public DefuzzifiedValue Apply(FuzzyValue fuzzyValue)
{
var scaledMembershipFunctions = fuzzyValue.Values.Select(kvp => _msfScalingStrategy.Apply(kvp.Key.MembershipFunction, kvp.Value)).ToList();
var mergeMembershipFunction = _msfMergingStrategy.Apply(scaledMembershipFunctions);
var value = _defuzzifyStrategy.Apply(fuzzyValue.AssociatedVariable.NumericVariable, mergeMembershipFunction);
return new DefuzzifiedValue(fuzzyValue.AssociatedVariable, mergeMembershipFunction, value);
}
public void GetHashCodeTest()
{
var numVariable = new NumericVariable("MyNumVariable");
var fuzzyTerm1 = new FuzzyTerm("FuzzyTerm1",
new MembershipFunction{ { -2, 0 }, { 2, 1 } });
var fuzzyTerm2 = new FuzzyTerm("FuzzyTerm2",
new MembershipFunction{ { -2, 0 }, { 2, 1 } });
var fuzVariable = new FuzzyVariable("MyFuzzyVariable", numVariable, fuzzyTerm1, fuzzyTerm2);
var sut = new FuzzyValue(fuzVariable,new Dictionary<FuzzyTerm, double>{{fuzzyTerm1, 1}});
Assert.AreEqual(fuzVariable.GetHashCode(), sut.GetHashCode());
}
public void Apply_Unit_Test()
{
var numVar = new NumericVariable("Num Variable", 0, 42);
var msf1 = new MembershipFunction { { 1, 0 } };
var msf2 = new MembershipFunction { { 2, 0 } };
var term1 = new FuzzyTerm("Term1", msf1);
var term2 = new FuzzyTerm("Term2", msf2);
const double value1 = 0.3;
const int value2 = 06;
var fuzzyVariable = new FuzzyVariable("Var", numVar, term1, term2);
var fuzzyValue = new FuzzyValue(fuzzyVariable,
new Dictionary<FuzzyTerm, double> {{term1, value1}, {term2, value2}});
var scaledMsf1 = new MembershipFunction {{0, 0}};
var scaledMsf2 = new MembershipFunction {{1, 1}};
var mergedValue = new MembershipFunction {{2, 1}};
const double expectedDefuzzifiedValue = 42;
var mocks = new MockRepository();
var scaleStrategy = mocks.StrictMock<IMsfScalingStrategy>();
var mergeStrategy = mocks.StrictMock<IMsfMergingStrategy>();
var defuzzifyStrategy = mocks.StrictMock<IDefuzzifyStrategy>();
// 1. Scale the membership functions according to the fuzzy value
Expect.Call(scaleStrategy.Apply(msf1, value1)).Return(scaledMsf1).Repeat.Once();
Expect.Call(scaleStrategy.Apply(msf2, value2)).Return(scaledMsf2).Repeat.Once();
// 2. Merge all membership functions into single one
Expect.Call(mergeStrategy.Apply(new[] {scaledMsf1, scaledMsf2})).IgnoreArguments().Return(mergedValue).Repeat.Once();
// 3. Create a defuzzified value for the result of the previous merge.
Expect.Call(defuzzifyStrategy.Apply(numVar, mergedValue)).Return(expectedDefuzzifiedValue).Repeat.Once();
mocks.ReplayAll();
var sut = new Defuzzifier(scaleStrategy, mergeStrategy, defuzzifyStrategy);
var result = sut.Apply(fuzzyValue);
Assert.AreEqual(fuzzyVariable, result.Variable);
Assert.AreEqual(mergedValue, result.MembershipFunction);
Assert.AreEqual(expectedDefuzzifiedValue, result.Value);
mocks.VerifyAll();
}
public void SetCurrentScope(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var term = new FuzzyTerm("Term", new MembershipFunction());
var var = new FuzzyVariable("Variable", null, term);
var value = new FuzzyValue(var, new Dictionary<FuzzyTerm, double> { { term, 0.2 } });
var scope = new Scope(value);
var sut = new RuleEvaluation(evaluationStrategy, merger) { InputScope = scope };
Assert.AreEqual(scope, sut.InputScope);
}
private void runTest(Action<Scope, FuzzyValue, FuzzyValue> runAndAssert)
{
var num1 = new NumericVariable("Variable1");
var num2 = new NumericVariable("Variable2");
var term11 = new FuzzyTerm("Var1_Term1", new MembershipFunction());
var term12 = new FuzzyTerm("Var1_Term2", new MembershipFunction());
var term21 = new FuzzyTerm("Var2_Term1", new MembershipFunction());
var term22 = new FuzzyTerm("Var2_Term2", new MembershipFunction());
var var1 = new FuzzyVariable("Variable1", num1, term11, term12);
var var2 = new FuzzyVariable("Variable2", num2, term21, term22);
var value1 = new FuzzyValue(var1, new Dictionary<FuzzyTerm, double> {{term11, 0.4}, {term12, 0.3}});
var value2 = new FuzzyValue(var2, new Dictionary<FuzzyTerm, double> {{term21, 0.1}, {term22, 0.2}});
var sut = new Scope(value1, value2);
runAndAssert(sut, value1, value2);
