Water is one of the most essential element on earth, as life cannot exist without it. Effective water resource management has therefore become immensely critical due to rising demand and the need for sustainable conservation. In this context, Roy and Bhaumik (2018) proposed that fuzzy game theory offers a novel framework for managing water resources under high-demand conditions, claiming that it has received limited attention in prior research. They developed an approach to solve fuzzy matrix games using triangular type-2 intuitionistic fuzzy numbers (TT2IFNs) for water management problems. However, this paper demonstrates that Roy and Bhaumik’s approach is invalid, yielding erroneous optimal solutions due to the adoption of mathematically incorrect assumptions. To substantiate this claim, a representative matrix game with TT2IFN payoffs is solved using their method, which shows that the resulting optimal solution is incorrect. To overcome the invalidity of their approach, a new methodology is proposed to solve fuzzy matrix games with TT2IFN as payoffs. The proposed method is mathematically rigorous, computationally efficient, and provides correct optimal solutions. Its effectiveness is illustrated through numerical examples in the context of water resource management.
