The orders of intuitionistic fuzzy numbers

被引：10

作者：

Zhang, Zhao ^{[1
]}

Xu, Zeshui ^{[2
]}

机构：

[1] PLA Univ Sci & Technol, Coll Sci, Nanjing, Jiangsu, Peoples R China

[2] Sichuan Univ, Sch Business, Chengdu 610064, Sichuan, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Intuitionistic fuzzy set; intuitionistic fuzzy number; order; ranking; DECISION-MAKING; SIMILARITY MEASURES; RANKING; SETS; INFORMATION; DOMINANCE; VALUES;

D O I：

10.3233/IFS-141327

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In many applications of intuitionistic fuzzy sets, comparing or ranking intuitionistic fuzzy numbers (IFNs) plays an important role. In this paper, the orders of intuitionistic fuzzy numbers are discussed. The orders of IFNs have undesired mathematical properties. By using a special function, a new order of IFNs is proposed. This new type of order has good mathematical properties on algebraic intuitionistic fuzzy numbers (A-IFNs) which is a dense collection of IFNs, and A-IFNs are adequate in most applications.

引用

页码：505 / 511

页数：7

共 35 条

[1] Intuitionistic Fuzzy Logic Control for Heater Fans [J].

Akram M. ;

Shahzad S. ;

Butt A. ;

Khaliq A. .

Mathematics in Computer Science, 2013, 7 (3) :367-378

[2]

Angelova M., 2013, RECENT ADV COMPUTATI, V470, P1

[3]

[Anonymous], Gesammelte Abhandlungen mathematischen und philosophischen Inhalts

[4] Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making [J].

Atanassov, K ;

Pasi, G ;

Yager, R .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2005, 36 (14) :859-868

[5] INTUITIONISTIC FUZZY PROLOG [J].

ATANASSOV, K ;

GEORGIEV, C .

FUZZY SETS AND SYSTEMS, 1993, 53 (02) :121-128

[6] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[7] HANDLING MULTICRITERIA FUZZY DECISION-MAKING PROBLEMS BASED ON VAGUE SET-THEORY [J].

CHEN, SM ;

TAN, JM .

FUZZY SETS AND SYSTEMS, 1994, 67 (02) :163-172

[8] A comparative analysis of score functions for multiple criteria decision making in intuitionistic fuzzy settings [J].

Chen, Ting-Yu .

INFORMATION SCIENCES, 2011, 181 (17) :3652-3676

[9] An application of intuitionistic fuzzy sets in medical diagnosis [J].

De, SK ;

Biswas, R ;

Roy, AR .

FUZZY SETS AND SYSTEMS, 2001, 117 (02) :209-213

[10] Managing non-homogeneous information in group decision making [J].

Herrera, F ;

Martínez, L ;

Sánchez, PJ .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2005, 166 (01) :115-132

← 1 2 3 4 →