}
public void ToStringTest()
{
var numVariable = new NumericVariable("MyNumVariable");
var fuzzyTerm1 = new FuzzyTerm("FuzzyTerm1",
new MembershipFunction{ { -2, 0 }, { 2, 1 } });
var fuzzyTerm2 = new FuzzyTerm("FuzzyTerm2",
new MembershipFunction{ { -2, 0 }, { 2, 1 } });
var fuzVariable = new FuzzyVariable("MyFuzzyVariable", numVariable, fuzzyTerm1, fuzzyTerm2);
var sut = new FuzzyValue(fuzVariable,
new Dictionary<FuzzyTerm, double>
{
{fuzzyTerm1, 1},
{fuzzyTerm2, 0.5}
});
Assert.AreEqual(fuzVariable.Identifier + " = ( FuzzyTerm1=1, FuzzyTerm2=0,5 )", sut.ToString());
}
public void Constructor()
{
var numVariable = new NumericVariable("MyNumVariable");
var fuzzyTerm1 = new FuzzyTerm("FuzzyTerm1",
new MembershipFunction{ { -2, 0 }, { 2, 1 } });
var fuzzyTerm2 = new FuzzyTerm("FuzzyTerm2",
new MembershipFunction{ { -2, 0 }, { 2, 1 } });
var fuzVariable = new FuzzyVariable("MyFuzzyVariable", numVariable, fuzzyTerm1, fuzzyTerm2);
var sut = new FuzzyValue(fuzVariable,
new Dictionary<FuzzyTerm, double>
{
{fuzzyTerm1, 1},
{fuzzyTerm2, 0.5}
});
Assert.AreEqual(fuzVariable, sut.AssociatedVariable);
Assert.AreEqual(2, sut.Values.Count);
Assert.AreEqual(1, sut.Values[fuzzyTerm1]);
Assert.AreEqual(0.5, sut.Values[fuzzyTerm2]);
}
public void Apply_With_Merging_of_Values([Values("Max", "Min", "Sum", "Average")] string strategyName)
{
var strategy = createMergingStrategy(strategyName);
var term1 = new FuzzyTerm("Term1", new MembershipFunction());
var term2 = new FuzzyTerm("Term2", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, term1, term2);
var value1 = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { term1, 0.6 } });
var value2 = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { term1, 0.8 }, { term2, 0.6 } });
var sut = new FuzzyValueMerger(strategy);
var result = sut.Apply(new List<FuzzyValue> { value1, value2 });
Assert.AreEqual(1, result.Count);
Assert.AreEqual(varA, result[0].AssociatedVariable);
Assert.AreEqual(2, result[0].Values.Count);
Assert.IsTrue(result[0].Values.ContainsKey(term1));
Assert.IsTrue(result[0].Values.ContainsKey(term2));
Assert.AreEqual(strategy.Merge(new List<double>{value1.Values[term1], value2.Values[term1]}), result[0].Values[term1]);
Assert.AreEqual(value2.Values[term2], result[0].Values[term2]);
}
public void Visit_Value_Expression_Fails_Variable_Not_Found(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var termA = new FuzzyTerm("Term A", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, termA);
var termB = new FuzzyTerm("Term B", new MembershipFunction());
var varB = new FuzzyVariable("Variable B", null);
var value = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA, 0.2 } });
var sut = new RuleEvaluation(evaluationStrategy, merger) { InputScope = new Scope(value) };
Assert.Throws<UnresolvedVariableException>(() => sut.Visit(new ValueExpression(varB, termB)));
}
public void Apply_Many_Implication_With_Value_Override(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var termA1 = new FuzzyTerm("TermA1", new MembershipFunction());
var termA2 = new FuzzyTerm("TermA1", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, termA1, termA2);
var value = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA1, 0.2 }, { termA2, 0.6 } });
var sut = new RuleEvaluation(evaluationStrategy, merger) { InputScope = new Scope(value) };
var impl1 = new FuzzyImplication(new AndExpression(new ValueExpression(varA, termA1), new ValueExpression(varA, termA2)), new ValueExpression(varA, termA1));
var result = sut.Apply(new Scope(value), new[] { impl1 });
var val = evaluationStrategy.And(0.2, 0.6);
Assert.AreEqual(1, result.Count);
Assert.AreEqual(varA, result[0].AssociatedVariable);
Assert.AreEqual(2, result[0].Values.Count);
// A = A1 got overridden:
Assert.AreEqual(val, result[0].Values[termA1]);
// A = A2 stays the same:
Assert.AreEqual(0.6, result[0].Values[termA2]);
}
public void Apply_Many_Implication_With_Value_Merging(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var termA1 = new FuzzyTerm("TermA1", new MembershipFunction());
