Interval-valued intuitionistic fuzzy ordered precise weighted aggregation operator and its application in group decision making Cover Image

Interval-valued intuitionistic fuzzy ordered precise weighted aggregation operator and its application in group decision making
Interval-valued intuitionistic fuzzy ordered precise weighted aggregation operator and its application in group decision making

Author(s): Wei Zhou, Jian Min He
Subject(s): Economy
Published by: Vilnius Gediminas Technical University
Keywords: multi-attribute group decision making; interval-valued intuitionistic fuzzy number; precise weight-determined method; monotonicity; scale-invariance; C02; D71; D81;

Summary/Abstract: An important research topic related to the theory and application of the interval-valued intuitionistic fuzzy weighted aggregation operators is how to determine their associated weights. In this paper, we propose a precise weight-determined (PWD) method of the monotonicity and scale-invariance, just based on the new score and accuracy functions of interval-valued intuitionistic fuzzy number (IIFN). Since the monotonicity and scale-invariance, the PWD method may be a precise and objective approach to calculate the weights of IIFN and interval-valued intuitionistic fuzzy aggregation operator, and a more suitable approach to distinguish different decision makers (DMs) and experts in group decision making. Based on the PWD method, we develop two new interval-valued intuitionistic fuzzy aggregation operators, i.e. interval-valued intuitionistic fuzzy ordered precise weighted averaging (IIFOPWA) operator and interval-valued intuitionistic fuzzy ordered precise weighted geometric (IIFOPWG) operator, and study their desirable properties in detail. Finally, we provide an illustrative example.

  • Issue Year: 20/2014
  • Issue No: 4
  • Page Range: 648-672
  • Page Count: 25
  • Language: English