Showing papers by "Krassimir T. Atanassov published in 2006"

On Eight New Intuitionistic Fuzzy Implications

Abstract: In a series of papers intutionistic fuzzy variants of the most popular fuzzy implications and some specific intutionistic fuzzy implications are introduced and their properties are studied. These implications generate five different negations - one standard and four from an intuitionistic (in sense of L.E.J. Brouwer) type. Here, we construct on the basis of the latter four negations eight new intuitionistic fuzzy implications and some properties of them are studied. The relations between them and Modus Ponens are described. Klir and Yuan's axioms are checked for them.

A note on generalized net model of e-learning evaluation associated with intuitionistic fuzzy estimations

Abstract: A generalized net is used to construct a model which describes the process of evaluation of the problems solved by students. The model utilizes the theory of intuitionistic fuzzy sets. The model can be used to simulate some processes, related to estimation of students` background.

A Generalized Net Model of the Separate Information Flow Connections within a University

Abstract: The research expounded in this paper is a continuation of previous investigations into the modelling of information flow with a typical university. The framework in which this is done is the theory of Generalized Nets (GNs) (and sub-GNs where appropriate). While the order of procedure might vary from one institution to another, the processes are almost invariant, so that the development of the GN in this paper can be readily adapted or amended to suit particular circumstances, since each transition is constructed in a transparent manner.

On aggregating multiple fuzzy values into a single intuitionistic fuzzy estimate

Abstract: The process of decision making is related to the processing of the collected data In the case of fuzzy data algorithms for decrease of the uncertainty must be used Some of them are given here based on the IFS apparatus

On Some Intuitionistic Properties of Intuitionistic Fuzzy Implications and Negations

Abstract: V (x) = 〈a, b〉, (1) so that a, b, a+ b ∈ [0, 1], where a and b are degrees of validity and of nonvalidity of x. For simplicity of presentation we shall use the following three variables x, y and z with their corresponding truth values: V (x) = 〈a, b〉, V (y) = 〈c, d〉, V (z) = 〈e, f〉 (a, b, c, d, e, f, a+ b, c+d, e+f ∈ [0, 1]). We shall also consider connectives of propositional logic over variables instead of connectives over well-formed propositional formulas. It is clear that the former approach can be easily extended to the latter. For the needs of the discussion below we shall define the notion of Intuitionistic Fuzzy Tautology (IFT, see [1, 2]) by:

Merging Probabilistic & Null Values Utilising an Intuitionistic Fuzzy Relational Mediator

Abstract: An Integrated Data Management System is required for representing and managing indicative information from multiple sources describing the state of an enterprise. Current Data Management Systems model enterprises that are crisp. A crisp enterprise is one that is highly quantifiable; relationships are fixed and attributes are atomic valued. The premises for this paper are precise enterprises, data maybe uncertain; multiple sources of information do exist, but uncertainty may be described using different models.