var termA2 = new FuzzyTerm("TermA1", new MembershipFunction());
var termB1 = new FuzzyTerm("TermB1", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, termA1, termA2);
var varB = new FuzzyVariable("Variable B", null, termB1);
var value = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA1, 0.5 }, { termA2, 0.6 } });
var sut = new RuleEvaluation(evaluationStrategy, merger) { InputScope = new Scope(value) };
var impl1 = new FuzzyImplication(new ValueExpression(varA, termA1), new ValueExpression(varB, termB1));
var impl2 = new FuzzyImplication(new ValueExpression(varA, termA2), new ValueExpression(varB, termB1));
var result = sut.Apply(new Scope(value), new[] { impl1, impl2 });
var mergedValue = merger.Apply(new FuzzyValue[]
{
new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB1, 0.5 } }),
new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB1, 0.6 } })
});
Assert.AreEqual(2, result.Count);
Assert.AreEqual(varA, result[0].AssociatedVariable);
Assert.AreEqual(2, result[0].Values.Count);
Assert.AreEqual(0.5, result[0].Values[termA1]);
Assert.AreEqual(0.6, result[0].Values[termA2]);
Assert.AreEqual(varB, result[1].AssociatedVariable);
Assert.AreEqual(1, result[1].Values.Count);
Assert.AreEqual(mergedValue[0].Values[termB1], result[1].Values[termB1]);
}
public void Apply_Many_Implication(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var termA1 = new FuzzyTerm("TermA1", new MembershipFunction());
var termA2 = new FuzzyTerm("TermA1", new MembershipFunction());
var termB1 = new FuzzyTerm("TermB1", new MembershipFunction());
var termB2 = new FuzzyTerm("TermB2", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, termA1, termA2);
var varB = new FuzzyVariable("Variable B", null, termB1, termB2);
var value = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA1, 0.4 }, { termA2, 0.6 } });
var sut = new RuleEvaluation(evaluationStrategy, merger);
var impl1 = new FuzzyImplication(new ValueExpression(varA, termA1), new ValueExpression(varB, termB1));
var impl2 = new FuzzyImplication(new ValueExpression(varA, termA2), new ValueExpression(varB, termB2));
var result = sut.Apply(new Scope(value), new[] {impl1, impl2}).ToList();
Assert.AreEqual(2, result.Count);
var valA = result.Find(val => val.AssociatedVariable.Equals(varA));
Assert.IsNotNull(valA);
Assert.AreEqual(2, valA.Values.Count);
Assert.AreEqual(0.4, valA.Values[termA1]);
Assert.AreEqual(0.6, valA.Values[termA2]);
var valB = result.Find(val => val.AssociatedVariable.Equals(varB));
Assert.IsNotNull(valB);
Assert.AreEqual(2, valB.Values.Count);
Assert.AreEqual(0.4, valB.Values[termB1]);
Assert.AreEqual(0.6, valB.Values[termB2]);
}
public void Apply_One_Implication(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var termA = new FuzzyTerm("TermA", new MembershipFunction());
var termB = new FuzzyTerm("TermB", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, termA);
var varB = new FuzzyVariable("Variable B", null, termB);
var value = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA, 0.4 } });
var sut = new RuleEvaluation(evaluationStrategy, merger);
var result = sut.Apply(new Scope(value), new[] {new FuzzyImplication(new ValueExpression(varA, termA), new ValueExpression(varB, termB))});
Assert.AreEqual(2, result.Count);
Assert.AreEqual(varA, result[0].AssociatedVariable);
Assert.AreEqual(1, result[0].Values.Count);
Assert.AreEqual(0.4, result[0].Values[termA]);
Assert.AreEqual(varB, result[1].AssociatedVariable);
Assert.AreEqual(1, result[1].Values.Count);
Assert.AreEqual(0.4, result[1].Values[termB]);
}
public void Visit_Implication_Expression(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var termA = new FuzzyTerm("TermA", new MembershipFunction());
var termB = new FuzzyTerm("TermB", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, termA);
var varB = new FuzzyVariable("Variable B", null, termB);
var value = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA, 0.4 } });
var sut = new RuleEvaluation(evaluationStrategy, merger) { InputScope = new Scope(value) };
var result = sut.Visit(new FuzzyImplication(new ValueExpression(varA, termA), new ValueExpression(varB, termB)));
