Affiliations: [a] School of Computing, SASTRA University, Thanjavur, Tamil Nadu, India
| [b] Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India
Correspondence:
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Corresponding author. Samarjit Kar, Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India. E-mail: samarjit.kar@maths.nitdgp.ac.in.
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.
Keywords: Decision making, probabilistic linguistic term set, statistical variance and WASPAS method
