Narrow Metric Semi-linear Space of Intuitionistic Fuzzy Numbers: Application to AIDS Model

被引:8
|
作者
Nguyen Dinh Phu [1 ,2 ]
Ahmadian, Ali [3 ]
Nguyen Nhut Hung [4 ]
Salahshour, Soheil [5 ]
Senu, Norazak [3 ]
机构
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
[3] Univ Putra Malaysia, Inst Math Res INSPEM, Serdang 43400, Selangor, Malaysia
[4] Vietnam Natl Univ, Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam
[5] Islamic Azad Univ, Mobarakeh Branch, Young Researchers & Elite Club, Mobarakeh, Iran
关键词
Narrow metric semi-linear space; Intuitionistic fuzzy differential equations; Intuitionistic fuzzy numbers; AIDS models; SETS;
D O I
10.1007/s40815-019-00649-3
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we study two new binary operations, which are addition and scalar multiplication, for intuitionistic fuzzy numbers (IFNs). Thereafter, we introduce a semi-linear space for IFNs that it is called the narrow metric semi-linear space-L*. At the same time, we present a new type of intuitionistic fuzzy functions with a real domain and propose a number of concepts and properties for these functions such as geometric difference, geometric differentiability, derivative and integral. In addition, we give a model of initial value problem for intuitionistic fuzzy differential equations and present its application to an AIDS model. Some examples are given to illustrate the theoretical results.
引用
收藏
页码:1738 / 1754
页数:17
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