傳統的TOPSIS法必須大量仰賴專家的意見，有過於主觀的缺點，故本文發展出以專利分析所得到的各技術領域的技術字群及功能領域的功能字群的常態化數值的觀念，建立結合修正式DANP法之修正式TOPSIS方法，以決定出不同改善方案之優先順序。本文以LED軌道燈為例，依前述修正式TOPSIS法求出不同功能改善方案的優先順序。將所得之功能改善方案之最優先改善方案，再查核產品技術/功能矩陣，針對其要改善的功能領域選擇可應用的技術，將其應用在修正式TRIZ方法作為新產品設計時創新方法構思的依據。
如上所述本研究將產品功能結合修正式DANP之修正式TOPSIS法實際應用於LED軌道燈。其步驟進一步說明如下。本文經由LED軌道燈產品之相關文獻探討及各項專利分析，將LED軌道燈分為3個功能改善方案，其為1. 增加整體穩固性及便利性+提升照明效能， 2. 提高散熱性及壽命+提升照明效能，及3. 增加整體穩固性及便利性+提高散熱性及壽命之三種產品功能改善方案。再將產品功能之準則分為1. 增加穩固性、2. 提升裝配便利性、3.提高散熱性、4. 降低成本、延長壽命及節能、5. 增加照明強度及範圍、6. 調整光源角度及色調及7.燈源控制等7項功能領域。並將此7項功能領域做為評選新產品設計方案最重要的評估功能準則。接著透過以產品功能為主之修正式DEMATEL所分析出的因果圖來分析上述七項功能領域的核心功能領域及各功能領域的相互受影響程度。本研究將LED軌道燈以其具相依性的三項產品功能改善方案為修正式DANP優先評選方案次序的方案，計算三項功能改善方案的優先評選次序。最後演算得到LED軌道燈之權值矩陣。經本文將修正式DEMATEL之總關係影響矩陣T與修正式ANP之內部相依存成對比較矩陣W3進行矩陣運算，形成新的修正式DANP的W3D權值，接著依照修正式DANP法步驟，計算各方案的決策矩陣WP，再將W3D的各[w3D]i及Wp之wPij代入修正式TOPSIS方法的相關公式，利用修正式TOPSIS法計算出各功能改善方案之優先次序評選出最優先之功能改善方案。本研究再應用LED軌道燈的產品技術/功能矩陣，就最優先選擇的功能改善方案，對應可應用之技術領域，選擇適當的技術領域做改善，再利用修正式TRIZ發明法做創新改良設計，最後可得到新設計之LED軌道燈。

Traditional TOPSIS method has to immensely depend on the opinions of experts, so it has a defect of being too subjective. In view of this, the paper develops the concept of normalized numerical values for technical word groups of different technical domains and functional word groups of different functional domains obtained from analysis of patents, and establishes the modified TOPSIS method that combines with the modified DANP method, so as to determine the priority order of different improvement projects. Taking LED track light for example, and in accordance with the abovementioned modified TOPSIS method, the paper finds the priority order of different functional improvement projects. For the acquired most prioritized improvement project of the functional improvement projects, the paper checks the product technical/functional matrix. Focusing on its functional domain to be improved, applicable techniques are selected, and applied to the modified TRIZ method as a reference for thinking of innovative method during design of new products.
As mentioned above, the paper, for product functions, practically applies the modified TOPSIS method that combines with DANP method to LED track light, and the related steps are further explained below. Through the related literature review of LED track light products and analysis of different patents, the paper suggests 3 functional improvement projects for LED track light, which are: 1. Enhancement of overall stability and convenience + Improvement of lighting effect; 2. Increase of heat dispation and life + Improvement of lighting effect; and 3. Enhancement of overall stability and convenience + Increase of heat dispation and life. The paper further divides the criteria of product functions into 7 functional domains: 1. Enhancement of stability; 2. Increase of convenience for assembling; 3. Increase of heat dispation; 4. Reduction of cost, extension of life and energy saving; 5. Increase of light intensity and lighting area; 6. Adjustment of light-source angle and light color; and 7. Control of light source. These 7 functional domains are the most important functional evaluation criteria for selection of new product design projects. Subsequently, through the causal diagram analyzed by the modified DEMATEL that mainly focuses on product functions, the paper analyzes the core functional domain of the above 7 functional domains and the degree of mutual influence among different functional domains.
