Abstract
Uncertainty theory is a branch of axiomatic mathematics dealing with experts’ belief degree. Considering the uncertainty with experts’ belief degree in the evaluation system and the different roles which different indices play in evaluating the overall goal with a hierarchical structure, a new comprehensive evaluation method is constructed based on uncertainty theory. First, index scores and weights of indices are described by uncertain variables and evaluation grades are described by uncertain sets. Second, weights of indices with respect to the overall goal are introduced. Third, a new uncertainty comprehensive evaluation method is constructed and proved to be a generalization of the weighted average method. Finally, an application is developed in evaluating software quality, which shows the effectiveness of the new method.
Highlights
Due to human language and technology difficulties, it is difficult to provide an effect and objective evaluation for a system
Lee et al [6] proposed a systematic approach to evaluation of new service concepts by integrating the merit of group analytic hierarchy process in modeling multicriteria decision-making problems
Geng et al [7] presented a new integrated design concept evaluation approach based on vague sets in order to provide a method for complicated multicriteria decision-making problem under uncertain environments
Summary
Due to human language and technology difficulties, it is difficult to provide an effect and objective evaluation for a system. Saaty [1] proposed the analytic hierarchy process (AHP), a method to address multicriteria decision analysis with quantitative and qualitative information. Some decision-makers may be reluctant or unable to assign exact numbers to comparison judgments because some evaluation criteria are subjective and qualitative. Chen et al [5] provided an evaluation method for enterprisers making investment decisions under hybrid cloud environment using grey system theory. Lee et al [6] proposed a systematic approach to evaluation of new service concepts by integrating the merit of group analytic hierarchy process in modeling multicriteria decision-making problems. Geng et al [7] presented a new integrated design concept evaluation approach based on vague sets in order to provide a method for complicated multicriteria decision-making problem under uncertain environments. Using finite-time control and backstepping control approaches, Li et al [10] proposed a new robust adaptive synchronization scheme to make the synchronization errors of the systems with parameter
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