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Fuzzy intersection equations and primary representations
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DOI：10.1016/0165-0114(95)00321-5.png)
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摘要
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Let R be a commutative ring. We show that if every ideal of R has a primary representation, then a finitely generated fuzzy ideal mu of R has a fuzzy primary representation which contains a primary representation of the support of mu. We show how this result can be applied to a system of fuzzy intersection equations in order to display the crisp part and the fuzzy part of the solution.
Keyword:
ring
fuzzy ideal
primary representation
fuzzy generating set
principal ideal ring
Artinian ring
fuzzy intersection equations
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