Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets

被引：7

作者：

Yu, Bicheng ^{[1
]}

Zhao, Xuejun ^{[1
]}

Zheng, Mingfa ^{[1
]}

Yuan, Xiujiu ^{[1
]}

Hou, Bei ^{[2
]}

机构：

[1] Air Force Engn Univ, Dept Basic Sci, Xian, Peoples R China

[2] Air Force Engn Univ, Informat & Nav Coll, Xian, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

INFORMATION;

D O I：

10.1155/2022/1585079

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Since the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of intuitionistic fuzzy entropy and hesitant fuzzy entropy are proposed, and new intuitionistic fuzzy entropy and hesitant fuzzy entropy based on the improved axiomatic definitions are established. This paper defines the fuzzy entropy that satisfies the properties based on the axiomatized definition of fuzzy entropy and, based on the fuzzy entropy, defines new intuitionistic fuzzy entropy and hesitant fuzzy entropy, so that the three are unified in form. The validity and rationality of the proposed intuitionistic fuzzy entropy and hesitant fuzzy entropy are verified by analysis.

引用

页数：10

共 50 条

[1] Fuzzy entropy on intuitionistic fuzzy sets
Hung, WL
Yang, MS
[J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2006, 21 (04) : 443 - 451
[2] Hesitant intuitionistic fuzzy soft sets
Nazra, Admi
Syafruddin
Lestari, Riri
Wicaksono, Gandung Catur
[J]. 1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017), 2017, 890
[3] On Unification of Methods in Theories of Fuzzy Sets, Hesitant Fuzzy Set, Fuzzy Soft Sets and Intuitionistic Fuzzy Sets
Mockor, Jiri
Hynar, David
[J]. MATHEMATICS, 2021, 9 (04) : 1 - 26
[4] Fuzzy Transforms for Hesitant, Soft or Intuitionistic Fuzzy Sets
Mockor, Jiri
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2021, 14 (01)
[5] Fuzzy Transforms for Hesitant, Soft or Intuitionistic Fuzzy Sets
Jiří Močkoř
[J]. International Journal of Computational Intelligence Systems, 14
[6] A unified representation of intuitionistic fuzzy sets, hesitant fuzzy sets and generalized hesitant fuzzy sets based on their u-maps
Ngan, Shing-Chung
[J]. EXPERT SYSTEMS WITH APPLICATIONS, 2017, 69 : 257 - 276
[7] Entropy for intuitionistic fuzzy sets
Szmidt, E
Kacprzyk, J
[J]. FUZZY SETS AND SYSTEMS, 2001, 118 (03) : 467 - 477
[8] A new fuzzy entropy for intuitionistic fuzzy sets
Huang, Guo-shun
[J]. FOURTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2007, : 57 - 61
[9] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Burillo, P
Bustince, H
[J]. FUZZY SETS AND SYSTEMS, 1996, 78 (03) : 305 - 316
[10] Generalized Entropy for Intuitionistic Fuzzy Sets
Gupta, Priti
Arora, H. D.
Tiwari, Pratiksha
[J]. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 (02): : 209 - 220

← 1 2 3 4 5 →