The paper takes the 3 mutual dependable product function improvement projects of LED track light as the project of modified DANP priority selection, and calculates the priority order for selection from the 3 functional improvement projects. Finally, a weight matrix of LED track light is obtained from algorithm. After the paper makes matrix operation of the total relationship influence matrix T of the modified DEMATEL and the internally mutual dependable paired comparison matrix W3 of the modified ANP, the new weight W3D of the modified DANP is formed. After that, following the steps of the modified DANP, the paper calculates the decision-making matrix WP of each project, and then substitutes each [w3D]i of W3D and wPij of Wp in the related equations of modified TOPSIS method. Using modified TOPSIS method, the paper calculates the priority order of different functional improvement projects, and selects the most prioritized functional improvement project. Furthermore, the paper applies the product technical domain/functional matrix of LED track light, finds the corresponding applicable technique of the selected most prioritized functional improvement project, and then selects a suitable technical domain for making improvement. Then, using the modified TRIZ invention method, innovative improvement of the design can be made. Finally, the newly designed LED track light can be obtained.

[1].Steigerwald, D. A., Bhat, J. C.,Collins, D., Fletcher, R. M., Holcomb, M.O., Ludowise, M. J., Martin, P. S.,and Rudaz, S. L. “Illumination with Solid State Lighting Technology,” IEEE Journal on Selected Topics in Quantum Electronics, Vol.8, Issue 2, pp.310-320 (2002).
[2].杜家宏，「整合繁體和簡體中文及英文斷詞斷字系統之發光二極體檯燈專利分析研究」，碩士論文，國立台灣科技大學機械工程學系，台北，民國一百年。
[3].McGlen, R.J., Jachuck, R., and Lin, S., “Integrated Thermal Management Techniques for High Power Electronic Devices,” Applied Thermal Engineering, Vol.24, Issue 8-9, pp.1143-1156 (2004).
[4].Jang, D., Yu, S.H., and Lee, K.S. “Multidisciplinary Optimization of a Pin-fin Radial Heat Sink for LED Lighting Applications,” International Journal of Heat and Mass Transfer, Vol.55, Issue 4, pp.515-521 (2012).
[5].Culham, J.R. and Muzychka, Y.S., “Optimization of Plate Fin Heat Sinks Using Entropy Generation Minimization, ” IEEE Transactions on Components and Packaging Technologies, Vol.24, pp.159-165 (2001).
[6].劉岳樺，劉書評，可供擺飾品照射之小型化LED投射燈，台灣 發明專利，M440395 (2012)。
[7].Huang, T.H., Hsien, I.L.，Lamp Holder of LED Projection Lamp，美國專利，US8585249B2 (2013).
[8].張子和，一種舞台燈具散熱裝置，中國專利，CN106195793A (2016)。
[9].Wu,Jiang，Spot TIR lens system for small high-power emitter，美國專利，US9482407B2 (2016).
[10].陳子勳，遙控軌道燈，中國專利，CN206555799U(2017)。
[11].李俊，一種可控制方向的電機軌道燈，中國專利，CN206093673U(2017)。
[12].拉米瑞茲，用於ＨＩＤ、ＬＥＤ或螢光軌道燈之供電系統，台灣專利，TW201109568 (2011)。
[13].Goldfire Innovator, http://www.invention-machine.com/index.htm
[14].Liu, C. C.and Chen, J. L., “Development of Product Green Innovation Design Method,” Proceedings of EcoDesign : Second International Symposium on Environmentally Conscious Design and Inverse Manufacturing, Tokyo, Japan, pp.168-173 (2001).
[15].Liu, C. C. and Chen, J. L., “A TRIZ Inventive Product Design Method without Contradiction Information,” The TRIZ Journal, Paper No. 6, http://www.triz-journal.com (2001).
[16].Chang, H. T. and Chen J. L., “An Approach Combining Extension Method with TRIZ for Innovative Product Design,” Journal of the Chinese Society of Mechanical Engineers, Vol.25, pp.13-22 (2004).
[17].Low, M. T., Lamvik, K. W., and Myklebust, O., “Manufacturing a Green Service: Engaging the TRIZ Model of Innovation,” IEEE Transactions on Electronics Packaging Manufacturing, Vol. 24, Issue 1, pp.10–17 (2001).
[18].Chang, H.T. and Chen, J. L., “The Conflict-Problem-Solving CAD Software Integrating TRIZ into Eco-Innovation,” Advances in Engineering Software, Vol.35, Issue 8-9, pp.553-566 (2004).
[19].Wang, H., Chen, G., Lin Z., and Wang, H., “Algorithm of Integrating QFD and TRIZ for the Innovative Design Process,” International Journal of Computer Applications in Technology, Vol.23, Issue 1, pp.41-52 (2005).
[20].Tong, L. H., He, C., and Shen, L., “Automatic Classification of Patent Documents for TRIZ Users,” World Patent Information, Vol.28, pp.6-13 (2006).
[21].Terninko, J., “The QFD, TRIZ and Taguchi Connection : Customer– Driven Robust Innovation,” The Ninth Symposium on Quality Function Deployment, pp.374-380 (1997).
