The mean value of a fuzzy number (Q1097242)
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scientific article; zbMATH DE number 4033676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The mean value of a fuzzy number |
scientific article; zbMATH DE number 4033676 |
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The mean value of a fuzzy number (English)
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1987
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The concept of a mean value (expectation) of a fuzzy number is introduced being consistent with its counterpart in probability theory. Fuzzy numbers (intervals) are viewed as consonant random sets, and the fact that a possibility measure is a particular case of Dempster's upper probability is employed. Upper and lower expectations of a fuzzy number are proposed. Finally, issues related to employing measure-theoretic concepts in possibility theory are mentioned.
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probability theory
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interval analysis
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expectation
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fuzzy number
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intervals
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consonant random sets
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possibility measure
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Dempster's upper probability
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possibility theory
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0.9037274
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0.8926951
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0.8896471
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0.87814456
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0.8764393
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0.8740909
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