ENTROPY OF TRIANGULAR INTUITIONISTIC FUZZY SETS BASED ON DISTANCE AND ITS RELATIONSHIP WITH SIMILARITY

被引：0
作者：
Xu, Jun [1 ]
Hu, Fen [2 ]
Zhu, Wenqiang [3 ]
机构：
[1] Jiangxi Univ Finance & Econ Nanchang, Coll Modern Econ & Management, Nanchang, Peoples R China
[2] Jiangxi Univ Finance & Econ, Sch Stat, Nanchang 330013, Peoples R China
[3] Jiangxi Univ Finance & Econ Nanchang, Sch Software & Internet Things Engn, Nanchang 330013, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2022年 / 23卷 / 09期
关键词：
Intuitionistic triangular fuzzy sets; entropy; distance measure; similarity measure; DECISION-MAKING; NUMBERS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Entropy is an effective method of uncertainty measurement in information systems, but there are few researches on the uncertainty of triangular intuitionistic fuzzy information systems. This paper focuses on the entropy of intuitionistic triangular fuzzy sets (ITFSs) and its main contributions are as follows. Firstly, we generalize the axiomatic definition of traditional fuzzy entropy and put forward the distance-based entropy concept for ITFSs. Using the distance measures of ITFSs, some formulas for calculating entropy of ITFSs are listed. Then, the distance-based conversion relationships between the entropy and similarity in ITFSs environment are investigated. Finally, some examples on the basis of structuring linguistic variables are given to verify that the entropy measures based on distance measures are more reasonable than that based on hesitation degree of ITFSs.
引用
收藏
页码：1799 / 1811
页数：13
相关论文
共 31 条
  • [21] DISTANCE MEASURES BETWEEN THE COMPLEX INTUITIONISTIC FUZZY SETS AND THEIR APPLICATIONS TO THE DECISION-MAKING PROCESS
    Rani, Dimple
    Garg, Harish
    [J]. INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2017, 7 (05) : 423 - 439
  • [22] Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly
    Shu, Ming-Hung
    Cheng, Ching-Hsue
    Chang, Jing-Rong
    [J]. MICROELECTRONICS RELIABILITY, 2006, 46 (12) : 2139 - 2148
  • [23] Wang X. F., 2008, CONTROL DECISION, V10, P104
  • [24] [卫贵武 Wei Guiwu], 2010, [管理学报, Chinese Journal of Management], V7, P903
  • [25] A Heterogeneous Multiattribute Group Decision-Making Method Based on Intuitionistic Triangular Fuzzy Information
    Xu, Jun
    Dong, Jiu-Ying
    Wan, Shu-Ping
    Yang, De-Yan
    Zeng, Yi-Feng
    [J]. COMPLEXITY, 2019, 2019
  • [26] Aggregating decision information into Atanassov's intuitionistic fuzzy numbers for heterogeneous multi-attribute group decision making
    Xu, Jun
    Wan, Shu-Ping
    Dong, Jiu-Ying
    [J]. APPLIED SOFT COMPUTING, 2016, 41 : 331 - 351
  • [27] Investigation of multiple heterogeneous relationships using a q-rung orthopair fuzzy multi-criteria decision algorithm
    Yang, Zaoli
    Garg, Harish
    Li, Jinqiu
    Srivastava, Gautam
    Cao, Zehong
    [J]. NEURAL COMPUTING & APPLICATIONS, 2021, 33 (17) : 10771 - 10786
  • [28] Aggregation and decision making using intuitionistic multiplicative triangular fuzzy information
    Yu, Shan
    Xu, Zeshui
    [J]. JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING, 2014, 23 (01) : 20 - 38
  • [29] Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure
    Zhang, Hongying
    Zhang, Wenxiu
    Mei, Changlin
    [J]. KNOWLEDGE-BASED SYSTEMS, 2009, 22 (06) : 449 - 454
  • [30] Some new entropy measures for interval-valued intuitionistic fuzzy sets based on distances and their relationships with similarity and inclusion measures
    Zhang, Qiansheng
    Xing, Hongyan
    Liu, Fuchun
    Ye, Jun
    Tang, Pan
    [J]. INFORMATION SCIENCES, 2014, 283 : 55 - 69
1234