Journal of Applied Mathematics
Volume 2012 (2012), Article ID 245732, 24 pages
http://dx.doi.org/10.1155/2012/245732
Research Article

Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables

Jun-Ling Zhang1 and Xiao-Wen Qi1,2,3

1School of Economics and Management, Zhejiang Normal University, Jinhua 321004, China
2Department of Management, Hefei University of Technology, Hefei 230009, China
3Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei 230009, China

Received 1 December 2011; Revised 24 February 2012; Accepted 14 March 2012

Academic Editor: Huijun Gao

Copyright © 2012 Jun-Ling Zhang and Xiao-Wen Qi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Two induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging (I-IIFHA) operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric (I-IIFHG) operator. The merit of two aggregation operators is that they can consider additional preference information of decision maker’s attitudinal characteristics besides argument-dependent information and argument-independent information. Some desirable properties of I-IIFHA and I-IIFHG are studied and theoretical analysis also shows that they can include a wide range of aggregation operators as special cases. Further, we extend these operators to form a novel group decision-making method for selecting the most desirable alternative in multiple attribute multi-interest group decision-making problems with attribute values and decision maker’s interest values taking the form of interval-valued intuitionistic fuzzy numbers, and application research to real estate purchase selection shows its practicality.