properties of rapidly varying functions

In this paper some characterizations of the class of rapidly varying functions using the notions of the lower and upper generalized inverses will be proved. The important properties of this class that are related to two classical integral transformations will be proved, also.Publishe