Dissertation > Excellent graduate degree dissertation topics show

Multi-criteria Decision Making Methods on Quasi-linear Fuzzy Number

Author: TanXiuQing
Tutor: WangJianQiang; GaoYang
School: Central South University
Course: Management Science and Engineering
Keywords: quasi-linear fuzzy number fuzzy multi-criteriadecision making incomplete information SMEs credit rating
CLC: C934
Type: Master's thesis
Year: 2012
Downloads: 9
Quote: 0
Read: Download Dissertation

Abstract


There are lots of fuzzy multi-criteria decision making (FMCDM) problems in social and economic life and multi-criteria decision making based on fuzzy numbers is an important branch of them. Compared to the traditional fuzzy sets, fuzzy numbers can portray fuzzy information better. So far, researches on multi-criteria decision making methods based on fuzzy numbers have made great progress, but along them there appeared some new questions, one of which is all kinds of different types of fuzzy numbers make it very difficult to uniform the decision-making information. In addition, for the kind of multi-criteria decision making problems the criteria value of which is a mixture of various types of fuzzy numbers or a mixture of fuzzy numbers with linguistic information, there still exist some limitations. Quasi-linear fuzzy numbers can represent basic types of fuzzy numbers uniformly and it also has advantage in describing fuzzy information given in the form of linguistic terms, which makes the researches on the multi-criteria decision making methods based on quasi-linear fuzzy numbers become very prerequisite.On the basis of summarizing and analyzing achievements of the previous studies, this paper riches and improves the current multi-criteria decision making theories based on fuzzy numbers. By introducing quasi-linear fuzzy numbers into MCDM problems and studying the quasi-linear fuzzy MCDM method in depth, it mainly makes the following achievements:(1) Arithmetic rules and calculation method of quasi-linear fuzzy numbers are analyzed in detail and the quasi-linear fuzzy weighted arithmetic averaging (QLWAA) operator is proposed, laying the foundation of the further research. The comparison method of quasi-linear fuzzy numbers is proposed with some examples followed to demonstrate its validity and rationality. Expected value of quasi-linear fuzzy numbers is defined and considering the fact the relative points of quasi-linear fuzzy numbers with greater membership degree should be assigned greater weights the concept of possibilistic expected value is presented. For the MCDM problems with complete weight information, the QLWAA operator and the expected value are combined to solve it. Simultaneously, for the MCDM problems where the criteria weights are completely unknown, the weights are determined by solving the optimization model which maximizing deviations between all alternatives. Thus the MCDM model is established where the criteria values are quasi-linear fuzzy numbers with completely unknown weights based on expected value and COPRAS method respectively.(2) The quasi-linear fuzzy MCDM problems with incomplete information of criteria weights are studied. Some measurement indexes of quasi-linear fuzzy numbers such as distance, closeness, gravity and area are defined. For determining the optimal weights two programming models are established, based on the idea minimizing the closeness to absolute optimal solution and the idea maximizing the gravity index of criteria values in forms of quasi-linear fuzzy numbers respectively. Further making use of TOPSIS method as well as the gravity and area indexes, two models are established to solve quasi-linear fuzzy MCDM problems with incomplete weights information.(3) For SMEs credit rating problem with mixed decision information, the relative decision making method is proposed based on quasi-linear fuzzy numbers. When dealing with the qualitative criteria, quasi-linear fuzzy number is able to assign several adjacent linguistic grades to the evaluation criteria with its membership degree, which can reflect the confidence degree and hesitation of the decision maker and overcome the drawbacks of previous reviews which always evaluate the criteria with single linguistic grade. For the quantitative criteria in SMEs credit evaluation, the financial conditions, a method is proposed to convert them into quasi-linear fuzzy numbers based on the linguistic grades. Thus, the issue of SMEs credit rating is transformed the MCDM problem based on quasi-linear fuzzy numbers, which can be solved which the previous proposed decision making methods. Finally the SMEs credit rating method is verified through numerical examples.

Related Dissertations

  1. Incomplete information on the completeness of the system and its knowledge acquisition,TP311.13
  2. Research mortgage pricing model under incomplete information,F293.3;F832.4
  3. Research Option Pricing Model under Incomplete Information,F830.9
  4. Establishment of Sme Credit Rating Model and Its Application,F224
  5. A Study on Rough Set Based Data Mining Uncertainty,TP311.13
  6. Study on Knowledge Reduction Based on Rough Set and Its Application in Continuing Education,TP18
  7. Analysis on the Users of Agricultural Land and Construction Land by the Deterrence Dynamic Games Theory,F224.32
  8. Research on Emergency Rescue System in Airport,V328
  9. Dynamic Discovery of Incomplete Information in XML,TP311.13
  10. Fault Diagnosis of Power Transformer Based on Rough Set Theory and Petri Nets,TM41
  11. Forcasting Default Applications: Based on Incomplete Information Model,F830.9
  12. Support Vector Machine Based on Trapezoidal Fuzzy Numbers,TP181
  13. Study of the Credit Risk Evaluation Systems for Technology-based Smes in Our Country,F276.44
  14. The Study of Approaches to Multicriteria Decision Making Based on Incomplete Information,C934
  15. The Civil Evidence search and prove that the behavior of the cost analysis and game understanding,D915.2
  16. Moderate Deviations and Chung Type Laws of the Iterated Logarithm of MLE in Random Censoring Model with Incomplete Information,O211.4
  17. Human resource management outsourcing its risk analysis,F272.92
  18. Research on Knowledge Discovery in Scheme Design of Large-Span Steel Space Structures,TU391
  19. Human capital investment risk research,F240
  20. Logical system for incomplete information database,TP311.13
  21. Study on Human-machine Interface Evaluation Method for Main Control Room of Nuclear Power Plant,TL361

CLC: > Social Sciences > Management > Decision Sciences
© 2012 www.DissertationTopic.Net  Mobile