Uncertain group decision-making with induced aggregation operators and Euclidean distance

Abstract

In this paper, we present the induced uncertain Euclidean ordered weighted averaging distance (IUEOWAD) operator. It is an extension of the OWA operator that uses the main characteristics of the induced OWA (IOWA), the Euclidean distance and uncertain information represented by interval numbers. The main advantage of this operator is that it is able to consider complex attitudinal characters of the decision-maker by using order-inducing variables in the aggregation of the Euclidean distance. Moreover, it is able to deal with uncertain environments where the information is very imprecise and can be assessed with interval numbers. We study some of its main properties and particular cases such as the uncertain maximum distance, the uncertain minimum distance, the uncertain normalized Euclidean distance (UNED), the uncertain weighted Euclidean distance (UWED) and the uncertain Euclidean ordered weighted averaging distance (UEOWAD) operator. We also apply this aggregation operator to a group decision-making problem regarding the selection new artillery weapons under uncertainty.

Keywords:

• interval numbers
• Euclidean measure
• IOWA operator
• group decision-making

JEL Classification:

• C44
• C49
• D81
• D89

Additional information

Notes on contributors

Weihua Su

Weihua SU has an MSc and a PhD degree in statistics from Xiamen University, China. He is a Professor in College of Mathematics and Statistics, Zhejiang University of Finance and Economics. He has published more than 90 papers in journals, books and conference proceedings including journals such as Statistics Research, Economic Research, Knowledge-based Systems and Group decision and Negotiation. He has published 3 books. He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Information Sciences and European Journal of Operational Research. His current research interests are aggregation operators, decision making and comprehensive evaluation.

Shouzhen Zeng

Shouzhen ZENG graduated from the Tianjin University and obtained the Master degree in applied mathematics. At present, he is studying his in-service doctor of applied statistics in Zhejiang Gongshang University. Currently he is a full-time Lecture in Zhejiang Wanli University.

He has published more than 40 papers in journals, books and conference proceedings including journals such as Statistics Research, Economic Research, Knowledge-based Systems and Group Decision and Negotiation. His main research interests are aggregation operators, decision making, comprehensive evaluation and uncertainty.

Xiaojia Ye

Xiaojia YE graduated from the Zhejiang Gongshang University and obtained her Master's degree in Statistics. At present, she is studying her in-service doctor of applied statistics in Zhejiang Gongshang University. Her main research interests are aggregation operators, decision making, comprehensive evaluation and uncertainty.