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Note on the merge of two maximum models under same constraints

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In this note, we reviewed a popular paper of Li that published in Journal of Computer and System Sciences 70 (2005) 73-85. His paper had been referred more than two hundred and twenty six times. Based on the high citation, a detailed examination of his paper is necessary. We pointed out that the core of his solution method is merged two maximum problems into one which have the same constraints. We provided a counter example to reveal that his merge is questionable so that his proposed maximum problem needs revision. Moreover, we offered a possible outlet for his original two maximum problems.
... They provided numerical examples to demonstrate their findings. Chuang et al. [3] pointed out a common approach to merge two maximum problems into one which have the same constraints that is questionable and then they provided a new solution method. Tung and Chu [8] developed a new method to derive the fuzzy weighted average for fuzzy numbers with fuzzy weights. ...
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