The geometric lattice intuitionistic fuzzy functions and applications

Article type: Research Article

Authors: Phu, Nguyen Dinh^{a; b; *} | Hung, Nguyen Nhut^c

Affiliations: [a] Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [b] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [c] Faculty of Mathematics and Computer Science, University of Science, VNU Ho Chi Minh City, Vietnam

Correspondence: [*] Corresponding author. Nguyen Dinh Phu. E-mail: [email protected].

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.

Keywords: The metric semi-linear space of lattice intuitionistic fuzzy numbers, Geometric lattice intuitionistic fuzzy differential equations, The medical intuitionistic fuzzy models

DOI: 10.3233/JIFS-172027

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3347-3358, 2018