A fuzzy ordering on multi-dimensional fuzzy sets induced from convex cones (Q1855501)
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scientific article; zbMATH DE number 1864844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fuzzy ordering on multi-dimensional fuzzy sets induced from convex cones |
scientific article; zbMATH DE number 1864844 |
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A fuzzy ordering on multi-dimensional fuzzy sets induced from convex cones (English)
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5 February 2003
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The authors introduce a fuzzy relation, which is a fuzzy partial ordering, induced by closed convex cones. Next, a pseudo-order regarding fuzzy sets on \(R^n\) is given by inclusions defined from the fuzzy relation. The authors discuss a method to approximate the degree of the fuzzy order by discrete ones numerically. Numerical examples are also given to illustrate this idea.
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multi-dimensional fuzzy set
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multi-criteria decision making
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degree of a fuzzy order
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fuzzy relation
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fuzzy partial ordering
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convex cones
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pseudo-order
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