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

• Published in: Journal of Applied Mathematics Vol. 2012; no. 2012; pp. 407 - 430-126
• Main Authors: Zhang, Jun-Ling, Qi, Xiao-Wen
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2012; Hindawi Publishing Corporation; Hindawi Limited; Wiley
• Subjects: Agglomeration; Decision making; Fuzzy; Fuzzy logic; Fuzzy set theory; Mathematical analysis; Mathematical models; Operators
• ISSN: 1110-757X; 1687-0042
• DOI: 10.1155/2012/245732

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.