Abstract
With respect to multicriteria supplier selection problems with interval 2-tuple linguistic information, a new decision making approach that uses distance measures is proposed. Motivated by the ordered weighted distance (OWD) measures, in this paper, we develop some interval 2-tuple linguistic distance operators such as the interval 2-tuple weighted distance (ITWD), the interval 2-tuple ordered weighted distance (ITOWD), and the interval 2-tuple hybrid weighted distance (ITHWD) operators. These aggregation operators are very useful for the treatment of input data in the form of interval 2-tuple linguistic variables. We study some desirable properties of the ITOWD operator and further generalize it by using the generalized and the quasi-arithmetic means. Finally, the new approach is utilized to complete a supplier selection study for an actual hospital from the healthcare industry.
Highlights
The ordered weighted averaging (OWA) operator [1] is a very well-known aggregation operator, providing a parameterized family of aggregation operators which includes the maximum, the minimum, and the average
We study some desirable properties of the ITOWD operator and further generalize it by using the generalized and the quasi-arithmetic means obtaining the generalized interval 2-tuple ordered weighted distance (GITOWD) and the quasi-arithmetic interval 2-tuple ordered weighted distance (Quasi-ITOWD) operators
The ordered weighted averaging distance (OWAD) operator [3] is an extension of the traditional Hamming distance by using the OWA operator, which provides a parameterized family of aggregation operators ranging from the minimum to the maximum distance
Summary
The ordered weighted averaging (OWA) operator [1] is a very well-known aggregation operator, providing a parameterized family of aggregation operators which includes the maximum, the minimum, and the average. Zeng [9] considered the situations with intuitionistic fuzzy and interval-valued intuitionistic information and developed some intuitionistic fuzzy weighted distance measures. Xu [10] developed some fuzzy ordered distance measures for group decision making with linguistic, interval, triangular, or trapezoidal fuzzy preference information. Xian and Sun [11] developed the fuzzy linguistic induced Euclidean ordered weighted averaging distance (FLIEOWAD) operator for group linguistic decision making, in which the criteria values take the form of fuzzy linguistic information. Based on the GITOWD operator, we develop an approach to group supplier evaluation and selection with interval 2-tuple linguistic information and illustrate it with a numerical example.
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