{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T15:27:34Z","timestamp":1770478054259,"version":"3.49.0"},"reference-count":40,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2018,4,19]],"date-time":"2018-04-19T00:00:00Z","timestamp":1524096000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2018,4,19]]},"abstract":"<jats:p>\n                    Traditional multiple deferred state (MDS) sampling plan by variable is not able to decide about lots of products whose proportion parameter (\n                    <jats:italic>p<\/jats:italic>\n                    ) is uncertain. In this study, fuzzy MDS (FMDS) variable sampling plan is proposed when\n                    <jats:italic>p<\/jats:italic>\n                    is not precise for the inspection of normally distributed quality characteristics in two cases known and unknown standard deviation. The plan parameters are obtained by the optimization problem, in which the objective function is considered to minimise sum of the fuzzy producer\u2019s and consumer\u2019s risks and the constraints are formulated by use of two-point approach under the specific fuzzy values of the producer\u2019s and consumer\u2019s risk, indexed by fuzzy limiting and acceptable quality levels. The proposed plan includes variable fuzzy single sampling plan (FSSP) as a special case. The obtained results show that the operating characteristic curve of FMDS variable plan seems to be closer to the ideal one with smaller required average sample number compared to variable FSSP. An industrial example is presented to illustrate the proposed plan in real applications.\n                  <\/jats:p>","DOI":"10.3233\/jifs-17907","type":"journal-article","created":{"date-parts":[[2018,4,20]],"date-time":"2018-04-20T11:20:28Z","timestamp":1524223228000},"page":"2737-2752","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Fuzzy multiple deferred state variable sampling plan"],"prefix":"10.1177","volume":"34","author":[{"given":"Robab","family":"Afshari","sequence":"first","affiliation":[{"name":"Department of Statistics, International Campus, Ferdowsi University of Mashhad, Mashhad, Iran"}]},{"given":"Bahram","family":"Sadeghpour Gildeh","sequence":"additional","affiliation":[{"name":"Department of Statistics, International Campus, Ferdowsi University of Mashhad, Mashhad, 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