Abstract
With respect to multiple attribute decision making (MADM) problems in which attribute values take the form of interval grey linguistic variables, a new decision making analysis method is developed. In this paper, we propose the interval grey linguistic variables ordered weighted aggregation (IGLOWA) operator, and then use the Choquet integral to develop the interval grey linguistic correlated ordered arithmetic aggregation (IGLCOA) operator and the interval grey linguistic correlated ordered geometric aggregation (IGLCOGA) operator. Those operators not only consider the importance of the elements, but also can reflect the correlations among the elements. Then, we develop an approach to multiple attribute decision making problems with correlative weights which attribute values are given in terms of interval grey linguistic variables information based on those operators. Finally an illustrative example is given to use the method in the range of uncertain multiple attribute decision making. The results show that the method proposed in this paper is feasible.
Highlights
Since Zadeh (1965) introduced the concept of the fuzzy set and Deng (1982) firstly presented the grey system theory, these were well applied in multiple attribute decision making (Bu, Zhang 2002; Chen 1994; Jin, Lou 2004; Luo, Liu 2004; Liu, Jin 2010; Meng et al 2007; Merigó 2010; Merigó, Gil-Lafuente 2011; Wang, Klir 1992; Wang et al 1996; Wei et al 2011; Xu 2010; Zhang, Liu 2010; Li 2012; Salmeron, Gutierrez 2012; Yin 2012; Zhu, Hipel 2012; Baležentis, Zeng 2013)
Liu and Jin (2010) defined the concept of the interval grey linguistic variable which the fuzzy part and the grey part took the form of the linguistic variable and the interval number respectively, and studied the operation rules and developed the multiple attribute decision making method based on the interval grey linguistic variable
We apply the interval grey linguistic correlated ordered arithmetic aggregation (IGLCOA) operator and the interval grey linguistic correlated ordered geometric aggregation (IGLCOGA) operator to multiple attribute decision making with correlative weights, which attribute values are given in terms of interval grey linguistic variables information
Summary
Since Zadeh (1965) introduced the concept of the fuzzy set and Deng (1982) firstly presented the grey system theory, these were well applied in multiple attribute decision making (Bu, Zhang 2002; Chen 1994; Jin, Lou 2004; Luo, Liu 2004; Liu, Jin 2010; Meng et al 2007; Merigó 2010; Merigó, Gil-Lafuente 2011; Wang, Klir 1992; Wang et al 1996; Wei et al 2011; Xu 2010; Zhang, Liu 2010; Li 2012; Salmeron, Gutierrez 2012; Yin 2012; Zhu, Hipel 2012; Baležentis, Zeng 2013). Liu and Jin (2010) defined the concept of the interval grey linguistic variable which the fuzzy part and the grey part took the form of the linguistic variable and the interval number respectively, and studied the operation rules and developed the multiple attribute decision making method based on the interval grey linguistic variable. Technological and Economic Development of Economy, 2013, 19(2): 189–202 operator and the interval grey linguistic variables hybrid weighted geometric aggregation (IGLHWGA) operator, and suggested a method for solving multiple attribute group decision making based on those operators. We introduce some basic concepts related to grey fuzzy sets and some operational laws of interval grey linguistic variables. In final Section, we conclude the paper and give some remarks
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
