I Acknowledgments IV List of Figures X List of Tables XIV List of Abbreviations XV Publications Arising from This Work XVIII Chapter 1: Introduction .................................................................................................. 1 1.1 Aims, Significance, Novelty ........................................................................... 6 1.1.1 Aims .............................

2 Zadeh-type fuzzy probability The paper deals with two methods of a fuzzification of the Borel field of events and too the probability measure. The first approach generalizes the Zadeh definition of a crisp probability of fuzzy event. The second method is based on the Yager definition of a fuzzy probability of fuzzy event. The theoretical results obtained can be applied to modeling stochastic ...

ÐA fuzzy decision tree is constructed by allowing the possibility of partial membership of a point in the nodes that make up the tree structure. This extension of its expressive capabilities transforms the decision tree into a powerful functional approximant that incorporates features of connectionist methods, while remaining easily interpretable. Fuzzification is achieved by superimposing a fu...

A new model for neuro-fuzzy (NF) classification systems is proposed. The motivation is to utilize the feature-wise degree of belonging of patterns to all classes that are obtained through a fuzzification process. A fuzzification process generates a membership matrix having total number of elements equal to the product of the number of features and classes present in the data set. These matrix e...

Abstract Modeling forms the basis for optimal control of complex technical processes in context industry 4.0 development and, hence, high product quality as well efficient production. For mechanical joining process self-pierce riveting with 11 input and 5 output variables, two modeling approaches based on (1) experimental data (2) FEM computer simulation are outlined performed. A physical appro...

Myerson treated various situations of cooperation in the field of cooperative games and proposed the communication structure. In this paper, we define and characterize an allocation rule in terms of the position value, called an average spanning tree solution, for communication situations by introducing a concept of cooperation relationship which says that two players are deemed to possess this...

Fuzzy C-mean (FCM) is the most well-known and widely-used fuzzy clustering algorithm. However, one of the weaknesses of the FCM is the way it assigns membership degrees to data which is based on the distance to the cluster centers. Unfortunately, the membership degrees are determined without considering the shape and density of the clusters. In this paper, we propose an algorithm which takes th...

Fuzzy Logic is, nowadays, a control technique widely extended in nonlinear system applications. This work adds a new point-of-view to the continuous efforts in search of an optimized hardware-software co-design of a dual-input single-output fuzzy logic controller (FLC). Our approach breaks up with the classical three-stage implementation process fuzzification, rule inference and defuzzification...