Intuitionistic fuzzy geometric Heronian mean aggregation operators

被引：227

作者：

Yu, Dejian ^{[1
]}

机构：

[1] Zhejiang Univ Finance & Econ, Sch Informat, Hangzhou 310018, Peoples R China

来源：

APPLIED SOFT COMPUTING | 2013年 / 13卷 / 02期

关键词：

Heronian mean (HM); Intuitionistic fuzzy set (IFS); Intuitionistic fuzzy geometric Heronian mean (IFGHM); Intuitionistic fuzzy geometric weighted Heronian mean (IFGWHM); Multi-criteria decision making; DECISION-MAKING; SETS;

D O I：

10.1016/j.asoc.2012.09.021

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the multi-criteria decision making problem with the assumption that the criteria are correlative is studied under intuitionistic fuzzy environment. Some new aggregation operators for intuitionistic fuzzy information are proposed, including the intuitionistic fuzzy geometric Heronian mean (IFGHM) operator and the intuitionistic fuzzy geometric weighed Heronian mean (IFGWHM) operator. We investigate the properties of the proposed operators, such as idempotency, monotonicity, permutation and boundary. Moreover, an approach is proposed for multi-criteria decision making based on IFGWHM operator. An example about talent introduction is given to illustrate the proposed method. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1235 / 1246

页数：12

共 22 条

[1] INTUITIONISTIC FUZZY-SETS
ATANASSOV, KT
[J]. FUZZY SETS AND SYSTEMS, 1986, 20 (01) : 87 - 96
[2] Beliakov G., 2007, Aggregation Functions: A Guide for Practitioners, DOI DOI 10.1007/978-3-540-73721-6
[3] Fractional programming methodology for multi-attribute group decision-making using IFS
Li, Deng-Feng
Wang, Yong-Chun
Liu, Shu
Shan, Feng
[J]. APPLIED SOFT COMPUTING, 2009, 9 (01) : 219 - 225
[4] Mathematical programming approach to multiattribute decision making under intuitionistic fuzzy environments
Li, Deng-Feng
Wang, Yong-Chun
[J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2008, 16 (04) : 557 - 577
[5] Linear programming method for multiattribute group decision making using IF sets
Li, Deng-Feng
Chen, Guo-Hong
Huang, Zhi-Gang
[J]. INFORMATION SCIENCES, 2010, 180 (09) : 1591 - 1609
[6] Multi-criteria decision-making methods based on intuitionistic fuzzy sets
Liu, Hua-Wen
Wang, Guo-Jun
[J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2007, 179 (01) : 220 - 233
[7] Generalized intuitionistic fuzzy geometric aggregation operator and its application to multi-criteria group decision making
Tan, Chunqiao
[J]. SOFT COMPUTING, 2011, 15 (05) : 867 - 876
[8] Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making
Tan, Chunqiao
Chen, Xiaohong
[J]. EXPERT SYSTEMS WITH APPLICATIONS, 2010, 37 (01) : 149 - 157
[9] GRA method for multiple attribute decision making with incomplete weight information in intuitionistic fuzzy setting
Wei, Gui-Wu
[J]. KNOWLEDGE-BASED SYSTEMS, 2010, 23 (03) : 243 - 247
[10] GREY RELATIONAL ANALYSIS METHOD FOR INTUITIONISTIC FUZZY MULTIPLE ATTRIBUTE DECISION MAKING WITH PREFERENCE INFORMATION ON ALTERNATIVES
Wei, Guiwu
Wang, H. J.
Lin, Rin
Zhao, Xiaofei
[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2011, 4 (02): : 164 - 173

← 1 2 3 →