Sustainable supplier selection and order allocation using hybrid fuzzy weighting methods, scenario-based programming, and flexible robust optimisation

Marzieh Saneei, Mehdi Seifbarghy and Mohsen Hamidi

International Journal of Mathematics in Operational Research, 2026, vol. 33, issue 2, 238-285

Abstract: In this research, a sustainable supplier selection and order allocation problem under uncertainty is modelled and solved. To weigh supplier selection criteria, four fuzzy methods have been applied. To determine suppliers' scores, two approaches of fuzzy Taguchi loss function (F-TLF) and fuzzy technique for order preference by similarity to ideal solution (F-TOPSIS) are used. Suppliers' scores are then incorporated into an objective function of a multi-objective optimisation model to allocate orders to suppliers. Three models of scenario-based programming, flexible robust programming, and a new scenario-based and flexible robust hybrid programming are presented. The optimisation objectives are minimising purchasing cost, maximising supplier desirability, and maximising value of purchasing from best suppliers. To solve the models, a hybrid method of Lai and Hwang and Torabi-Hassini is proposed. The three models have been solved using real data from the electronics industry.

Keywords: supplier selection and order allocation; SSOA; fuzzy Taguchi loss function; F-TLF; flexible robust optimisation. (search for similar items in EconPapers)
Date: 2026
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