Modeling Reliability of Threshold Weighted Indecisive Voting Systems

In industry, the method of hypothesis acceptance based on available information is widely used in applications such as system modeling. Xie and Pham modeled the reliability of weighted threshold voting systems with a general recursive reliability function in human organization systems. As an extended study, we introduce a generalized weighted indecisive-voting n-unit system using a new decision rule consisting both a threshold parameter τ and a new indecisive parameter θ. In general, indecision happens due to limited information, and an indecisive parameter is then applied if no decision is made. System reliability R is calculated to show the system performance. Main results imply a strong dependence of system performance on decision rule and large potential of model adjustment via parameter initialization. The contribution of this article is that we introduce the indecisive effect to make the model more adjustable for specific needs.