In this paper, an imprecise data classification is considered using new version of Fisher discriminator, namely interval Fisher. In the conventional formulation of Fisher, elements of within-class scatter matrix (related to covariance matrix between clusters) and between-class scatter matrix (related to covariance matrix of centers of clusters) have single values; but in the interval Fisher, th...

‎In this paper‎, ‎some algebraic and geometrical properties of the rank$-k$ numerical hulls of normal matrices are investigated‎. ‎A characterization of normal matrices whose rank$-1$ numerical hulls are equal to their numerical range is given‎. ‎Moreover‎, ‎using the extreme points of the numerical range‎, ‎the higher rank numerical hulls of matrices of the form $A_1 oplus i A_2$‎, ‎where $A_1...

Short algebraic codes promise low-delay data transmission and good performance results when transmitted over the additive white Gaussian noise (AWGN) channel and decoded by maximum-likelihood (ML) soft-decision decoding. One reason for this is the large minimum distance of these codes. For belief-propagation (BP) decoding, short algebraic codes show suboptimal results due to their high-density ...

To depict the influence of decision makers’ risk psychology on the interval-valued intuitionistic fuzzy multi-criteria decision-making process, this paper proposes a new method based on prospect theory. Considering the risk attitude of the decision maker, we transform interval-valued intuitionistic fuzzy numbers into real numbers via a prospect value function and consequently derive the prospec...

Linear discriminant analysis (LDA) is one of the most popular classification algorithms for brain-computer interfaces (BCI). LDA assumes Gaussian distribution of the data, with equal covariance matrices for the concerned classes, however, the assumption is not usually held in actual BCI applications, where the heteroscedastic class distributions are usually observed. This paper proposes an enha...

0950-7051/$ see front matter 2010 Elsevier B.V. A doi:10.1016/j.knosys.2010.02.004 * Corresponding author. Address: Key Laboratory o and Chinese, Information Processing of Ministry of China. E-mail addresses: [email protected] (Y. Qian [email protected] (D. Li), [email protected] (F. W (N. Ma). This article deals with approaches to attribute reductions in inconsistent incomplete decision tabl...

Original scientific paper In the construction industry, air conditioners (AC) are vital structural segments affecting human’s comfort and health directly. In this context selection process for the proper AC requires the usage of multi-criteria decision making (MCDM) methods due to conflicting criteria such as purchasing and maintenance costs, technical sufficiency, quality of service, performan...

This paper develops the spectral properties of pairwise comparison matrices (PCM) used in the multicriteria decision making method called analytic hierarchy process (AHP). Perturbed PCMs are introduced which may result in a reversal of the rank order of the decision alternatives. The analysis utilizes matrix theory to derive the principal eigenvector components of perturbed PCMs in explicit for...

The Multiple Attribute Group Decision Making (MAGDM) problems are investigated in which all the information provided by the decision-makers is presented as interval-valued intuitionistic fuzzy decision matrices, and the information about attribute weights is partially known. Three different models are utilized for calculating the completely unknown attribute weights which are then used for aggr...