We introduce a new coherent risk measure, the minimal-entropy risk measure, which is built on the minimal-entropy 𝜎 …-martingale measure - a concept inspired by the well-known minimal-entropy martingale measure used in option pricing. While the minimal …-entropy martingale measure is commonly used for pricing and hedging, the minimal-entropy 𝜎-martingale measure has not previously been …

The knowledge measure of fuzzy sets (FSs) has drawn greater attention and is still unresolved since it is the … exponential entropy-based knowledge measure for fuzzy sets to quantify the knowledge amount conveyed by fuzzy sets. Intuitive … demonstrated with numerical examples. In addition, a new measures is proposed from the exponential knowledge measure (i …