A decision-making framework under probabilistic linguistic term set for multi-criteria group decision-making problem

Abstract

This paper focuses on proposing a new decision framework under probabilistic linguistic term set (PLTS) for rational decision making. The PLTS concept is a generalization of hesitant fuzzy linguistic term set (HFLTS) which overcomes the limitation of HFLTS by associating occurring probability to each linguistic term. Initially, a new aggregation operator is presented for fusing decision makers’ (DMs) preferences. Following this, a new extension is put forward for statistical variance (SV) method under PLTS for criteria weight calculation and a new extension is presented for WASPAS (weighted arithmetic sum product assessment) method under PLTS context for ranking objects. The applicability of the proposed decision framework is demonstrated by using a numerical example and the strength and weakness of the proposal are investigated by comparison with other state-of-the-art methods.