A hybrid medical image segmentation framework (concentrating mainly on Magnetic Resonance Imaging and Computed Tomography head images) making use of information theory methods (image entropy, mutual-information-based registration), fuzzy logic and elements of atlas-based techniques is presented in the report. Information theory provides a way to create highly automated systems, while fuzzy logi...

It is known that any binary logic function (in binary logic) can be represented by at least one logic formula, however this is not always true for a ternary logic function (in ternary logic). A ternary logic function can be represented by at least one logic formula if and only if it satisfies a mathematical condition which is called regularity. Also, it is known that a fuzzy logic formula (in s...

Over the last decade or so, significant advances have been made in two distinct technological areas: fuzzy logic and computational neutral networks. The theory of fuzzy logic provides a mathematical framework to capture the uncertainties associated with human cognitive processes, such as thinking and reasoning. Also, it provides a mathematical morphology to emulate certain perceptual and lingui...

Intelligent systems have appeared in many technical areas, such as consumer electronics, robotics and industrial control systems. Many of these intelligent systems are based on fuzzy control strategies which describe complex systems mathematical model in terms of linguistic rules. Since the 1980s new techniques have appeared from which fuzzy logic been applied extensively in medical systems. Th...

Mathematical Fuzzy Logic (MFL) is the subdiscipline of mathematical logic devoted to the study of formal systems of fuzzy logic. It has been a fairly active research field for more than two decades, since scholars undertook the task of providing solid formal foundations for deductive systems arising from Fuzzy Set Theory by realizing that these systems could be seen as a special kind of many-va...

This work shows a stand-alone photovoltaic system application based on fuzzy logic controllers and genetic fuzzy systems. A hierarchical fuzzy controller has been designed that at present controls four real stand-alone photovoltaic systems sited in University of Jaén. In order to improve that fuzzy logic controller operation, a genetic fuzzy system has been designed. Its operation is based on a...

Autonomous robot systems require complex control systems. Fuzzy Logic, a mathematical system developed by Professor Lotfi Zadeh, helps to reduce the complexity of modeling nonlinear problems. In the 1990s, Motorola developed the MC68HC12 microcontroller with native Fuzzy Logic instructions. This research determined the effectiveness of the MC68HC12’s Fuzzy Logic instructions for robotic control...

Classical control theory is based on the mathematical models that describe the physical plant under consideration. The essence of fuzzy control is to build a model of human expert who is capable of controlling the plant without thinking in terms of mathematical model. The transformation of expert's knowledge in terms of control rules to fuzzy frame work has not been formalized and arbitrary cho...

A robust fuzzy logic controller is proposed for stabilization and disturbance rejection in nonlinear control systems of a particular type. The dynamic feedback controller is designed as a combination of a control law that compensates for nonlinear terms in a control system and a dynamic fuzzy logic controller that addresses unknown model uncertainties and an unmeasured disturbance. Since it is ...

This paper introduces a new mathematical method for introducing Membership function in fuzzy systems. This new mathematical definition relies on concept of continuousvalued logic (CVL) which can be applied to control the pulse width of generated Pulse Width Modulation. The introduced Membership function is in the form of triangle with curved brim in order of two. For the first time, degree of m...