Abstract
Axiomatic design (AD) provides a framework to describe design objects and a set of axioms to evaluate relations between intended functions and means by which they are achieved. It has been extended to evaluate alternatives in engineering under fuzzy environment. With respect to multiple criteria group decision making (MCDM) with incomplete weight information under fuzzy linguistic environment, a new method is proposed. In the method, the fuzzy axiomatic design based on triangle representation model is used to aggregate the linguistic evaluating information. In order to get the weight vector of the criteria, we establish a nonlinear optimization model based on the basic ideal of fuzzy axiomatic design (FAD), by which the criteria weights can be determined. It is based on the concept that the optimal alternative should have the least weighted information content. Then, the weighted information content is derived by summing weighted information content for each criterion. The alternative that has the least total weighted information content is the best. Finally, a numerical example is used to illustrate the availability of the proposed method.
Highlights
The increasing complexity of the socio-economic environment makes multiple criteria decision-making MCDM problems widespread in engineering decision making
We develop a practical method based on the traditional ideas of axiomatic design for linguistic group decision-making problem with incomplete weight information
We make the extension of axiomatic design method for fuzzy linguistic multiple criteria group decision making with incomplete weight information
Summary
The increasing complexity of the socio-economic environment makes multiple criteria decision-making MCDM problems widespread in engineering decision making. AD principles allow for the selection of the best alternative within a set of criteria and the most appropriate alternative It is the main difference between the classical MCDM method and AD. Kulak developed a decision support system called FUMAHES based on information axiom of the design principles to handle equipment selection problem. Kulak and Kahraman proposed the new MCDM method based on information axiom under fuzzy environment. A new method for fuzzy linguistic multiple criteria group decision-making problem with incomplete weight information based on the traditional ideas of axiomatic design is developed. We develop a practical method based on the traditional ideas of axiomatic design for linguistic group decision-making problem with incomplete weight information.
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