Time-Validating-Based Atanassov's Intuitionistic Fuzzy Decision Making

Decisions are usually made based on the amount of information available at a given time, and thus, the time when a decision is made is critical to its quality, especially in uncertain environments. Following the concepts of Atanassov's temporal intuitionistic fuzzy sets (ATIFSs), this paper proposes time-validating Atanassov's intuitionistic fuzzy sets (TvAIFSs) to make an earlier decision based on the desired information level. Several useful theorems that extend the concepts of ATIFSs are derived to supplement some definitions of TvAIFSs. Three measures are developed to improve decision making within a time horizon. A numerical example is used to demonstrate the applicability of the proposed theorems and measures of TvAIFSs in which the subjective and objective decision time-moments are determined based on a decision-maker's attitude and the optimal profit, respectively.