Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment

Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment
Title Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment PDF eBook
Author Muhammad Aslam
Publisher Infinite Study
Pages 14
Release
Genre Mathematics
ISBN

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Existing control charts based on failure-censored (Type-II) reliability tests were designed using classical statistics. Classical statistics was applied for the monitoring of the process when observations in the sample or the population were determined. Neutrosophic statistics (NS) are applied when there is uncertainty in the sample or population. In this paper, a control chart for failure-censored (Type-II) reliability tests was designed using NS. The design of a control chart for the Weibull distribution, which is applied when there is a lack of symmetry using neutrosophic statistics, is given. The proposed control chart was used to monitor the neutrosophic mean and neutrosophic variance, which are related to the neutrosophic scale parameter. The advantages of the proposed control chart over the existing control chart are discussed.

Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment

Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment
Title Control Chart for Failure-Censored Reliability Tests under Uncertainty Environment PDF eBook
Author Muhammad Aslam
Publisher Infinite Study
Pages 14
Release
Genre Mathematics
ISBN

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In this paper, a control chart for failure-censored (Type-II) reliability tests was designed using NS. The design of a control chart for the Weibull distribution, which is applied when there is a lack of symmetry using neutrosophic statistics, is given.

Design of 𝑺𝑵 𝟐 − 𝑵𝑬𝑾𝑴𝑨 Control Chart for Monitoring Process having Indeterminate Production Data

Design of 𝑺𝑵 𝟐 − 𝑵𝑬𝑾𝑴𝑨 Control Chart for Monitoring Process having Indeterminate Production Data
Title Design of 𝑺𝑵 𝟐 − 𝑵𝑬𝑾𝑴𝑨 Control Chart for Monitoring Process having Indeterminate Production Data PDF eBook
Author Muhammad Aslam
Publisher Infinite Study
Pages 15
Release
Genre Mathematics
ISBN

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The existing charts for monitoring the variance are designed under the assumption that all production data must consist of exact, precise, and determined observations. This paper presents the design of a new neutrosophic exponentially weighted moving average (NEWMA) combining with a neutrosophic logarithmic transformation chart for monitoring the variance having neutrosophic numbers. The computation of the neutrosophic control chart parameters is done through the neutrosophic Monte Carlo simulation (NMCS). The performance of the proposed chart is discussed with the existing charts.

Attribute Control Chart Using the Repetitive Sampling under Neutrosophic System

Attribute Control Chart Using the Repetitive Sampling under Neutrosophic System
Title Attribute Control Chart Using the Repetitive Sampling under Neutrosophic System PDF eBook
Author Muhammad Aslam
Publisher Infinite Study
Pages 17
Release
Genre Mathematics
ISBN

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In this manuscript, an attribute control chart using the repetitive sampling under the neutrosophic statistics system is discussed. The necessary measures of the proposed control chart under the neutrosophic statistics system are given. The control chart coefficients of the proposed control chart are determined using an algorithm under neutrosophic statistics system. The efficiency of the proposed control chart in terms of neutrosophic average run length (NARL) is discussed over the existing control chart under neutrosophic statistics system. From the comparison studies, it is found that the proposed control chart under neutrosophic statistics system is more sensitive in detecting a shift in the process as compared to existing control chart under neutrosophic statistics system. An industrial application of the proposed control chart under neutrosophic statistics system is also given.

Design of X-Bar Control Chart for Resampling Under Uncertainty Environment

Design of X-Bar Control Chart for Resampling Under Uncertainty Environment
Title Design of X-Bar Control Chart for Resampling Under Uncertainty Environment PDF eBook
Author MUHAMMAD ASLAM
Publisher Infinite Study
Pages 11
Release
Genre Mathematics
ISBN

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This paper presents the designing of the X-bar control chart using resampling scheme under the uncertainty environment. The necessary measures of the present chart are derived under the neutrosophic system. The neutrosophic average run length (NARL) when the process is in-control and out-of-control are derived under the neutrosophic statistical interval method (NSIM). The neutrosophic control chart coefcients are determined through the algorithm developed under NSIM. The comparative study shows that the proposed chart is better than the existing chart in NARL.

