A Study on Designing Acceptance Sampling Plans through Trapezoidal Fuzzy Number

Abstract

In acceptance sampling plan, the lot is accepted or rejected depends on the newlineinspection procedure and sampling plan. It plays a major role in many small scale newlineindustries and large scale industries to maintain the standard of the products. In certain newlinesituation the values of acceptance sampling plans are not able to denote in numerical newlinevalue. It is denoted as linguistic terms such as approximately , around , between , etc. newlineThese linguistic terms are converted into mathematical function or numerical values using newlinefuzzy set theory. It is a powerful tool to deal with imprecision present in acceptance newlinesampling plan. newlineFirst chapter consists of basic concepts of Quality Control, Statistical Quality newlinecontrol, Acceptance Sampling Plan , Fuzzy Set Theory, Glossary of Symbols, newlineAbbreviations and Review of Literature. newlineSecond chapter deals with designing DSP -(0,1) plan through trapezoidal fuzzy newlinenumber. In third chapter ChSP-(0,1) plan is developed using trapezoidal fuzzy number. newlineFourth chapter presents a procedure of designing two stage of ChSP-(0,2) plan using newlinetrapezoidal fuzzy number. newlineFifth chapter deals with Modified Chain Sampling Plan (MChSP-1) using newlinetrapezoidal fuzzy number. Two Sided Complete Chain Sampling (TSCChSP-1) Plan newlinethrough trapezoidal fuzzy number is developed in sixth chapter. Seventh chapter designed newlineTwo sided Modified Complete Chain Sampling (TSMCChSP-1) Plan through trapezoidal newlinefuzzy number. Repetitive Group Sampling (RGS) Plan through trapezoidal fuzzy number newlineis presented in eighth chapter. newlineBinomial distribution is used to obtain the fuzzy parameters. Fuzzy probability of newlineacceptance values and fuzzy proportion defective values are calculated for fixed sample newlinesize and also for varying sample sizes . Fuzzy operating characteristic Curve is determined newlineusing fuzzy parameter. When the fuzzy proportion defective value is fixed and changed sample size values, then fuzzy probability of acceptance values are calculated.