1. a Department of Mechanical System Engineering, Yamagata University, 4-3-16, Yonezawa 992-8510, Japan
2. b Department of Mechanical System Engineering, Yamagata University, 4-3-16, Yonezawa 992-8510, Japan
3. c Department of Public Policy and Social Studies, Yamagata University
4. d Department of Mechanical System Engineering, Yamagata University, 4-3-16, Yonezawa 992-8510, Japan
5. e Department of Mechanical System Engineering, Yamagata University, 4-3-16, Yonezawa 992-8510, Japan