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

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.

Keywords:

• multi-attribute group decision making
• interval-valued intuitionistic fuzzy number
• precise weight-determined method
• monotonicity
• scale-invariance

JEL Classification:

• C02
• D71
• D81

Additional information

Notes on contributors

Wei Zhou

Wei ZHOU received the PhD degree in management science and engineering from Southeast University, Nanjing, China, in 2012. He is also currently a Vice Professor with the International Business School, Yunnan University of Finance and Economics, Kunming. His research interest covers management engineering and financial engineering.

Jian Min He

Jian Min HE received the BSc degree in management science and engineering from Southeast University, Nanjing, China, in 1997. He is also currently a Professor at the School of Economics and Administration, Southeast University. His research interest covers management engineering, systems engineering and financial engineering.