The aim of this paper is to present a new framework for studying fuzzy measure and Shilkret integral which is an alternative framework from usual fuzzy measure and Shilkret integral. First, we define a fuzzy measure based on binary-element sets, then, we propose Shilkret integral with respect to fuzzy measure based on binary-element sets, and we illustrate our framework by a practical example on synthetic evaluation.
Keywords: Binary-element sets, Fuzzy measures based on binary-element sets, Shilkret integral based on binary-element sets.