Design of a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment

Design of a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment
Title Design of a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment PDF eBook
Author Muhammad Aslam
Publisher Infinite Study
Pages 10
Release
Genre Mathematics
ISBN

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This paper will introduce the neutrosophic COM-Poisson (NCOM-Poisson) distribution. Then, the design of the attribute control chart using the NCOM-Poisson distribution is given.The structure of the control chart under the neutrosophic statistical interval methodwill be given.Thealgorithm to determine the average run length under neutrosophic statistical interval systemwill be given. The performance of the proposed control chart is compared with the chart based on classical statistics in terms of neutrosophic average run length (NARL). A simulation study and a real example are also added. From the comparison of the proposed control chart with the existing chart, it is concluded that the proposed control chart is more efficient in detecting a shift in the process. Therefore, the proposed control chart will be helpful in minimizing the defective product. In addition, the proposed control chart is more adequate and effective to apply in uncertainty environment.

Collected Papers. Volume XIV

Collected Papers. Volume XIV
Title Collected Papers. Volume XIV PDF eBook
Author Florentin Smarandache
Publisher Infinite Study
Pages 970
Release 2022-11-01
Genre Mathematics
ISBN

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This fourteenth volume of Collected Papers is an eclectic tome of 87 papers in Neutrosophics and other fields, such as mathematics, fuzzy sets, intuitionistic fuzzy sets, picture fuzzy sets, information fusion, robotics, statistics, or extenics, comprising 936 pages, published between 2008-2022 in different scientific journals or currently in press, by the author alone or in collaboration with the following 99 co-authors (alphabetically ordered) from 26 countries: Ahmed B. Al-Nafee, Adesina Abdul Akeem Agboola, Akbar Rezaei, Shariful Alam, Marina Alonso, Fran Andujar, Toshinori Asai, Assia Bakali, Azmat Hussain, Daniela Baran, Bijan Davvaz, Bilal Hadjadji, Carlos Díaz Bohorquez, Robert N. Boyd, M. Caldas, Cenap Özel, Pankaj Chauhan, Victor Christianto, Salvador Coll, Shyamal Dalapati, Irfan Deli, Balasubramanian Elavarasan, Fahad Alsharari, Yonfei Feng, Daniela Gîfu, Rafael Rojas Gualdrón, Haipeng Wang, Hemant Kumar Gianey, Noel Batista Hernández, Abdel-Nasser Hussein, Ibrahim M. Hezam, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Muthusamy Karthika, Nour Eldeen M. Khalifa, Madad Khan, Kifayat Ullah, Valeri Kroumov, Tapan Kumar Roy, Deepesh Kunwar, Le Thi Nhung, Pedro López, Mai Mohamed, Manh Van Vu, Miguel A. Quiroz-Martínez, Marcel Migdalovici, Kritika Mishra, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohammed Alshumrani, Mohamed Loey, Muhammad Akram, Muhammad Shabir, Mumtaz Ali, Nassim Abbas, Munazza Naz, Ngan Thi Roan, Nguyen Xuan Thao, Rishwanth Mani Parimala, Ion Pătrașcu, Surapati Pramanik, Quek Shio Gai, Qiang Guo, Rajab Ali Borzooei, Nimitha Rajesh, Jesús Estupiñan Ricardo, Juan Miguel Martínez Rubio, Saeed Mirvakili, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, Ahmed A. Salama, Nirmala Sawan, Gheorghe Săvoiu, Ganeshsree Selvachandran, Seok-Zun Song, Shahzaib Ashraf, Jayant Singh, Rajesh Singh, Son Hoang Le, Tahir Mahmood, Kenta Takaya, Mirela Teodorescu, Ramalingam Udhayakumar, Maikel Y. Leyva Vázquez, V. Venkateswara Rao, Luige Vlădăreanu, Victor Vlădăreanu, Gabriela Vlădeanu, Michael Voskoglou, Yaser Saber, Yong Deng, You He, Youcef Chibani, Young Bae Jun, Wadei F. Al-Omeri, Hongbo Wang, Zayen Azzouz Omar.