A measure assigns values to sets and generalizes the concept of length, area and volume.
Probability measures are a well known example of measures. Lebesgue measures are …

Linguistic decision making is an important subject in decision making, many interesting and
important linguistic decision making methods have been proposed, in which, alternatives …

The essential role of the particular families of capacities and the capacity identification
methods is to help the decision maker to deal with the exponential complexity inherent in the …

Metric spaces are defined in terms of a space and a metric, or distance. Probabilistic metric
spaces are a useful extension of metric spaces where the distance is a distribution instead of …

Interval‐valued hesitant fuzzy set (IVHFS), which is the further generalization of hesitant
fuzzy set, can overcome the barrier that the precise membership degrees are sometimes …

Non-additive measures (also known as fuzzy measures and capacities) and integrals have
been used in several types of applications. In this chapter we review the main definitions …

Our objective here is to study the role that fuzzy measures can play in systems reliability
modeling. We first introduce some basic ideas from fuzzy measure theory and then introduce …

We propose fuzzy measure identification methods for a hierarchy diagram. A hierarchy
diagram displays the multi-level hierarchical relationships among the evaluation criteria …

Fuzzy measures on multisets are studied in this paper. We show that a class of multisets on
a finite space can be represented as a subset of positive integers. Comonotonicity for …

We discuss the implication of the fuzzy measure's weights and the interaction degrees. The
implications of fuzzy measure's weights are the average effects and the input numbers. The …