An induced OWA operator in coal mine safety evaluation

Abstract

Aggregation operators are crucial to decision-makers when they make decisions. The Ordered Weighted Aggregation (OWA) is the most common operator to aggregate the arguments that are the exact numerical values. However, the decision-makers may have vague knowledge about the decision information, and canʼt estimate their decision information with exact numerical values. Later, some new families of OWA operators appeared, e.g., a Linguistic Ordered Weighted Geometric Averaging (LOWGA) operator. Inspired by LOWGA, we propose an induced LOWGA operator, and then study some desirable properties of the operator. Based on the operator, we propose a decision-making method for coal mine safety evaluation. Safety is not only an eternal topic in coal mining but also is fundamental in the process of coal mine production, so it is important to establish a scientifically justified evaluation system and aggregate the decision information with the linguistic values. In this paper, the method is straightforward and has no loss of information, because we not only consider the weight of the factors affecting coal mine safety, but also take the ordered position of the factors in aggregation process. Both the theoretical analysis and the comparative results show that the method can better reflect the real situations in coal mine safety evaluation.