*Article* **A Three-Dimensional Constrained Ordered Weighted Averaging Aggregation Problem with Lower Bounded Variables**

#### **Yi-Fang Chen and Hui-Chin Tang \***

Department of Industrial Engineering and Management, National Kaohsiung University of Science and Technology, Kaohsiung 80778, Taiwan; 1100403115@gm.kuas.edu.tw

**\*** Correspondence: tang@nkust.edu.tw; Tel.: +886-9-12768867

Received: 25 July 2018; Accepted: 9 August 2018; Published: 13 August 2018

**Abstract:** We consider the constrained ordered weighted averaging (OWA) aggregation problem with a single constraint and lower bounded variables. For the three-dimensional constrained OWA aggregation problem with lower bounded variables, we present four types of solution depending on the number of zero elements. According to the computerized experiment we perform, the lower bounds can affect the solution types, thereby affecting the optimal solution of the three-dimensional constrained OWA aggregation problem with lower bounded variables.

**Keywords:** ordered weighted averaging (OWA) operators; constrained OWA aggregation problem; lower bounded variables
