Abstract
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.
Highlights
Engineering design draws on tens of thousands of materials and on many hundreds of processes to shape, join, and finish them
For group decision making problems, experts may express linguistic preferences over attributes or alternatives with different cardinalities, so in the process of information integration we should first uniform the linguistic terms with different cardinalities into the ones in the basic linguistic term set (BLTS)
Based on the basic Choquet integrals [14], this paper develops the operators considering the interactions between attributes
Summary
Engineering design draws on tens of thousands of materials and on many hundreds of processes to shape, join, and finish them. Due to the decision maker’s knowledge field, attitudes, motivations, and personality and the nature of evaluated attributes, the decision makers may provide the assessments with different formats Such a type of MADM problems is called the fuzzy heterogeneous MADM problems with which seldom literature deals [9]. Liu et al in [12] proposed that considering the interrelationship of the material indices is one of the subjects that should receive some more attention in the process of material selection It is true, for a decision making model considering interdependences among attributes is more scientific, accurate than that not considering interdependences, which is only a special case in decision making problems. Two Choquet integral-based operators were proposed to obtain the overall ratings of each alternative, which were used to sort all alternatives
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