As two classical measures, approximation accuracy and consistency degree can be employed to evaluate the decision performance of a decision table. However, these two measures cannot give elaborate depictions of the certainty and consistency of a decision table when their values are equal to zero. To overcome this shortcoming, we first classify decision tables in rough set theory into three type...

In this paper, the effects of uncertainty on multiple-objective linear programming models are studied using the concepts of fuzzy set theory. The proposed interactive decision support system is based on the interactive exploration of the weight space. The comparative analysis of indifference regions on the various weight spaces (which vary according to intervals of values of the satisfaction de...

Related to the recent issues on the environmental sustainability, the attention and importance of Reusable Medical Equipment (RME) has increased rapidly. As a part of System Redesign Project funded by Veterans Engineering Resource Center (VERC), “Design Evaluation for Reusable Medical Equipment” project has been conducted. This research project aims to develop new RME design assessment and eval...

One of the most important considerations when investigating a serious sexual offence is to find if it can be linked to other offences. If this can be done then there is a considerable dividend in terms additional evidence and new lines of enquiry. The central problem is the construction of a satisfactory typology of these crimes, but little progress has been made. It is the authors’ contention ...

Support vector techniques were proposed by Vapnik as an alternative to neural networks for solving non-linear problems. The concepts of margins in support vector techniques provides a natural relationship with the rough set theory. This chapter describes rough set theoretic extensions of support vector technologies for classification, prediction, and clustering. The theoretical formulations of ...

We propose a new measure for analyzing the structural similarities among the cognitive maps of different decision makers. Upon interpreting the cognitive response elicitation process in the general framework of fuzzy set theory, we are able to develop the similarity measure from straightforward operations on fuzzy relational products. In addition to the mathematical analysis, we present visual ...

Humans effortlessly classify and recognize complex patterns even if their attributes are imprecise and often inconsistent. It is not clear how the brain processes uncertain visual information. We have recorded single cell responses to various visual stimuli in area V4 of the monkey’s visual cortex. Different visual patterns are described by their attributes (condition attributes) and placed, to...

As the result of the development of Fuzzy Multiple Criteria Decision Making (FMCDM) with the help of fuzzy set theory a number of innovations have been made possible. The new approach of FMCDM – Fuzzy Hierarchical Modeling is introduced. It is shown in the article, how to use the fuzzy hierarchical model with other methods of FMCDM. Advantages of the method are described also. We propose a nove...

We examine the set covering machine when it uses data-dependent half-spaces for its set of features and bound its generalization error in terms of the number of training errors and the number of half-spaces it achieves on the training data. We show that it provides a favorable alternative to data-dependent balls on some natural data sets. Compared to the support vector machine, the set covering...

We propose using the maximum-a-posteriori (MAP) estimation of subspace transform for speaker recognition. The linear transform is defined on the mean vectors of the Gaussian mixture model (GMM), where transform matrices and bias vectors are associated with separate regression classes so that both can be estimated with sufficient statistics given limited training data. The transform matrices are...