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Concepts and fuzzy logic. (English) Zbl 1231.03002

Cambridge, MA: MIT Press (ISBN 978-0-262-01647-6/hbk). x, 274 p. (2011).
Publisher’s description: The classical view of concepts in psychology was challenged in the 1970s when experimental evidence showed that concept categories are graded and thus cannot be represented adequately by classical sets. The possibility of using fuzzy set theory and fuzzy logic for representing and dealing with concepts was recognized initially but then virtually abandoned in the early 1980s. In this volume, leading researchers – both psychologists working on concepts and mathematicians working on fuzzy logic – reassess the usefulness of fuzzy logic for the psychology of concepts.
The book begins with two tutorials – one on concepts and the other on fuzzy logi – aimed at making relevant experimental and theoretical issues accessible to researchers in both fields. The contributors then discuss the experiments that led to the rejection of the classical view of concepts; analyze the various arguments against the use of fuzzy logic in the psychology of concepts and show that they are fallacious; review methods based on sound measurement principles for constructing fuzzy sets; introduce formal concept analysis and its capabilities when generalized by using fuzzy logic; consider conceptual combinations; examine lexical concepts; and propose a research program based on cooperation between researchers in the psychology of concepts and fuzzy logic.
The articles of this volume will not be indexed individually.

MSC:

03-06 Proceedings, conferences, collections, etc. pertaining to mathematical logic and foundations
03B52 Fuzzy logic; logic of vagueness
03B80 Other applications of logic
03E72 Theory of fuzzy sets, etc.
91E10 Cognitive psychology
00B15 Collections of articles of miscellaneous specific interest
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