Assert.AreEqual(0.4, result);
}
public void Visit_Or_Expression(
[Values("Algebraic", "Drastic", "Einstein", "Hamacher", "Lukasiewicz", "MinMax")] string evalStrategyName,
[Values("Average", "Max", "Min", "Sum")] string mergeStrategy)
{
var evaluationStrategy = createEvaluationStrategy(evalStrategyName);
var merger = createFuzzyValueMerger(mergeStrategy);
var term1 = new FuzzyTerm("Term1", new MembershipFunction());
var term2 = new FuzzyTerm("Term2", new MembershipFunction());
var var = new FuzzyVariable("Variable", null, term1, term2);
var value = new FuzzyValue(var, new Dictionary<FuzzyTerm, double> { { term1, 0.2 }, { term2, 0.8 } });
var sut = new RuleEvaluation(evaluationStrategy, merger) { InputScope = new Scope(value) };
var result = sut.Visit(new OrExpression(new ValueExpression(var, term1), new ValueExpression(var, term2)));
Assert.AreEqual(evaluationStrategy.Or(value.Values[term1], value.Values[term2]), result);
}
public void Apply_Complex_Scenario([Values("Max", "Min", "Sum", "Average")] string strategyName)
{
var strategy = createMergingStrategy(strategyName);
var termA1 = new FuzzyTerm("TermA1", new MembershipFunction());
var termA2 = new FuzzyTerm("TermA2", new MembershipFunction());
var varA = new FuzzyVariable("Variable A", null, termA1, termA2);
var termB1 = new FuzzyTerm("TermB1", new MembershipFunction());
var termB2 = new FuzzyTerm("TermB2", new MembershipFunction());
var termB3 = new FuzzyTerm("TermB3", new MembershipFunction());
var varB = new FuzzyVariable("Variable B", null, termB1, termB2, termB3);
var valueA1 = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA1, 0.6 } });
var valueA2 = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA2, 0.1 } });
var valueA3 = new FuzzyValue(varA, new Dictionary<FuzzyTerm, double> { { termA1, 0.8 }, { termA2, 0.6 } });
var valueB1 = new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB1, 0.2 } });
var valueB2 = new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB2, 0.3 } });
var valueB3 = new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB1, 0.8 }, { termB3, 0.6 } });
var valueB4 = new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB3, 0.7 } });
var valueB5 = new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB2, 0.8 }, { termB3, 0.6 } });
var valueB6 = new FuzzyValue(varB, new Dictionary<FuzzyTerm, double> { { termB1, 0.3 }, { termB2, 0.5 }, { termB3, 0.7 } });
var sut = new FuzzyValueMerger(strategy);
var result = sut.Apply(new List<FuzzyValue> { valueA1, valueA2, valueA3, valueB1, valueB2, valueB3, valueB4, valueB5, valueB6 }).ToList();
Assert.AreEqual(2, result.Count);
Assert.IsTrue(result.Exists(v => v.AssociatedVariable.Equals(varA)));
Assert.IsTrue(result.Exists(v => v.AssociatedVariable.Equals(varB)));
// check for varA
var varAValues = result.Find(v => v.AssociatedVariable.Equals(varA));
Assert.AreEqual(2, varAValues.Values.Count);
Assert.IsTrue(varAValues.Values.ContainsKey(termA1));
Assert.IsTrue(varAValues.Values.ContainsKey(termA2));
Assert.AreEqual(strategy.Merge(new List<double> { valueA1.Values[termA1], valueA3.Values[termA1] }), varAValues.Values[termA1]);
Assert.AreEqual(strategy.Merge(new List<double> { valueA2.Values[termA2], valueA3.Values[termA2] }), varAValues.Values[termA2]);
// check for varB
var varBValues = result.Find(v => v.AssociatedVariable.Equals(varB));
Assert.AreEqual(3, varBValues.Values.Count);
Assert.IsTrue(varBValues.Values.ContainsKey(termB1));
Assert.IsTrue(varBValues.Values.ContainsKey(termB2));
Assert.IsTrue(varBValues.Values.ContainsKey(termB3));
Assert.AreEqual(strategy.Merge(new List<double> { valueB1.Values[termB1], valueB3.Values[termB1], valueB6.Values[termB1] }), varBValues.Values[termB1]);
Assert.AreEqual(strategy.Merge(new List<double> { valueB2.Values[termB2], valueB5.Values[termB2], valueB6.Values[termB2] }), varBValues.Values[termB2]);
Assert.AreEqual(strategy.Merge(new List<double> { valueB3.Values[termB3], valueB4.Values[termB3], valueB5.Values[termB3], valueB6.Values[termB3] }), varBValues.Values[termB3]);
}