BWM + Z-number + Zero-Sum Game — Best Worst Method weighting with Z-number payoff matrix and game-theoretic ranking
BWM-ZNUMBER-GAME (BWM + Z-number + Zero-Sum Game — Best Worst Method weighting with Z-number payoff matrix and game-theoretic ranking) is a ranking multi-criteria decision-making (MCDM) method introduced by Adesina, K.A.; Yazdi, M.; Omidvar, M. (hybrid); Rezaei, J. 2015 (BWM); Zadeh, L.A. 2011 (Z-numbers); von Neumann 1928 + Nash 1950 (zero-sum game / Nash equilibrium) in 2022. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
Key highlights
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
Intuition
This section is available to Pro members. Upgrade to Pro
How it works
This section is available to Pro members. Upgrade to Pro
When to use it
G_i represents the expected payoff under Nash equilibrium. Higher G_i = better alternative. G_i = 0 alternatives are ranked iteratively by re-solving the game after removing G_i ≠ 0 rows. BWM weights w*_j modulate the relative importance of criteria in the payoff computation. Sensitivity analysis on confidence levels (B in Z-numbers) is recommended.
Strengths & limitations
- Follows a transparent, reproducible computational procedure that can be audited step by step.
- Handles multiple criteria of differing scales and units within a single decision matrix.
- Results depend on the chosen normalisation, weights, and parameter settings.
Common pitfalls
This section is available to Pro members. Upgrade to Pro
Sources
- 1.Adesina, K. A., Yazdi, M., Omidvar, M. (2022). Emergency Decision Making Fuzzy-Expert Aided Disaster Management System. in: Yazdi M. (ed.), Linguistic Methods Under Fuzzy Information in System Safety and Reliability Analysis, Studies in Fuzziness and Soft Computing, Vol. 414, Springer, Cham, pp. 139-150 (Chapter 6)
You have read it. What now?
Cite this page
ScholarGate. (2026, June 2). BWM-ZNUMBER-GAME. ScholarGate. https://scholargate.app/decision-making/bwm-znumber-game