The most important part of a Case-Based Reasoning system is the retrieval stage, where the system must find in a sometimes-huge case base, the best matching case or cases from which to produce the prediction for the outcome of a given situation. In this paper we propose a fuzzy logic based approach for identifying cases for the similarity measuring stage of case based reasoning systems. We comb...

This paper discusses fuzzification of crisp domains into fuzzy classes providing fuzzy domains. Relationship between two fuzzy domains, Xi and Xj , is represented by a matrix, wij . If Xi and Xj have n and m elements of fuzzy data, respectively, then wij is n × m matrix. The primary goal of the paper is to generate and provide some formulas for predicting interval probability in the relation to...

In this paper, we proposed another new form of type-2 fuzzy data points(T2FDPs) that is perfectly normal type-2 data points(PNT2FDPs). These kinds of brand-new data were defined by using the existing type-2 fuzzy set theory(T2FST) and type-2 fuzzy number(T2FN) concept since we dealt with the problem of defining complex uncertainty data. Along with this restructuring, we included the fuzzificati...

This software outputs hypotheses about the properties and expected consequences of a new computer attack. The system analyses a set of properties of the computer attack known to the user. For this we use the Base of the cyber attack’s precedents, described in the language of fuzzification of Boolean-valued models. Each potential property of the new attack is studied by using the JSM method. Thi...

In this paper we shall introduce an approach that forms a basis for temporal data mining. A relation algebra is applied for the purpose of representing simultaneously dependencies among instants, dependencies between instants and intervals, and dependencies between intervals. This enables one to specify and recognise complex interrelationships among point events in data streams. An example is s...

This paper deals with two problems: the first concerns the design of the HW architecture of a high speed Fuzzy Processor that works at 50 Mega Fuzzy Inference per Second (MFIPS). It has eight 7 bit inputs and one 7 bit output. It is foreseen to apply it as a part of the trigger device in HEP (High Energy Physics) experiments, the second one concerns the 1.0 μm CMOS VLSI design of the fuzzificat...

Fuzzy logic has proven to be a promising method for developing simple, robust controllers for uncertain or nonlinear systems. One problem with fuzzy controllers, however, is that they are difficult to apply to higher-order systems. The reason for this is that the number of rules required for the rule base increases geometrically with the number of states. For example, if a system was fourth-ord...

Let X be a compact metric space, let φ be a continuous self-map on X , and let F(X) denote the space of fuzzy sets on X equipped with the levelwise topology. In this paper we study relations between various dynamical properties of a given (crisp) dynamical system (X,φ) and its Zadeh’s extension Φ on F(X). Among other things we study various (weak, strong, mild etc.) mixing properties and also s...

The present article proposes a fuzzy set-based classifier with a better learning and generalization capability. The proposed classifier exploits the feature-wise degree of belonging of a pattern to all classes, generalization in the fuzzification process and the combined class-wise contribution of features effectively. The classifier uses a -type membership function and product aggregation reas...

We consider the fuzzification of the notion of fuzzy multiply positive implicative hyper BCK-ideals of BCK-algebras and then some related results are obtained. Using the concept of level subsets, we give a characterization of a fuzzy multiply positive implicative hyper BCK-ideal. We state a relation between a fuzzy hyper BCK-ideal and a fuzzymultiply positive implicative hyper BCK-ideal. Moreov...