Viable-sustainable supplier selection and order allocation problem considering Industry 5.0 pillars under mixed uncertainty

This work addresses the Supplier Selection and Order Allocation Problem (SSOAP) with two important evolving concepts namely viability and Industry 5.0 (I5.0) wherein sustainability plays a vital role. For this purpose, an efficient decision-making model is developed which is based on Multiple-Criteria Decision-Making (MCDM) techniques. First of all, the suppliers’ scores are measured according to the viability and I5.0 dimensions. To do so, two novel decision-making approaches of Stochastic Fuzzy Best-Worst Method (SFBWM) and Stochastic Fuzzy Technique for Order Preference by Similarity to Ideal Solution (SFTOPSIS) are developed. Then, a multi-objective mathematical model (MOMM) is proposed to choose the most appropriate suppliers and specify the number of orders in which all dimensions of the viability and I5.0 concepts are incorporated. In the next step, a Robust Stochastic-Possibilistic (RSP) technique is employed to treat the mixed uncertainty. Finally, the MOMM is treated with the help of a novel improved Goal Programming (GP) approach; i.e. Lexicographic Chebyshev Revised Multi-Choice Goal Programming (LCRMCGP). A real healthcare system is then investigated as the case study problem to represent the applicability, validity, and performance of the developed model, and eventually, render useful managerial and decision aids.