Simplified Interval-Valued Intuitionistic Fuzzy Line Integrals and Their Application

被引:3
|
作者
Ai, Zhenghai [1 ]
Shu, Xiaoqin [2 ]
Xu, Zeshui [3 ]
机构
[1] Leshan Normal Univ, Sch Math & Informat Sci, Leshan 614000, Peoples R China
[2] Leshan Normal Univ, Sch Phys & Elect Engn, Leshan 614000, Peoples R China
[3] Sichuan Univ, State Key Lab Hydraul & Mt River Engn, Chengdu 610064, Peoples R China
来源
IEEE ACCESS | 2019年 / 7卷
关键词
Calculus; Fuzzy sets; Decision making; Frequency selective surfaces; Licenses; Indexes; Uncertainty; Interval-valued intuitionistic fuzzy set; interval-valued intuitionistic fuzzy calculus; simplified interval-valued intuitionistic fuzzy line integrals; order; application; ATTRIBUTE DECISION-MAKING; SETS; INFORMATION; OPERATIONS; OPERATORS; ENTROPY;
D O I
10.1109/ACCESS.2019.2939364
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 the past few years, the intuitionistic fuzzy calculus (IFC) has been proposed, which is based on some basic operational laws of intuitionistic fuzzy numbers (IFNs). The interval-valued intuitionistic fuzzy sets have received great attention of scholars since they can describe the characters of things comprehensively. However, so far, the interval-valued IFC is in the original stage. In this paper, we focus on investigating the simplified interval-valued intuitionistic fuzzy line integrals (SIVIFLIs). First, we construct the SIVIFLIs step by step, and then provide their concrete values. In order to further describe the characteristic of the SIVIFLIs, we discuss their basic properties, and particularly, we investigate a kind of the order in intuitionistic fuzzy circumstance in detail. Finally, we offer an application and address it by the proposed SIVIFLIs to demonstrate their effectiveness and practicability.
引用
收藏
页码:134256 / 134270
页数:15
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