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Informatica


Interval-Valued 2-Tuple Linguistic Induced Continuous Ordered Weighted Distance Measure and Its Application to Multiple Attribute Group Decision Making
Volume 29, Issue 2 (2018), pp. 321–352
Pub. online: 1 January 2018      Type: Research Article      Open accessOpen Access
Received
1 January 2017
Accepted
1 May 2018
Published
1 January 2018

Abstract

This paper aims to propose a new distance measure, the interval-valued 2-tuple linguistic induced continuous ordered weighted distance (IT-ICOWD) measure, which consists of the interval-valued 2-tuple linguistic induced continuous ordered weighted averaging (IT-ICOWA) operator and the ordered weighted distance (OWD) measure. In these operators, we consider the risk attitude of decision maker. Furthermore, we discuss some desired properties and various special cases of the IT-ICOWD measure. Additionally, a method of multiple attribute group decision making (MAGDM) in interval-valued 2-tuple linguistic environment is developed on the basis of the IT-ICOWD measure. Through this method, we obtain three simple and exact formulae to determine the order-inducing variables of the IT-ICOWD measure, the weighting vector of decision makers and the weighting vector of attributes, respectively. At last, a numerical example is presented to illustrate the practicability and feasibility of proposed method.

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Biographies

Liu Xi
liuxi5137@126.com

X. Liu is a lecturer of School of Mathematics and Statistics, Hefei Normal University, China. She received a PhD degree in School of Mathematical Sciences from Anhui University. She has contributed several journal articles to professional journals. Her current research interests include decision making theory, forecasting, information fusion, fuzzy statistics and fuzzy mathematics.

Han Bing
ice05013861001@163.com

B. Han is a lecturer of School of Mathematical Sciences, Anhui University, China. She received a PhD degree in School of Mathematical Sciences from Anhui University. She has contributed over 10 journal articles to professional journals such as Knowledge-Based Systems and Expert Systems with Applications. Her current research interests include aggregation operators, group decision making and combined forecasting.

Chen Huayou
huayouc@126.com

H. Chen is a professor of School of Mathematical Sciences, Anhui University, China. He received a PhD degree in operational research from University of Science Technology of China in 2002. He graduated from Nanjing University for 2 years postdoctoral research work in 2005. He has published a book: The Efficient Theory of Combined Forecasting and Applications (Science Press, Beijing, 2008) and has contributed over 120 journal articles to professional journals, such as Fuzzy Sets and Systems, Information Sciences, Group Decision and Negotiation, etc. His current research interests include information fusion, multi-criteria decision making, aggregation operators and combined forecasting.

Zhou Ligang
shuiqiaozlg@126.com

L. Zhou is a professor of School of Mathematical Sciences, Anhui University. He received a PhD degree in operations research from Anhui University in 2013. He has contributed over 40 journal articles to professional journals, such as Fuzzy Sets and Systems, Applied Mathematical Modelling, Applied Soft Computing, Group Decision and Negotiation, Expert Systems with Applications, etc. His current research interests include group decision making, aggregation operators and combined forecasting.


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© 2018 Vilnius University
Open access article under the CC BY license.

Keywords
group decision making, distance measure interval-valued 2-tuple linguistic information IOWA operator COWA operator

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