Latest Advances in Neuroinformatics and Fuzzy Systems
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Yingxu Wang, PhD, Prof., PEng, FWIF, FICIC, SMIEEE, SMACM
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Abstract
Latest Advances in Neuroinformatics and Fuzzy Systems
|
|
Yingxu Wang, PhD, Prof., PEng, FWIF, FICIC, SMIEEE, SMACM
|
Abstract
Investigations into the neurophysiological foundations of
neural networks in neuroinformatics [Wang, 2013] have led to
a set of rigorous mathematical models of neurons and neural
networks in the brain using contemporary denotational
mathematics [Wang, 2008, 2012]. A theory of neuroinformatics
is recently developed for explaining the roles of neurons in
internal information representation, transmission, and
manipulation [Wang & Fariello, 2012]. The formal neural
models reveal the differences of structures and functions of
the association, sensory and motor neurons. The pulse
frequency modulation (PFM) theory of neural networks [Wang &
Fariello, 2012] is established for rigorously analyzing the
neurosignal systems in complex neural networks. It is
noteworthy that the Hopfield model of artificial neural
networks [Hopfield, 1982] is merely a prototype closer to
the sensory neurons, though the majority of human neurons
are association neurons that function significantly
different as the sensory neurons. It is found that neural
networks can be formally modeled and manipulated by the
neural circuit theory [Wang, 2013]. Based on it, the basic
structures of neural networks such as the serial,
convergence, divergence, parallel, feedback circuits can be
rigorously analyzed. Complex neural clusters for memory and
internal knowledge representation can be deduced by
compositions of the basic structures.
Fuzzy inferences and fuzzy semantics for human and machine
reasoning in fuzzy systems [Zadeh, 1965, 2008], cognitive
computers [Wang, 2009, 2012], and cognitive robots [Wang,
2010] are a frontier of cognitive informatics and
computational intelligence. Fuzzy inference is rigorously
modeled in inference algebra [Wang, 2011], which recognizes
that humans and fuzzy cognitive systems are not reasoning on
the basis of probability of causations rather than formal
algebraic rules. Therefore, a set of fundamental fuzzy
operators, such as those of fuzzy causality as well as fuzzy
deductive, inductive, abductive, and analogy rules, is
formally elicited. Fuzzy semantics is quantitatively modeled
in semantic algebra [Wang, 2013], which formalizes the
qualitative semantics of natural languages in the categories
of nouns, verbs, and modifiers (adjectives and adverbs).
Fuzzy semantics formalizes nouns by concept algebra [Wang,
2010], verbs by behavioral process algebra [Wang, 2002,
2007], and modifiers by fuzzy semantic algebra [Wang, 2013].
A wide range of applications of fuzzy inference, fuzzy
semantics, neuroinformatics, and denotational mathematics
have been implemented in cognitive computing, computational
intelligence, fuzzy systems, cognitive robotics, neural
networks, neurocomputing, cognitive learning systems, and
artificial intelligence.
Biography of the Speaker
Yingxu Wang is professor of cognitive informatics and denotational
mathematics, President of International Institute of Cognitive
Informatics and Cognitive Computing (ICIC, http://www.ucalgary.ca/icic/)
at the University of Calgary. He is a Fellow of ICIC, a Fellow of WIF
(UK), a P.Eng of Canada, and a Senior Member of IEEE and ACM. He
received a PhD in software engineering from the Nottingham Trent
University, UK, and a BSc in Electrical Engineering from Shanghai Tiedao
University. He was a visiting professor on sabbatical leaves at Oxford
University (1995), Stanford University (2008), University of California,
Berkeley (2008), and MIT (2012), respectively. He is the founder and
steering committee chair of the annual IEEE International Conference on
Cognitive Informatics and Cognitive Computing (ICCI*CC) since 2002. He
is founding Editor-in-Chief of International Journal of Cognitive
Informatics and Natural Intelligence (IJCINI), founding Editor-in-Chief
of International Journal of Software Science and Computational
Intelligence (IJSSCI), Associate Editor of IEEE Trans. on SMC (Systems),
and Editor-in-Chief of Journal of Advanced Mathematics and Applications
(JAMA). Dr. Wang is the initiator of a few cutting-edge research fields
or subject areas such as denotational mathematics, cognitive
informatics, abstract intelligence (I), cognitive computing, software
science, and basic studies in cognitive linguistics. He has published
over 160 peer reviewed journal papers, 230+ peer reviewed conference
papers, and 25 books in denotational mathematics, cognitive informatics,
cognitive computing, software science, and computational intelligence.
He is the recipient of dozens international awards on academic
leadership, outstanding contributions, best papers, and teaching in the
last three decades.
http://www.ucalgary.ca/icic/
http://scholar.google.ca/citations?user=gRVQjskAAAAJ&hl=en
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Editor-in-Chief, International Journal of Cognitive Informatics and
Natural Intelligence
Editor-in-Chief, International Journal of Software Science and
Computational Intelligence
Associate Editor, IEEE Transactions on System, Man, and Cybernetics -
Systems
Editor-in-Chief, Journal of Advanced Mathematics and Applications
Chair, The Steering Committee of IEEE ICCI*CC Conference Series