(a) "Municipal theme district" shall mean a geographic area designated by a county, city, town or village, pursuant to section nine hundred ninety-d of this article, to be a theme district for the purpose of promoting, advancing or coordinating an approved theme pursuant to section nine hundred ninety-c of this article.

(b) "Theme district board" shall mean the board of directors of the theme district, appointed by the county, city, town or village establishing the district, and responsible for the administration and operation of the district.