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Journal of Control Science and Engineering
Volume 2015, Article ID 943795, 12 pages
Research Article

Material Selection in Engineering Design Using Choquet Integral-Based Linguistic Operators under Hybrid Environment

Engineering Training Center, Huaihai Institute of Technology, Lianyungang, Jiangsu 222005, China

Received 27 March 2015; Revised 1 July 2015; Accepted 14 July 2015

Academic Editor: Kalyana C. Veluvolu

Copyright © 2015 Anhua Peng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The performance of phase change materials directly influences the performance and cost of thermal energy storage, and it is the first important task to select the suitable phase change materials for use in a particular kind of applications. Due to the decision maker’s knowledge field and the nature of evaluated attributes, assessments are always with different formats, which were first unified into the linguistic terms in the basic linguistic term set. Two-additive fuzzy measures were used to model criteria interactions by pairs, and the special expressions of Marichal entropy and Choquet integral were derived, more convenient to use in practice. Fuzzy measures were identified based on the maximum of Marichal entropy, and, based on the Choquet integral, the linguistic hybrid weighted geometric averaging with interaction was developed for integrating the individual attributes’ ratings. The detailed decision making procedure was illustrated, with the material 33.2Cu as the optimal solution, which by comparison is reasonable and trustworthy.