President - Peter Tsykov (member of The Canadian Public Relations Society)
Fuzzy Set
In mathematics, fuzzy sets are sets whose elements have degrees of membership.
In classical set theory, the membership of elements in a set is assessed in binary
terms according to a bivalent condition — an element either belongs or does not
belong to the set. By contrast, fuzzy set theory permits the gradual assessment of
the membership of elements in a set; this is described with the aid of a
membership function valued in the real unit interval [0, 1]. Fuzzy sets generalize
classical sets.

Decision-Making in a Fuzzy Environment
R. E. Bellman, L. A. Zadeh
Published Online: December 1, 1970

By decision-making in a fuzzy environment is meant a decision process in
which the goals and/or the constraints, but not necessarily the system
under control, are fuzzy in nature. This means that the goals and/or the
constraints constitute classes of alternatives whose boundaries are not
sharply defined.
Fuzzy goals and fuzzy constraints can be defined precisely as fuzzy sets in
the space of alternatives. A fuzzy decision, then, may be viewed as an
intersection of the given goals and constraints. A maximizing decision is
defined as a point in the space of alternatives at which the membership
function of a fuzzy decision attains its maximum value.
The use of these concepts is illustrated by examples involving multistage
decision processes.
Doc #: 38    Edit
  © PT News & Analytics Inc. All rights reserved