Bezdek, James C.

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ORIGINAL P V::£
BLACK AND WHITE PnufOGRARH
.
James C. Bezdek, Ph.D.
Boeing Electronics
Company
Seatt le, Washington
Dr. Bezdek received his B.S. in c i v i l engineering from the University of
Nevada (Reno) in 1969, and his Ph.D. in applied mathematics from Cornell
University in 1973- Currently, he is the director of the Information
Processing Lab at the Boeing Electronics High Tech Center. Dr. Bezdek is
the past president of NAFIPS, the current president of IFSA, and the editor
of the International Journal of Approximate Reasoning. His research
interests .include pattern recognition, expert systems, information
retrieval, and optimization.
KNOWLEDGE REPRESENTATION BY LINGUISTIC
TRANSITIVE CLOSURES OF TRAPEZOIDAL FUZZY NUMBERS
Abstract
We present a theory for the representation and manipulation of uncertainties
that might be supplied by an expert (or team thereof) about object-pair
relationships in some knowledge domain. We propose a theory based on the
representation of relational knowledge by semantic term sets and trapezoidal
fuzzy numbers. The extended max - (*) l i n g u i s t i c transitive closure (LTC)
is offered as a means for consistency enforcement and completion of partial
knowledge in the relational network. Theorems are given that provide
conditions for the existence and uniqueness of the LTC under three
(extended) T-norms. We present an algorithm for computing each LTC and
exhibit a number of features of this method through numerical examples.
https://ntrs.nasa.gov/search.jsp?R=19910073815 2020-03-17T14:40:41+00:00Z


Knowledge representation by linguistic transitive closures of trapezoidal fuzzy numbers

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