Demoulas Super Markets said Tuesday it is considering a variety of strategic alternatives, including a possible sale.

However, it noted that, “despite reports to the contrary,” Arthur T. Demoulas, the deposed president, is “but one of several potential buyers … who continue to express a strong interest in purchasing the company.”

Demoulas was fired by the board in mid-June.

In a formal statement the company’s board of directors said Demoulas’ offer provides “a path toward solving many of the problems he has helped to create, [though] it is but one alternative among the options the board is reviewing. The board will continue to evaluate all the alternatives and ultimately make its recommendation to shareholders.”

The board also pointed out it has “no authority or right” to force shareholders to accept any particular offer “as that decision rests solely with the shareholders.”

Representatives of Arthur T. Demoulas could not be reached for comment

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