To hear and decide appeals where it is alleged by the appellant that there is error in any order, requirement, decision, or refusal made by an administrative officer or agency based on or made in the enforcement of the zoning regulations of this chapter.

To hear and decide requests for interpretation of the map or zoning regulations of this chapter, or for decisions upon other special questions upon which such board is authorized by this chapter to pass.

To grant variances in accordance with the provisions of the Municipal Land Use Law, including but not limited to variances under N.J.S.A. 40:55D-70(c) and (d) as amended and supplemented.

It is further the intent of this chapter to confer upon the board as full and complete powers as may lawfully be conferred upon zoning boards of adjustment, including, but not by way of limitation, the authority, in connection with any case, action or proceeding before the board, to interpret and construe the provisions of this chapter, or any term, clause, sentence or word hereof, in accordance with the general rules of construction, applicable to legislative enactments.