Contents

1.1 One-dimensional fuzzy data

2: Fuzzy numbers and fuzzy vectors

2.1 Fuzzy numbers and characterizing functions

2.2 Vectors of fuzzy numbers and fuzzy vectors

3: Mathematical operations for fuzzy quantities

3.1 Functions of fuzzy variables

3.3 Multiplication of fuzzy numbers

3.4 Mean value of fuzzy numbers

Part II: Descriptive Statistics for Fuzzy Data

4.3 Cumulative sum for fuzzy data

5.1 Fuzzy frequency of a fixed class

5.2 Fuzzy frequency distributions

5.3 Axonometric diagram of the fuzzy histogram

6: Empirical distribution functions

6.1 Fuzzy valued empirical distribution function

6.3 Smoothed empirical distribution function

7: Empirical correlation for fuzzy data

7.1 Fuzzy empirical correlation coefficient

Part III: Foundations of Statistical Inference With Fuzzy Data

8: Fuzzy probability distributions