Applying distance, similarity, and correlation coefficient to develop an intuitionistic fuzzy TOPSIS method
| Autor: | Hui En Chien, 簡暉恩 |
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| Rok vydání: | 2012 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 100 TOPSIS method has been widely used in multiple criteria decision making problems. It considers distance between each alternative with positive ideal solution and negative ideal solution for the optimum alternative. TOPSIS method usually calculates the separation measures by Euclidean distance formula. The generality of study focus on separation measure, but they just only discuss the influence of decision making results by replacing different distance formula. TOPSIS method has expanded to intuitionistic fuzzy environment which is an important concept by extending fuzzy theory. This study is based on intuitionistic fuzzy sets to develop TOPSIS method that make decision making information close to human judgment call and expand TOPSIS by replacing distance, similarity, and correlation coefficient formula into separation measure. There are four major categories to optimize TOPSIS method: decision making by fuzzy information, making weight objective, combine with analytic hierarchy process, and replacing distance formula. This study reviews reference and sorts out some formulas for distance, similarity, and correlation coefficient. Following operating by random number, nine formulas are chosen and converted formulas to separation measures. To modify combination weighting rationality evaluation estimates to improve TOPSIS method. The numerical example illustrates the most reasonable separation measure is distance formula, but similarity and correlation coefficient also have high rationality. Although distance formula is the most reasonable separation measure, similarity and correlation coefficient formula certainly have practicability and validity. This thesis suggests adding inclusion and entropy measures to separation measure and developing to different field’s decision making problems in the future. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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