[22].León-Rovira, N. and Aguayo, H., “A new Model of the Conceptual Design Process using QFD/FA/TRIZ,” The TRIZ Journal. http://www.triz-journal.com/, July (1998).
[23].Apte, P. R.and Mann, D. L., “Taguchi and TRIZ: Comparisons and Opportunities,” The TRIZ Journal, http://www.triz-journal.com/, November, (2001).
[24].Mann, D. L., “Assessing the Accuracy of the Contradiction Matrix For Recent Mechanical Inventions,” The TRIZ Journal.http://www.triz-journal.com/, February (2002).
[25].Fey, V.and Rivin, E., “Innovation on Demand: New Product Development Using TRIZ,” Cambridge University Press, UK,(2005).
[26].Savransky, S. D., “Engineering of Creativity –Introduction to TRIZ Methodology of Inventive Problem Solving”, CRC Press, New York, (2000).
[27].鄭振興，「利用知識工程技術進行支撐結構設計評估與設計改善之研究」，國立台灣科技大學機械工程學系，博士論文，台北(2011)。
[28].黃浩誠，「應用改良之TRIZ理論結合QFD於補償式化學機械拋光終點偵測及補償路徑之改善」，國立台灣科技大學機械工程學系，碩士論文，台北(2007)。
[29].Gruber, T., “A Translation Approach to Portable Ontology Specifications”, Knowledge Acquisition, Vol.5, pp.199-200 (1993).
[30].O’Leary, D.E., “Enterprise Knowledge Management”, IEEE Computer, Vol.31, pp.54-61 (1998).
[31].Tzeng, G. H., Chiang, C. H., Li, C. W., “Evaluating intertwined effects ine-learning programs: A novel hybrid MCDM model based on FactorAnalysis and DEMATEL,” Exper Systems with Applications Vol.32, No4, pp.1028-1044 (2007).
[32].Ou Yang, Y. P., Shieh, H. M., Leu, J. D. and Tzeng, G. H., “A Novel Hybrid MCDM Model Combined with DEMATEL and ANP with Applications”, International Journal of Operations Researc, Vol.5, No.3, pp.1-9 (2008).
[33].李杰穎，「以混合多目標決策方法建立永續供應商評估模型」，中原大學工業與系統工程學系，碩士論文，桃園(2013)。
[34].Sugiyanto and Rochimah, S.,“Integration of DEMATEL and ANP Methods for Calculate the Weight of Characteristics Software Quality Based Model ISO 9126, ”Information Technology and Electrical Engineering (ICITEE), International Conference (2013).
[35].Wu,W. W., “Choosing Knowledge Management Strategies by Using a Combined ANP and DEMATEL Approach,”Journal of the Expert Systems with Applications, Vol.35, Issue 3, pp.41-52 (2005).
[36].Hwang, C. L., “Multiple Attribute Decision Making Methods and Applications: A State of the Art Survey”, Springer-Verlag, New York (1981).
[37].Stelois, H. Z. and Anthony, S., “Mulit-attribute decision making: A simulation comparison of select methods,” European Journal of Operational Research , Vo1.7, pp.507-529 (1998).
[38].Yang, L., “Access Network Selection in a 4G Networking Environment,” A thes is presented to the University of Waterloo in fulfillment of the thes is requirement for the degree of Master of applied Science Electrical and Computer Engineering (2007).
[39].Huan, J. S., “COTS evaluation using modified TOPSIS and ANP,” Applied Mathematics and Computation Vol.77, pp.251-259 (2006).
[40].Adil, B. “Integrating fuzzy DEMATEL and fuzzy hierarchical TOPSIS methods for truck selection, ” Expert Systems with Applications, Vol.40, No3, pp.899-907 (2013).
[41].石彥傑，「應用DANP於LED舞台燈設計之方案評選及改善之研究」，國立台灣科技大學機械工程學系，碩士論文，台北(2017)。
[42].Saaty, T.L. and Takizawa, M., “Dependence and Independence: From Linear Hierarchies to Nonlinear Networks,” European Journal of Operational Research, Vol.26, Issue 2 , pp.229-237 (1986).
[43].Fontela, E., Gabus, A., “The DEMATEL observer , ” Battelle Geneva ResearchCenter, Switzerland Geneva.(1976).
[44].沈柏誠，「結合模糊理論與修正DANP於LED投射燈創新方案評選及設計」，國立台灣科技大學機械工程學系，碩士論文，台北(2016)。
[45].李瑋浩，「TOPSIS群體理想解整合模式之研究」，國立成功大學工業與資訊管理學系，碩士論文，台南(2009)。
[46].劉岳樺，軌道燈裝置，台灣專利，TW M469430 (2014)。