Showing papers by "Krassimir T. Atanassov published in 2019"

Interval-Valued Intuitionistic Fuzzy Sets

Abstract: In this chapter, the basic definitions and properties of the interval valued intuitionistic fuzzy sets (IVIFSs) will be introduced. We will omit the majority of the proofs below, which are, in general, analogous to the proofs from Chapter 1.

InterCriteria Analysis with Interval-Valued Intuitionistic Fuzzy Evaluations

Abstract: The Intercriteria Analysis (ICA) is a new tool for decision making similar, but different from the correlation analyses. In the present paper, a new form of ICA, based over interval-valued intuitionistic fuzzy evaluations is described for a first time.

InterCriteria Analysis Implementation for Exploration of the Performance of Various Docking Scoring Functions

Abstract: The present study describes an implementation of InterCriteria Analysis (ICrA) in the field of the computer-aided drug design and computational toxicology. ICrA strives to go beyond the nature of the criteria involved in a process of evaluation of multiple objects against multiple criteria, and, thus to discover some dependencies between the criteria themselves. The approach is based on the apparatus of the index matrices and the intuitionistic fuzzy sets. In this study new software capabilities, implemented in order to apply ICrA to in silico drug design, are presented. As a case study, ICrA is implemented to explore the performance of various scoring functions in docking. Docking, which is the most commonly used structure-based drug design method, has been applied to predict the binding mode and to provide a measure for the ligand binding affinity to the protein. In particular, ligands of the peroxisome proliferator-activated nuclear receptor gamma (PPAR\(\gamma \)), involved in the control of a number of physiologically significant processes, have been investigated towards prediction of their binding to the protein. A dataset of 160 tyrosine-based PPAR\(\gamma \) agonists with experimentally determined binding affinities has been used in this investigation. Docking combined with the in-house developed pharmacophore model as a filter has been applied. Various scoring functions and docking protocols have been tested in the molecular modelling platform MOE (v. 2019.01). ICrA has been applied to assess dependencies among the scoring functions. The analysis has demonstrated high positive consonance for two of the scoring functions – London dG and Alpha HB. None of the functions could be distinguished as a good predictor of the experimental binding affinity.

A Generalized Net Model of the Abdominal Aorta and Its Branches as a Part of the Vascular System

Abstract: In a series of papers, Generalized Net (GN) models of the ways of functioning of the different systems and organs in the human body are described in general. Each GN model of a particular system or organ can be detailed and made more complex. In this paper a GN model of the abdominal aorta and its branches of the vascular system is proposed.

Four Operations over Extended Intuitionistic Fuzzy Index Matrices and Some of Their Applications

Abstract: In this paper, four new operations are introduced over extended intuitionistic fuzzy index matrices and over their simpler cases, such as intuitionistic fuzzy index matrices, extended index matrices and index matrices. Some of the properties of the four new operators are discussed and their applications in intercriteria analysis are shown. A theorem for stratification of an index matrix is formulated and proved.

Generalized Net Model of Cyber-control of the Firm’s Dumpers and Crushers

Abstract: A generalized net model of a system for tracking and monitoring the movement and actions of a firm’s dumpers and crushers is proposed. The presented model permits analysis regarding possible cyber manipulation of data, and highlights the crucial vulnerabilities of such systems.

Brouwer’s Ideas and Intuitionistic Fuzziness

Abstract: In this paper, two of Luitzen Egbertus Jan Brouwer’s ideas are discussed from intuitionistic fuzzy point of view. First, it is shown that the intuitionistic fuzziness corresponds to Brouwer’s intuitionism and second, Brouwer’s idea for fixed points is discussed for the case of the intuitionistic fuzzy quantifiers and operators from modal and level types.

A Generalized Net Model for the Coordination and Synchronization of Human and Computer-Based Expert Type Decision Support Activities

Abstract: The processes of decision making by experts and by decision making tools are described by a Generalized Net (GN). It is shown that the GN-model can organize, coordinate and synchronize the work of the experts and/or decision making tools with aim to obtain the best results of their activity.

Operators over 3-Dimensional Index Matrices

Abstract: In this paper, the definitions of four operations over 3-dimensional index matrices are discussed. Some of their properties are discussed and an examples for their use are given.