Fuzzy/Intuitionistic Fuzzy Measures and Fuzzy Integrals

Classical measure holds additive property. Additive property can be very useful in many applications but may not be adequate in real‐time world problems such as in approximate reasoning, fuzzy logic, artificial intelligence, data mining, and so on. This chapter provides an overview of different types of fuzzy measures such as possibility measure, belief measure, plausibility measures, and necessity measures. The basic property of Sugeno and Choquet integrals, in particular, is that they are extensively used as an aggregation operator. They are used in different types of decision‐making applications to model situations in which sources are independent and also situations where the sources are not independent. Fuzzy integrals combine the data obtained from different information sources based to a fuzzy measure.