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

Jun-Ling Zhang and Xiao-Wen Qi

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

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.

Date: 2012
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https://doi.org/10.1155/2012/245732

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:245732

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