Abstract
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.
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© 1980 Plenum Press, New York
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Dubois, D., Prade, H. (1980). New Results about Properties and Semantics of Fuzzy Set-Theoretic Operators. In: Wang, P.P., Chang, S.K. (eds) Fuzzy Sets. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3848-2_6
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DOI: https://doi.org/10.1007/978-1-4684-3848-2_6
Publisher Name: Springer, Boston, MA
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