Far East Journal of Mathematical Sciences (FJMS)

The Far East Journal of Mathematical Sciences (FJMS) publishes original research papers and survey articles in pure and applied mathematics, statistics, mathematical physics, and other related fields. It welcomes application-oriented work as well.

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EMPLOYMENT OF QUALITY CONTROL FOR SOLDER PASTE THICKNESS OF INTEGRATED CIRCUIT USING FUZZY TRIANGULAR  $\widetilde{\bar{X}}-\widetilde{R}$ CHARTS

Authors

  • Nur Ain Zafirah Ahmad Basri
  • Efendi N. Nasibov
  • Nor Hapiza Mohd Ariffin
  • Nor Azrita Mohd Amin
  • Firdaus Mohamad Hamzah
  • Suliadi Firdaus Sufahani
  • Mohd Saifullah Rusiman

Keywords:

fuzzy charts, charts, cuts, average run length (ARL), solder paste thickness

DOI:

https://doi.org/10.17654/0972087125030

Abstract

Quality has become crucial for consumers, prompting the need for strict control measures. Statistical Process Control (SPC) is widely used to monitor and improve performance, traditionally assuming independent, normally distributed data. However, real-world data often contains uncertainties from human, measurement, or environmental factors, challenging traditional control chart use such as $\bar{X}-R$ control charts. To overcome this, fuzzy control limits based on fuzzy set theory are introduced. This study uses $\alpha$-cuts and fuzzy triangular numbers to develop fuzzy $\widetilde{\bar{X}}-\widetilde{R}$ charts for monitoring solder paste thickness in integrated circuits. These fuzzy charts prove more effective than traditional ones, yielding lower average run length (ARL) values.

Received: May 8, 2025
Accepted: June 12, 2025

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Published

2025-08-11

Issue

Section

Articles

How to Cite

EMPLOYMENT OF QUALITY CONTROL FOR SOLDER PASTE THICKNESS OF INTEGRATED CIRCUIT USING FUZZY TRIANGULAR  $\widetilde{\bar{X}}-\widetilde{R}$ CHARTS. (2025). Far East Journal of Mathematical Sciences (FJMS), 142(4), 539-557. https://doi.org/10.17654/0972087125030

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