Set Operations on Fuzzy Sets

package javaapplication1;

import java.util.Scanner;

public class JavaApplication1 {

    static void printFuzzySet(double d[]) {


        for (int i = 0; i < d.length; i++) {

            double newKB = Math.round(d[i] * 100.0) / 100.0;
            System.out.print(newKB + "/" + (i + 1));
            if(i != d.length-1)
                System.out.print("+");
        }
        System.out.println("\n");

    }

    static double[] complement(double[] d) {

        for (int i = 0; i < d.length; i++) {
            d[i] = 1 - d[i];
        }
        return d;

    }

    static double[] union(double a[], double[] b) {
        double[] union = new double[a.length];

        for (int i = 0; i < union.length; i++) {
            if (a[i] < b[i]) {
                union[i] = b[i];
            } else {
                union[i] = a[i];
            }

        }

        return union;
    }

    static double[] inter(double a[], double[] b) {
        double[] inter = new double[a.length];

        for (int i = 0; i < inter.length; i++) {
            if (a[i] > b[i]) {
                inter[i] = b[i];
            } else {
                inter[i] = a[i];
            }

        }

        return inter;
    }

    static void difference(double[] a, double[] b) {
        double[] diff = new double[a.length];

        b = complement(b);
        diff = union(a, b);

        printFuzzySet(diff);
    }

    /**
     * @param args the command line arguments
     */
    public static void main(String[] args) {
        // TODO code application logic here

        Scanner sc = new Scanner(System.in);
        System.out.println("Enter the universal set limit: ");
        int limit = sc.nextInt();

        double arr1[] = new double[limit];
        double arr2[] = new double[limit];

        System.out.println("Enter the membership for each element in fuzzy set A");
        for (int i = 0; i < limit; i++) {
            System.out.println("For element " + (i + 1) + ":");
            arr1[i] = sc.nextDouble();
        }

        System.out.println("Enter the membership for each element in fuzzy set B");
        for (int i = 0; i < limit; i++) {
            System.out.println("For element " + (i + 1) + ":");
            arr2[i] = sc.nextDouble();
        }

        double union[] = union(arr1, arr2);


        System.out.println("A \u222A B : ");
        printFuzzySet(union);

        double inter[] = inter(arr1, arr2);


        System.out.println("A \u2229 B : ");
        printFuzzySet(inter);

        double[] arr1Comp = complement(arr1);
        System.out.println("Complement of A is: ");
        printFuzzySet(arr1Comp);
        System.out.println("Complement of B is: ");
        double[] arr2Comp = complement(arr2);
        printFuzzySet(arr2Comp);


        System.out.println("A - B: ");
        difference(arr1, arr2);
        System.out.println("B - A: ");
        difference(arr2, arr1);


        System.out.println("De Morgan's theorem: ");

        System.out.println(" Complement of A \u222A B is: ");

        double aub[] = complement(union(arr1,arr2));
        printFuzzySet(aub);

        System.out.println(" ~A \u2229 ~B is: ");
        aub = inter(complement(arr1),complement(arr2));
        printFuzzySet(aub);

    }


}





/*
run:
Enter the universal set limit:
3
Enter the membership for each element in fuzzy set A
For element 1:
0.5
For element 2:
0.6
For element 3:
0.7
Enter the membership for each element in fuzzy set B
For element 1:
0.9
For element 2:
0.8
For element 3:
0.3
A ∪ B :
0.9/1+0.8/2+0.7/3

A ∩ B :
0.5/1+0.6/2+0.3/3

Complement of A is:
0.5/1+0.4/2+0.3/3

Complement of B is:
0.1/1+0.2/2+0.7/3

A - B:
0.9/1+0.8/2+0.3/3

B - A:
0.9/1+0.8/2+0.7/3

De Morgan's theorem:
 Complement of A ∪ B is:
0.1/1+0.2/2+0.3/3

 ~A ∩ ~B is:
0.1/1+0.2/2+0.3/3
*/