Statistical Quality Control: Acceptance Sampling Plans in the Light of Fuzzy Mathematics

Author:

Bhattacharyya SurajitORCID

Abstract

AbstractStatistical quality control is a productivity enhancing and regulatory technique with three factors––Management, Methods and Mathematics. More precisely, if we want to properly design a self-regulating system for quality, we have to look to the field of cybernetics for design information. Quality improvement management aims to decrease variability, which leads to decrease the costs, the production time, the number of defects, scrap, rework,––and increase the customer satisfaction. Many problems in these scientific investigations generate non-precise data incorporating non-statistical uncertainty. A non-precise observation of a qualitative variable can be described by a special type of membership function defined on the set of all real numbers called a fuzzy number. In this paper, I have thoroughly discussed Acceptance sampling plans (Single, Double, Chain and Sequential) by attributes with the help of fuzzy parameters (mainly by fuzzy Poisson distribution and hypotheses testing). Finally many examples have been used and at last the paper ends with a comparative study.

Funder

Not applicable

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,Statistics and Probability

Reference19 articles.

1. Bhattacharyya, S.: Fuzzy set theory some useful discussions and investigations. Int J Res Granthaalayah 9(8), 125–149 (2021). https://doi.org/10.29121/granthaalayah.v9.i8.2021.4124

2. Buckley, J.J.: Fuzzy probability: new approach and application, physica-velage. Hidelberg, Germany (2003)

3. Chakraborty, T.K.: A class of single sampling plan based on fuzzy optimization. Opsearch 29(1), 11–20 (1992)

4. Chakraborty, T.: K: possibilistic parameter single sampling inspection plans. Opsearch 31(2), 108–126 (1994)

5. Dodge, H.F., Romig, H.G.: Sampling inspection tables, 2nd edn. Wiley, New York (1969)

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3