ISSN 2222-4424 JOURNAL OF INFORMATION AND MATHEMATICAL SCIENCES

Volume 30 NO.1 November 2014

Aletheia University Tamsui, Taipei, Tamsui Oxford Journal of Information and Mathematical Sciences

Publisher: Aletheia University

Editor-in-Chief: Gwo-Jong Yu

Managing Editor: Hsien-Jen Lin、Ching-Sheng Wang、Shu-Ying Yeh

Editorial Board:

Gerard Jennhwa Chang（張鎮華） S. S. Dragomir Department of Mathematics School of Communication and Informatics National Taiwan University, Taiwan Victoria University of Technology, Australia [email protected] [email protected]

Meng-Kiat Chuah（蔡孟傑） Wen-Tao Huang（黃文濤） Department of Mathematics Department of Management Sciences National Tsing Hua University, Taiwan , Taiwan [email protected] [email protected]

Chih-Yung Chang（張志勇） Tea-Yuan Hwang（黃提源） Department Computer Science and Department of Statistics and Actuarial Information Engineering Science Tamkang University, Taiwan Aletheia University, Taiwan [email protected] [email protected]

Chin-Chen Chang（張真誠） Yau-Hwang Kuo（郭耀煌） Department of Information Engineering Department of Computer Science and and Computer Science Information Engineering National Cheng Kung University, Taiwan , Taiwan [email protected] [email protected]

Yao-Tsung Lai（賴耀宗） （張玉坤） Yue-Cune Chang Department of Statistics and Actuarial Department of Mathematics Science Tamkang University, Taiwan Aletheia University, Taiwan [email protected] [email protected] Ko-Wei Lih（李國偉） Themistocles M. Rassias Institute of Mathematics Department of Mathematics Academia Sinica, Taiwan National Technical University of Athens [email protected] Zografou Campus 15780 Athens, Greece Hong-Yuan Mark Liao（廖弘源） [email protected] Institute of Information Science Academia Sinica, Taiwan [email protected] Timothy K. Shih（施國琛） Department of Computer Science Hsien-Jen Lin（林顯仁） National Central University, Taiwan Department of Applied Mathematics [email protected] Aletheia University, Taiwan [email protected] Kuei-Lin Tseng（曾貴麟） Department of Applied Mathematics Shih-Kuei Lin（林士貴） Aletheia University, Taiwan Department of Money and Banking [email protected] National Chengchi University, Taiwan [email protected] Chung-Shin Wang（王忠信） Department of Computer Science and Yu-Jen Lin（林裕仁） Information Engineering Department of Industrial Engineering and Aletheia University, Taiwan Management [email protected] ST. John’s University [email protected] Ching-Sheng Wang（王慶生） Josip Pečarić Department of Computer Science and Faculty of Textile Technology Information Engineering University of Zagrdb Aletheia University, Taiwan Prilaz baruna Filipovića 28 a, 10000 Zagreb, [email protected] Croatia, Europe [email protected] Jing-Ho Yan（顏經和） Department of Applied Mathematics H. M. Srivastava Aletheia University, Taiwan Department of Mathematics and Statistics [email protected] University of Victoria, Canada [email protected] Gou-Sheng Yang（楊國勝） Gwo-Jong Yu（游國忠） Department of Mathematics Department of Computer Science and Tamkang University, Taiwan Information Engineering [email protected] Aletheia University, Taiwan [email protected] Suh-Yuh Yang（楊肅煜） Department of Mathematics Shu-Ying Yeh（葉淑穎） National Central University, Taiwan Department of Statistics and Actuarial [email protected] Science Aletheia University, Taiwan Sharon S. Yang（楊曉文） [email protected] Department of Finance National Central University, Taiwan [email protected]

Subscription: Tamsui Oxford Journal of Information and Mathematical Sciences (TOJIMS) is published quarterly in February, May, August and November. The current rate of subscription is US$30.00 or NT$900.00 per year.

Exchange: TOJIMS is intended to be exchanged with other scholarly journals in similar or closely-related fields published by departments, graduate schools or research centers of other universities all over the world.

Submission of Manuscripts: Please read Information for Authors at the end of this issue.

Web site of TOJIMS: Full texts of past issues of TOJIMS can be found at http://www1.au.edu.tw/ox_view/edu/tojms/

Other Information Tamsui Oxford Journal of Information and Mathematical Sciences is abstracted/ indexed in Science and Technology Information Center, National Science Council of the Republic of China, Zentralblatt fur Mathematik, and MathSciNet.