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Larbi Esmahi (Athabasca University, Canada), Kristian Williamson (Statistics Canada, Canada) and Elarbi Badidi (United Arab Emirates University, UAE)

DOI: 10.4018/978-1-59904-849-9.ch005

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TopNeuro-fuzzy Technology is a broad term used to describe a field of techniques and methods used to combine fuzzy logic and neural networks together (Jin, 2003, pp. 111-140). Fuzzy logic and neural networks each have their own sets of strengths and weaknesses, and most attempts to combine these two technologies have the goal of using each techniques strengths to cover the others weaknesses.

Soft Computing: Soft Computing refers to a partnership of computational techniques in computer science, artificial intelligence, machine learning and some engineering disciplines, which attempt to study, model, and analyze complex phenomena. The principle partners at this juncture are fuzzy logic, neuron-computing, probabilistic reasoning, and genetic algorithms. Thus the principle of soft computing is to exploit the tolerance for imprecision, uncertainty, and partial truth to achieve tractability, robustness, low cost solution, and better rapport with reality.

Evolving Fuzzy Neural Network (EFuNN): An Evolving Fuzzy Neural Network is a dynamic architecture where the rule nodes grow if needed and shrink by aggregation. New rule units and connections can be added easily without disrupting existing nodes. The learning scheme is often based on the concept of “winning rule node”.

Neuro-Fuzzy Systems (NFS): A neuro-fuzzy system is a fuzzy system that uses a learning algorithm derived from or inspired by neural network theory to determine its parameters (fuzzy sets and fuzzy rules) by processing data samples.

Self-Organizing Map (SOM): The self-organizing map is a subtype of artificial neural networks. It is trained using unsupervised learning to produce low dimensional representation of the training samples while preserving the topological properties of the input space. The self-organizing map is a single layer feed-forward network where the output syntaxes are arranged in low dimensional (usually 2D or 3D) grid. Each input is connected to all output neurons. Attached to every neuron there is a weight vector with the same dimensionality as the input vectors. The number of input dimensions is usually a lot higher than the output grid dimension. SOMs are mainly used for dimensionality reduction rather than expansion.

Artificial Neural Networks (ANN): An artificial neural network, often just called a “neural network” (NN), is an interconnected group of artificial neurons that uses a mathematical model or computational model for information processing based on a connectionist approach to computation. Knowledge is acquired by the network from its environment through a learning process, and interneuron connection strengths (synaptic weighs) are used to store the acquired knowledge.

Fuzzy Neural Networks (FNN): are Neural Networks that are enhanced with fuzzy logic capability such as using fuzzy data, fuzzy rules, sets and values.

Fuzzy Logic: Fuzzy logic is an application area of fuzzy set theory dealing with uncertainty in reasoning. It utilizes concepts, principles, and methods developed within fuzzy set theory for formulating various forms of sound approximate reasoning. Fuzzy logic allows for set membership values to range (inclusively) between 0 and 1, and in its linguistic form, imprecise concepts like “slightly”, “quite” and “very”. Specifically, it allows partial membership in a set.

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