Sugeno integral, as a crucial tool and analytical method for solving uncertainty problems involving measurement of uncertain information, is widely used in the processing and solving of many practical problems in fields such as decision making, game theory, probability, measure theory, image processing, finance and so on. Because of this, the theoretical research on its extended model has not stopped from beginning to end. In this paper, two novel kinds of fuzzy integrals are proposed, which originate from semi-quasi-overlap functions and semi-quasi-grouping functions, and are two new extension forms of Sugeno integral that differ from existing ones. The core content is to discuss the elementary properties of them.