/// <summary>
/// Mamdani Min Implication Operator
/// </summary>
/// <param name="elementA">FuzzyElement A</param>
/// <param name="elementB">FuzzyElement B</param>
/// <returns>FuzzyElement</returns>
public static IFuzzyElement MamdaniMinImplication(this IFuzzyElement elementA, IFuzzyElement elementB)
{
var fuzzy = elementA.Clone();
fuzzy.Value = elementA.Min(elementB).Value;
return fuzzy;
}
/// <summary>
/// Zadeh Max Min Implication Operator
/// </summary>
/// <param name="elementA">FuzzyElement A</param>
/// <param name="elementB">FuzzyElement B</param>
/// <returns>FuzzyElement</returns>
public static IFuzzyElement ZadehMaxMinImplication(this IFuzzyElement elementA, IFuzzyElement elementB)
{
var fuzzy = elementA.Clone();
fuzzy.Value = elementA.Min(elementB).Max(elementA.Clone(x => x.Value = 1 - elementA.Value)).Value;
return fuzzy;
}
/// <summary>
/// Larsen Product Implication Operator
/// </summary>
/// <param name="elementA">FuzzyElement A</param>
/// <param name="elementB">FuzzyElement B</param>
/// <returns>FuzzyElement</returns>
public static IFuzzyElement LarsenProductImplication(this IFuzzyElement elementA, IFuzzyElement elementB)
{
var fuzzy = elementA.Clone();
fuzzy.Value = elementA.Value * elementB.Value;
return fuzzy;
}
/// <summary>
/// Degree of fulfillment
/// </summary>
/// <param name="fuzzySet">FuzzySet</param>
/// <param name="fuzzyElement">FuzzyElement</param>
/// <returns>FuzzySet</returns>
private static IFuzzySet DegreeOfFulfillment(IFuzzySet fuzzySet, IFuzzyElement fuzzyElement)
{
var result = fuzzySet.GetNewEmpty();
foreach (var element in fuzzySet)
{
result.AddElement(element.Min(fuzzyElement));
}
return result;
}
/// <summary>
/// Add element in the fuzzy set
/// </summary>
/// <param name="element">Elements to add</param>
public void AddElement(IFuzzyElement element)
{
this.Elements.Add(element.X, element);
}
