  The probabilistic linguistic term has been proposed to deal with probability
distributions in provided linguistic evaluations. However, because it has some
fundamental defects, it is often difficult for decision-makers to get
reasonable information of linguistic evaluations for group decision making. In
addition, weight information plays a significant role in dynamic information
fusion and decision making process. However, there are few research methods to
determine the dynamic attribute weight with time. In this paper, I propose the
concept of double fuzzy probability interval linguistic term set (DFPILTS).
Firstly, fuzzy semantic integration, DFPILTS definition, its preference
relationship, some basic algorithms and aggregation operators are defined.
Then, a fuzzy linguistic Markov matrix with its network is developed. Then, a
weight determination method based on distance measure and information entropy
to reducing the inconsistency of DFPILPR and obtain collective priority vector
based on group consensus is developed. Finally, an aggregation-based approach
is developed, and an optimal investment case from a financial risk is used to
illustrate the application of DFPILTS and decision method in multi-criteria
decision making.
