A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number

Ahmad, Mohammad Nazir; Cheng, Weihu

doi:10.3390/math10193572

Cited by 10 publications

(5 citation statements)

References 35 publications

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“…, where, l , m , and  , respectively, represent the value with the least likelihood of the risk probability, the value in the middle of the likelihood, and the value with the greatest likelihood. The triangular blur number is shown in Figure 5 [31]. Then, the Tri-AHP method is adopted to evaluate the index weight as follows [32][33][34].…”

Section: Methods Of Tri-ahpmentioning

confidence: 99%

Vulnerability Assessment of Mine Flooding Disaster Induced by Rainstorm Based on Tri-AHP

Sun

Liu

2022

Sustainability

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As a disaster-bearing body, the coal mine is vulnerable to the impact threat of rainstorm disasters, which easily induce flooding accidents. In view of this, this study is designed to propose the vulnerability assessment method of rainstorm-induced coal mine flooding disasters. On account of the scientific theory of disaster risk, the evaluation model and index system of coal mine flooding disaster induced by rainstorm covering exposure, fortification level, and resilience are constructed, while the vulnerability assessment method based on Tri-AHP method is proposed. Study results demonstrate that population exerts the greatest impact on exposure, wellhead elevation matters the most for fortification level, and the emergency plan has a dominant influence on resilience. Therefore, for coal mines, it is suggested to strengthen the special rainstorm emergency plan drill, improve the fortification level, and solidify the emergency duty during the rainy season. In this study, the rainstorm disaster vulnerability assessment method of coal mine is innovatively put forward, which is conducive to sustainable energy and environmental development.

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Section: Methods Of Tri-ahpmentioning

confidence: 99%

Vulnerability Assessment of Mine Flooding Disaster Induced by Rainstorm Based on Tri-AHP

Sun

Liu

2022

Sustainability

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“…Chatterjee and Chakraborty [65] described this procedure for the C pkL and C pkU indices, i.e., for the cases of one-sided tolerance limits. Ahmad and Cheng [66] developed the X and R fuzzy control chart based on fuzzy process capability indices Cp and Cpk using triangular fuzzy numbers for unknown population parameters µ and σ.…”

Section: Confidence Intervals For Capability Indicesmentioning

confidence: 99%

Process Capability Evaluation Using Capability Indices as a Part of Statistical Process Control

Benková,

Bednárová,

Bogdanovská

2024

Mathematics

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This study aims to highlight the importance of a systematic approach to process capability assessment and the importance of following a sequence of steps. Statistical process control provides several different ways of assessing process capability. This study evaluates the process capability of crown cap manufacturing through capability indices. In addition to calculating the indices, the evaluation involves extensive data analysis. Before calculating the capability indices, the assumptions for their correct selection and use were also verified. Several statistical tests were used to verify each assumption. The research value of the study lies in pointing out that not all tests led to the same conclusions. It highlights the importance of selecting the appropriate test type for the evaluated process quality characteristics.

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“…In their study, the process capability is estimated using the M-estimator and the Fast-τ-estimator. (Ahmad and Cheng, 2022) proposed a new approach to solve the fuzzy 𝑋 ̅ − 𝑅 control charts with fuzzy process capability indices using fuzzy decision parameters using triangular fuzzy numbers. In another study, introduced a method to deal with obtaining a fuzzy 𝑋 ̅ − 𝑆 control charts using trapezoidal fuzzy number.…”

Section: Process Capability Analysis For Simple Linear Profiles In Mu...mentioning

confidence: 99%

Process Capability Analysis for Simple Linear Profiles in Multistage Processes

Adibfar,

Noorossana

2024

Pak.j.stat.oper.res.

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When a process is statistically under control, one may be interested in assessing the process performance based on the specification limits provided by the customer. This evaluation is referred to as process capability analysis. Manufacturing operations are often involved with multistage processes, in which the output of a stage is the input of its subsequent stage. This property is known as the cascade property. Existing methods in capability analysis studies are not applicable when a process or product is represented by profiles. This study presents a method to conduct process capability analysis in a multistage process when quality of a product or process is characterized by a simple linear profile. The performance of the proposed method for a two-stage process is evaluated by numerical simulation using an example from the literature. The results indicate that the proposed method eliminates the effect of the cascade property for different shift sizes and autocorrelations.

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A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number

Cited by 10 publications

References 35 publications

Vulnerability Assessment of Mine Flooding Disaster Induced by Rainstorm Based on Tri-AHP

Vulnerability Assessment of Mine Flooding Disaster Induced by Rainstorm Based on Tri-AHP

Process Capability Evaluation Using Capability Indices as a Part of Statistical Process Control

Process Capability Analysis for Simple Linear Profiles in Multistage Processes

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