Physics

Fuzzy set operations

Type-2 fuzzy sets and systems

Mathematics

Fuzzy measure theory

Data mining

Statistics

Mathematical optimization

Measurement uncertainty

Uncertainty analysis

Artificial intelligence

Composite material

Power (physics)

Set (abstract data type)

Fuzzy number

Materials science

Programming language

Range (aeronautics)

Geometry

Constraint (computer-aided design)

Measure (data warehouse)

Computer science

Quantum mechanics

Cardinality (data modeling)

Fuzzy set

Reliability (semiconductor)

Fuzzy logic

IEEE Transactions on Fuzzy Systems

Z-number is a new framework of fuzzy sets that combines with constraint and reliability. Managing the uncertainty of Z-number is an important issue in the fuzzy decision making of Z-number based. In this paper, we first develop a new uncertainty measure of fuzzy set considering the influence of fuzziness measure and the range (or cardinality) of the fuzzy set. Some properties of the developed uncertainty measure of the fuzzy set are presented. We then propose and discuss method of measuring the uncertainty of Z-number. Examples are used to illustrate the effectiveness of the proposed methodologies.

A Method of Measuring Uncertainty for Z-Number