Some comments on fuzzy variables with different membership functions (Q1933769)
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scientific article; zbMATH DE number 6130834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some comments on fuzzy variables with different membership functions |
scientific article; zbMATH DE number 6130834 |
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Some comments on fuzzy variables with different membership functions (English)
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25 January 2013
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The author uses \textit{S. Nahmias}' definition of possibilistic fuzzy variables [Fuzzy Sets Syst. 1, 97--110 (1978; Zbl 0383.03038)] and investigates the membership function of a finite sum of \(n\) such unrelated fuzzy variables, where the membership function of the first summand is different from the membership functions of the following \(n-1\) summands. He proves three theorems and generalizes results by \textit{D. H. Hong} and \textit{H. Kim} [Fuzzy Sets Syst. 93, No. 1, 121--124 (1998; Zbl 0919.04007)]. The results are of interest in the context of renewal theory.
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possibilistic fuzzy variables
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finite sum of fuzzy variables
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fuzzy renewal process
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