Interval-Valued 2-Tuple Prioritized Aggregation Operators and Their Application to Multiple Attribute Group Decision Making
Zhiming Zhang *
College of Mathematics and Computer Science, Hebei University, Baoding 071002, Hebei Province, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
This paper presents interval-valued 2-tuple prioritized aggregation operators for handling problems involving multiple attribute group decision making, where a prioritization relationship exists between attributes and decision makers. We first develop two interval-valued 2-tuple prioritized aggregation operators called (i) the interval-valued 2-tuple prioritized weighted average (IV2TPWA) operator and (ii) the interval-valued 2-tuple prioritized weighted geometric (IV2TPWG) operator and examine their desirable properties. The significant feature of these operators is that they not only deal with the linguistic and interval linguistic information but also account for the priority level of the arguments. Next, based on the IV2TPWA and the IV2TPWG operators, we develop an approach to multiple attribute group decision making with interval linguistic information. Finally, a practical example is presented to illustrate our method.
Keywords: Multiple attribute group decision making, interval-valued 2-tuple prioritized weighted average (IV2TPWA) operator, interval-valued 2-tuple prioritized weighted geometric (IV2TPWG) operator