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Chance Single Sampling Plan for Variables

Author

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  • Sampath Sundaram

    (Department of Statistics, University of Madras, Chennai, India)

  • Lalitha Singhan Madhavachari

    (Department of Mathematics, Sri Sairam Institue of Technology, Chennai, India)

  • Ramya Balu

    (Department of Statistics, University of Madras, Chennai, India)

Abstract

This paper considers the design of single sampling plan for variables when the experimental values are treated as observations on independently and identically distributed normal random variables with fuzzy mean value. The design makes use of Liu's (2008) model IV of Chance Theory. Sampling Plans determined by the sample sizes and acceptance numbers are constructed for situations involving imprecise parameter on using chance theory. The process of determining sample sizes and acceptance threshold values has been carried out on assuming the observed values have hybrid normal distribution. Optimal chance sampling plans for variables are also determined by using minimum angle criterion for different choices of fuzzy risks.

Suggested Citation

  • Sampath Sundaram & Lalitha Singhan Madhavachari & Ramya Balu, 2015. "Chance Single Sampling Plan for Variables," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 4(1), pages 43-59, January.
  • Handle: RePEc:igg:jfsa00:v:4:y:2015:i:1:p:43-59
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