In addition to Zadeh’s interpretation of possibility as a constraint on the semantics is to identify characteristics of applications that make them well …
Possiblility and Analogy
Thomas Sudkamp
Department of Computer Science
Wright State University
Dayton, OH 45435
email: tsudkamp@cswrightedu
www: http://wwwcswrightedu/tsudkamp
phone: 937-775-5118, fax: 937-775-5133
ABSTRACT
Although what is now considered possibilistic reasoning predated the
introduction of fuzzy set theory, Zadehs 1978 work relating possibility to
fuzzy constraints provided the impetus for the development of possibility
theory as an independent paradigm for reasoning with incomplete and
imprecise data In addition to Zadehs interpretation of possibility as a
constraint on the ability of a variable to assume a given value,
possibility has been defined in terms of random set theory, betting
behavior following the model of subjective probability, the analysis of
histograms, and as a component of a general information theory and has been
used for knowledge representation and decision analysis in classification,
diagnosis, decision analysis,
This presentation considers a unifying view of
preceding semantics based on
analogy and similarity This view clearly differentiates possibility
theory from other popular methodologies for reasoning with uncertain
information, such as Bayesian analysis and the Dempster-Shafer theory The
objective of adopting a simple unifying semantics is to identify
characteristics of applications that make them well suited for
possibilistic analysis and help to extend the use of possiblistic reasoning
beyond the fuzzy set community
Brief Biography:
Dr Thomas Sudkamp is a Professor in the Department of Computer Science and
Engineering at Wright State University He received the BS in Mathematics
from University of Wisconsin-Madison in 1974, the MS and PhD in
Mathematics from the
University of Notre Dame in 1976 and 1978, respectively He also received
the
MS in Computer Science from Wright State University in 1982
Dr Sudkamp is an associate editor of the IEEE Transactions on Systems,
Man, and Cybernetics and the IEEE Transactions on Fuzzy Systems He is also
a member of the editorial board of Fuzzy Sets and Systems and The
International Journal of Computational Intelligence He has served as
president of the North American Fuzzy
Information Processing Society and
vice president of the International Fuzzy Systems Association Dr Sudkamp
has published work on mathematical logic, artificial intelligence,
theoretical computer science, and approximate reasoning His current
research interests are in the application of soft computing techniques to
modeling and decision making in complex problem domains
Prof Thomas Sudkamp
Department of Computer Science
Wright State University
Dayton, OH 45435
email: tsudkamp@cswrightedu
www: http://wwwcswrightedu/tsudkamp
phone: 937-775-5118, fax: 937-775-5133
Source:dotnetperformance.com
