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International Journal for Uncertainty Quantification
Algorithm for picture fuzzy multiple attribute decision making based on new distance measure
Picture fuzzy sets are an extension of intuitionistic fuzzy set which can model the situations involving more answers of types: yes, abstain, no, refusal. It is a powerful tool to deal with multiple attribute decision making (MADM) problems. In this paper, we initiate a new axiomatic definition of picture fuzzy distance measure, which is presented by picture fuzzy number (PFN) that will reduce the information loss and remain more original information. Meanwhile, the comparison method is proposed. Then, the objective weights of various attributes are determined via grey systems theory. Combing objective weights with subjective weights, we introduce the combined weights. Later, we give an algorithm to solve MADM problem based on distance measure. Finally, the effectiveness and feasibility of the algorithm is demonstrated by a numerical example.
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