Geometry of Knowledge for Intelligent Systems, 2013
Studies in Computational Intelligence Series, Vol. 407

The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowledge instruments used now, as for instance techniques of data mining , neural networks , formal concept analysis ,quantum computer and other topics. The aim of this book is to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. By using a new geometry of knowledge we can unify all the topics that have been studied in recent years to create a bridge between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents.

An Introduction to the Geometry of Agent Knowledge.- Tensor Calculus and Formal Concepts.- Geometry and Agent Coherence.- Field Theory for Knowledge.- Brain Neurodynamic and Tensor Calculus.- Electrical Circuit as constrain in the multidimensional space of the voltages or currents.- Superposition and Geometry for Evidence and Quantum Mechanics in the Tensor Calculus.- The Logic of Uncertainty and geometry of the worlds.

Contains the latest research in the area of intelligent systems The foundation of intelligent systems is presented from mathematical and physical point of view