Market Basket is heading to mediation in hopes of resolving the ongoing feud between the grocery chain and its suspended chief executive, Arthur T. Demoulas.

Both sides have agreed to “put the issues between them” before a mediator Sept. 3 “in hopes of avoiding litigation and reaching a quicker and amicable resolution that is in the best interest of Market Basket’s associates, customers and the communities it serves,” Demoulas spokesperson Justine Griffin announced Tuesday.

Market Basket’s board placed the CEO and several other employees on paid leave back in May amid an investigation into allegations that Demoulas was planning a work stoppage. At the time, the board suggested Demoulas — a popular leader affectionately known as “Artie T.” — meant to take retaliatory action after boa

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