Picture fuzzy normalized projection and extended VIKOR approach to software reliability assessment

• Published in: Applied soft computing Vol. 88; p. 106056
• Main Author: Yue, Chuan
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2020
• Subjects: Extended VIKOR method; Group decision-making; Normalization projection; Picture fuzzy number; Software reliability assessment; Picture fuzzy number; Group decision-making; Normalization projection; Extended VIKOR method; Software reliability assessment
• ISSN: 1568-4946; 1872-9681
• DOI: 10.1016/j.asoc.2019.106056

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. [Display omitted] •A new normalization projection measure is developed in picture fuzzy setting.•An improved VIKOR method is proposed under group decision-making environment.•A user-based assessment method of software reliability is established.•The assessment is based on new projection and group decision-making method.