Abstract
Interval-valued picture fuzzy linguistic variable concept is introduced in this article, in which we consider principal component and proposed a generalized interval-valued picture fuzzy linguistic induced hybrid aggregation (GIVPLIHA) operator with entropic order-inducing variable and TOPSIS method. Then, we discussed some basic properties of the GIVPLIHA operator. We also discussed an algorithm for linguistic group decision-making based on GIVPLIHA operator and TOPSIS technique. To prove the validity and applicability of the developed method, finally, we solved a decision-making problem of a company to make a policy for the selection of the best investment strategy. We conclude from the comparison and sensitive analysis that the proposed decision-making method is more effective and reliable than other existing models.