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

来源：

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2019年 / 21卷 / 06期

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

页码：1738 / 1754

页数：17

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