Abstract
An extended VIsekriterijumska optimizacija i KOmpromisno Resenje (VIKOR) method in group decision-making (GDM) setting is developed in this paper. The decision information is characterized by picture fuzzy number. A new GDM model is established and applied to software reliability assessment. First, this research finds that the current projection measure is not always reasonable in picture fuzzy setting. To solve this problem, a new normalization projection measure is developed in picture fuzzy setting. In addition, this research also finds that the most VIKOR-based GDM method requires a collective decision as a carrier to get an optimal solution. However, if a collective decision is aggregated by all the individual decisions, the positive and negative information might be canceled each other out in the decision process. To solve this problem, this paper proposes a direct VIKOR-based GDM method. The values of three VIKOR indexes are determined by the original decision matrices. The feasibility and practicability developed method in this work are illustrated by an example of software reliability assessment and some experimental analyses.
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