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On a canonical representation of fuzzy numbers. (English) Zbl 0916.04004
Summary: Fuzzy numbers, and more generally linguistic values, are approximate assessments, given by experts and accepted by decision-makers when obtaining more accurate values is impossible or unnecessary. To simplify the task of representing and handling fuzzy numbers, several authors have introduced real indices in order to capture the information contained in a fuzzy number. In this paper we propose two parameters, value and ambiguity, for this purpose. We use these parameters to obtain canonical representations and to deal with fuzzy numbers in decision-making problems. Several examples illustrate these ideas.

MSC:
03E72 Theory of fuzzy sets, etc.
91B06 Decision theory
68T30 Knowledge representation
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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