Multi-level Comprehensive Evaluation Model Based on Triangular Fuzzy Numbers and Gray Relational Theory

DOI

10.2991/cmes-15.2015.69How to use a DOI?

Keywords

gray relational theory; multi-level comprehensive evaluation model; fuzzy numbers;

Abstract

According to grey correlation method is used for multi-level comprehensive evaluation model of the optimal design scheme selection, the fuzzy index exists in the design scheme index, based on triangular fuzzy number of grey correlation theory is proposed on the multi-level comprehensive evaluation model. The triangular fuzzy number was introduced to the grey correlation method was used to design scheme selection of multiple products, First of all, according to the fuzzy index and the corresponding relation of triangular fuzzy number, The design scheme of the fuzzy index is transformed into the corresponding triangular fuzzy Numbers. And then according to the traditional calculating grey correlation coefficient formula, based on triangular fuzzy number of grey correlation coefficient formulas was deduced. Then using triangle fuzzy number operation rule and triangular fuzzy number ranking method, as well as the derivation of grey correlation coefficient formula of triangular fuzzy number, The triangular fuzzy number theory of grey correlation product multi-level comprehensive evaluation model of the optimal solution is established, Using grey correlation theory of multilevel fuzzy comprehensive evaluation model of scheme selection of indicators of problems have been solved. Finally, a numerical example illustrates the use of the method to solve the optimal solution process, Results show that the method for complex, multi-level haveing problems with fuzzy information, has good operability and practical consistency.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Heng Yang
AU  - Gening Xu
AU  - Xiaoning Fan
PY  - 2015/04
DA  - 2015/04
TI  - Multi-level Comprehensive Evaluation Model Based on Triangular Fuzzy Numbers and Gray Relational Theory
BT  - Proceedings of the 2nd International Conference on Civil, Materials and Environmental Sciences
PB  - Atlantis Press
SP  - 246
EP  - 250
SN  - 2352-5401
UR  - https://doi.org/10.2991/cmes-15.2015.69
DO  - 10.2991/cmes-15.2015.69
ID  - Yang2015/04
ER  -