QUOTE from:
Lucas, C. (2002c) Fuzzy Multidimensional Logic, Available from: http://www.calresco.org/lucas/fuzzy.htm; accessed on 2/03/05.
'Logic to most people relates to two state thinking, the idea that the outcome can only be either true or false, 1 or 0, right or wrong. This form of logic dates back to ancient Greece and is perfectly adequate to answer simple questions in single dimensions, for example, if A is 1 and B is 0 what is A AND B? It can be extended, as is done in Boolean algebra to more complex questions, as long as all the parts can be described using the same restricted alphabet of two symbols. Such logic is a deductive way of understanding consequences, and a highly valuable intellectual technique. ...
But this sort of logic is inadequate when we need to reason about variables that have more than two values, or in cases where multiple incompatible variables are involved. Yet we still need to make decisions in these cases, so how can we proceed ? Bivalent, or two state, logic is just a subset of a more powerful type of logic known as fuzzy logic, ... it can be used to evaluate choices both in the multivalued scenarios of one variable and more importantly in the multidimensional scenarios common to complex systems incorporating multiple variables.'
QUOTE from:
Lucas, C. (2005) Fuzzy Logic definition, Available from: http://www.calresco.org/glossary.htm;
accessed on 27/2/05
Fuzzy Logic
A way of dealing with uncertain information and variables that do not permit simple yes/no categorisations (e.g. colour). Can also be used to make decisions where uncertainty occurs (fuzzy control). This is a form of nonAristotelian logic (see general semantics).
I used an understanding of Fuzzy logic to stimulate my
playing of Rhizomopoly.
2.3 (see also Lucas, 2005c),
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