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Fuzzy Relational Systems - Foundations and Principles (Paperback, Softcover reprint of the original 1st ed. 2002)
Loot Price: R4,629
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Fuzzy Relational Systems - Foundations and Principles (Paperback, Softcover reprint of the original 1st ed. 2002)
Series: IFSR International Series in Systems Science and Systems Engineering, 20
Expected to ship within 10 - 15 working days
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Since their inception, fuzzy sets and fuzzy logic became popular.
The reason is that the very idea of fuzzy sets and fuzzy logic
attacks an old tradition in science, namely bivalent
(black-or-white, all-or-none) judg ment and reasoning and the thus
resulting approach to formation of scientific theories and models
of reality. The idea of fuzzy logic, briefly speaking, is just the
opposite of this tradition: instead of full truth and falsity, our
judgment and reasoning also involve intermediate truth values.
Application of this idea to various fields has become known under
the term fuzzy approach (or graded truth approach). Both prac tice
(many successful engineering applications) and theory (interesting
nontrivial contributions and broad interest of mathematicians,
logicians, and engineers) have proven the usefulness of fuzzy
approach. One of the most successful areas of fuzzy methods is the
application of fuzzy relational modeling. Fuzzy relations represent
formal means for modeling of rather nontrivial phenomena
(reasoning, decision, control, knowledge extraction, systems
analysis and design, etc. ) in the pres ence of a particular kind
of indeterminacy called vagueness. Models and methods based on
fuzzy relations are often described by logical formulas (or by
natural language statements that can be translated into logical
formulas). Therefore, in order to approach these models and methods
in an appropriate formal way, it is desirable to have a general
theory of fuzzy relational systems with basic connections to
(formal) language which enables us to describe relationships in
these systems.
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