New results about properties and semantics of fuzzy set-theoretic operators. (English) Zbl 0593.04004

Fuzzy sets. Theory and applications to policy analysis and information systems, Proc. Symp., Durham/N.C. 1980, 59-75 (1980).
Summary: [For the entire collection see Zbl 0588.00003.]
This communication is a first step towards a general approach to fuzzy set-theoretic operators, i.e. algebraic operators which coincide with set-operators when membership values are crisp. Some properties of subclasses of such fuzzy set-theoretic operators are investigated. Specific examples are given. An attempt to discuss a possible interpretation of these operators is proposed. The choice of a good operator in a given practical situation can be crucial in decision analysis, information retrieval, pattern recognition for the purpose of aggregating several pieces of information.


03E20 Other classical set theory (including functions, relations, and set algebra)
03E72 Theory of fuzzy sets, etc.
03B52 Fuzzy logic; logic of vagueness
91B06 Decision theory
68P20 Information storage and retrieval of data
68T10 Pattern recognition, speech recognition


Zbl 0588.00003