Journal of Statistical and Econometric Methods

Control Chart Based on Transition Probability Approach

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• Abstract

  A Transition Probability approach is developed for constructing control charts to monitor attribute processes when sample data sets are collected in linguistic forms. Resulting performance of Markov chain (MC) theory based control chart called transition probability control chart (TPCC) is compared with that of the membership approach based control chart called fuzzy control chart (FCC). A numerical example is given to illustrate the application of the proposed control charts to check if the FCC performs better than the TPCC in monitoring the quality characteristics of a production process.