Search results for "Fuzzy equivalence relation"

showing 2 items of 2 documents

Aggregation of Risk Level Assessments Based on Fuzzy Equivalence Relation

2017

The paper deals with the problem of aggregation of risk level assessments. We describe the technique of a risk level evaluation taking into account values of the risk level obtained for objects which are in some sense equivalent. For this purpose we propose to use the construction of a general aggregation operator based on the corresponding fuzzy equivalence relation. Numerical example of the investment risk level aggregation using an equivalence relation obtained on the basis of different macroeconomic factors for countries of one region is considered.

Discrete mathematics0209 industrial biotechnologyMathematical optimizationRisk levelBasis (linear algebra)Financial risk02 engineering and technologyFuzzy equivalence relation020901 industrial engineering & automationOperator (computer programming)0202 electrical engineering electronic engineering information engineeringEquivalence relation020201 artificial intelligence & image processingMathematics
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On Extensional Fuzzy Sets Generated by Factoraggregation

2014

We develop the concept of a general factoraggregation operator introduced by the authors on the basis of an equivalence relation and applied in two recent papers for analysis of bilevel linear programming solving parameters. In the paper this concept is generalized by using a fuzzy equivalence relation instead of the crisp one. We show how the generalized factoraggregation can be used for construction of extensional fuzzy sets and consider approximations of arbitrary fuzzy sets by extensional ones.

AlgebraOperator (computer programming)Basis (linear algebra)Approximations of πFuzzy setEquivalence relationBilevel linear programmingExtensional definitionFuzzy equivalence relationMathematics
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