Page 313 - Electrical Engineering Dictionary

fuzzy plus the operation of plus applied fuzzy rule-based system system based
to a fuzzy set to give an intermediate effect on fuzzy IF-THEN rules, or another name
of concentration. See also fuzzy minus. for fuzzy systems. See also fuzzy inference
system.
fuzzy PROLOG the PROLOG program-
ming language incorporating fuzzy quanti-
fuzzy rules of operation a system of rela-
ties and fuzzy logic operations.
tional assignment equations for the represen-
tation of the meaning of a fuzzy proposition.
fuzzy proposition a proposition in which
the truth or falsity is a matter of degree.
fuzzy self-tuning self-tuning based on
fuzzy reasoning approximate reasoning fuzzy logic concepts or fuzzy systems with
based on fuzzy quantities and fuzzy rules. some kind of self-tuning strategy or adapta-
See also approximate reasoning. tion.

fuzzy relation a fuzzy set representing the fuzzy set introduced by L. Zadeh (1965).
degree of association between the elements A fuzzy set A in a universe of discourse X is
of two or more universes of discourse. See
characterized by a membership function µ A
also fuzzy set. which maps each element of X to the inter-
val [0, 1]. A fuzzy set may be viewed as a
fuzzy relational algorithm a fuzzy al- generalization of a classical (crisp) set whose
gorithm that serves to describe a relation or membership function only takes two values,
relations between fuzzy variables. zero or unity. See also crisp set, membership
function.
fuzzy relational matrix a matrix whose
elements are membership values of the corre-
fuzzy singleton a fuzzy set of member-
sponding pairs belonging to a fuzzy relation.
ship value equal to 1 at a single real-valued
fuzzy relaxation a relaxation technique point and 0 at all other points in the universe
of discourse. See also membership function,
with fuzzy membership functions applied.
fuzzy set.
fuzzy restriction a fuzzy relation that
places an elastic constraint on the values that fuzzy sliding mode control a combina-
a variable may take. tion of available mathematical description of
the system dynamics with its linguistic de-
fuzzy rule See fuzzy IF-THEN rule. scription in terms of IF-THEN rules. In the
early stages of fuzzy logic control, fuzzy
fuzzy rule bank a collection of all fuzzy modeling meant just a linguistic description
rules that are arranged in N-dimensional in terms of IF-THEN rules of the dynamics
maps. of the plant and the control objective. See
also TSK fuzzy model and fuzzy system.
fuzzy rule base a set of fuzzy IF-THEN
rules. It is a central component of a fuzzy
fuzzy space the region containing the
system and defines major functions of a fuzzy
fuzzy sets created by set theoretic operations,
system.
as well as the consequent sets produced by
fuzzy rule minimization a technique to approximate reasoning mechanisms.
simplify the antecedent and consequent parts
of rules and to reduce the total number of fuzzy state feedback fuzzy control based
rules. on feedback of plant states.

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2000 by CRC Press LLC