  The Best-Worst Method (BWM) is a well-known Multi-Criteria Decision-Making
(MCDM) method. This article deals with the multiplicative model of BWM. We
first formulate an optimization model that is equivalent to the existing
multiplicative model. This model provides a solid foundation for obtaining an
analytic form of optimal interval-weights, Consistency Index (CI) and
Consistency Ratio (CR). The proposed approach does not require any optimization
software, which makes it easy to implement as well as time efficient. Also, the
obtained analytical form of CR permits it to serve as an input-based
consistency measure. After obtaining these analytic forms, a secondary
objective function is introduced to select the best optimal weight set from the
collection of all optimal weight sets. Finally, we discuss some numerical
examples and a real-world application of the proposed approach in ranking the
drivers of Sustainable Additive Manufacturing (SAM) to illustrate the proposed
approach.
