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The geometric lattice intuitionistic fuzzy functions and applications

Authors: 

Nguyen Dinh Phu, Nguyen Nhut Hung

Source title: 
Journal of Intelligent & Fuzzy Systems, 35(3): 3347-3358, 2018 (ISI)
Academic year of acceptance: 
2018-2019
Abstract: 

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.