Logical Twofold Integral

Abstract

The aim of this paper is to present a new framework for studying capacities andtwofold integral from a point of view of two-valued logic. In this framework, wepropose equivalent definitions of capacities and twofold integral that may be moreeasily interpretable. First, we define a logical capacity, then, we propose definition oflogical twofold integral with respect to logical capacities based on the two-valuedlogic.

Keywords

• capacities
• fuzzy integrals
• twofold integral
• fuzzy logic
• two
• valued logic