The geometric lattice intuitionistic fuzzy functions and applications

In this paper, we build a metric semi-linear space LG* for lattice intuitionistic fuzzy numbers (LIFNs). We give new concepts of some operations, for example, a geometric binary addition operation, a nonnegative multiplication operation, geometric differences, and propose a new formula to calculate the derivative and integral of geometric lattice intuitionistic fuzzy functions in LG* , we introduce and establish the positive solutions of the initial value problem for geometric lattice intuitionistic fuzzy differential equation (IVP for GLIFDE), and additionally show several practical applications in this semi-linear space with the medical intuitionistic fuzzy models.