Monitoring the Variability in the Process Using Neutrosophic Statistical Interval Method

Monitoring the Variability in the Process Using Neutrosophic Statistical Interval Method PDF

Author: Muhammad Aslam

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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Existing variance control charts are designed under the assumptions that no uncertain, fuzzy and imprecise observations or parameters are in the population or the sample. Neutrosophic statistics, which is the extension of classical statistics, has been widely used when there is uncertainty in the data. In this paper, we will originally design S2 control chart under the neutrosophic interval methods.

Control Chart for Variance Using Repetitive Sampling Under Neutrosophic Statistical Interval System

Control Chart for Variance Using Repetitive Sampling Under Neutrosophic Statistical Interval System PDF

Author: Muhammad Aslam

Publisher: Infinite Study

Published:

Total Pages: 10

ISBN-13:

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In this paper, a control chart for variance using the repetitive sampling under the neutrosophic statistics is proposed. The proposed control chart can be applied for monitoring the variability in the process when some observations/parameters are unclear and indeterminate. The operational procedure of the proposed control chart and the necessary measures are given for the practical use of the proposed control chart. The control chart parameters are determined through the algorithm under neutrosophic statistical interval method. The efficiency of the proposed control chart is compared with the existing control chart in neutrosophic average run length. From the simulation study and a real example, it is concluded that the proposed control chart is more efficient in detecting a shift in the process and more adequate, effective, informative, and exible under the uncertainty environment.

Monitoring the Process Based on Belief Statistic for Neutrosophic Gamma Distributed Product

Monitoring the Process Based on Belief Statistic for Neutrosophic Gamma Distributed Product PDF

Author: Muhammad Aslam

Publisher: Infinite Study

Published:

Total Pages: 17

ISBN-13:

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In this paper, we developed a control chart methodology for the monitoring the mean time between two events using the belief estimator under the neutrosophic gamma distribution. The proposed control chart coefficients and the neutrosophic average run length (NARL) have been determined using different process settings. The performance of the proposed chart is compared with the control chart under classical statistics in terms of NARL using the simulation data and real example. From comparisons, it is concluded that the proposed chart is efficient, effective and adequate to be used under uncertainty environment than the chart under classical statistics.

Monitoring Non-Conforming Products Using Multiple Dependent State Sampling Under Indeterminacy-An Application to Juice Industry

Monitoring Non-Conforming Products Using Multiple Dependent State Sampling Under Indeterminacy-An Application to Juice Industry PDF

Author: Mohammed Albassam

Publisher: Infinite Study

Published:

Total Pages: 8

ISBN-13:

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In this article a new np control chart for the multiple dependent state sampling using the neutrosophic statistics has been introduced for the efcient monitoring of the number of defective items in any production process or the customer services agencies. The coefcients of the control limits of the proposed control chart have been determined using the neutrosophic algorithms. The efficiency of its quick performance has been determined by computing the neutrosophic average run lengths with respect to different false alarm rates under different process settings at different process shift levels. The comparison with the existing counterparts for the quick detecting ability of the proposed chart has also been conducted. The practical application of the proposed chart has been elucidated using a real-world example.

A New X-Bar Control Chart for Using Neutrosophic ExponentiallyWeighted Moving Average

A New X-Bar Control Chart for Using Neutrosophic ExponentiallyWeighted Moving Average PDF

Author: Muhammad Aslam

Publisher: Infinite Study

Published:

Total Pages: 13

ISBN-13:

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The existing Shewhart X-bar control charts using the exponentially weighted moving average statistic are designed under the assumption that all observations are precise, determined, and known. In practice, it may be possible that the sample or the population observations are imprecise or fuzzy. In this paper, we present the designing of the X-bar control chart under the symmetry property of normal distribution using the neutrosophic exponentially weighted moving average statistics. We will first introduce the neutrosophic exponentially weighted moving average statistic, and then use it to design the X-bar control chart for monitoring the data under an uncertainty environment. We will determine the neutrosophic average run length using the neutrosophic Monte Carlo simulation. The eciency of the proposed plan will be compared with existing control charts.

Neutrosophic Sets and Systems, vol. 49/2022

Neutrosophic Sets and Systems, vol. 49/2022 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2022-04-01

Total Pages: 611

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

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 PDF

Author: Muhammad Aslam

Publisher: Infinite Study

Published:

Total Pages: 15

ISBN-13:

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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.

Neutrosophic Sets and Systems, vol. 48/2022

Neutrosophic Sets and Systems, vol. 48/2022 PDF

Author: Florentin Smarandache

Publisher: Infinite Study

Published: 2022-02-01

Total Pages: 496

ISBN-13:

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“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics PDF

Author: Florentin Smarandache

Publisher: Elsevier

Published: 2023-02-11

Total Pages: 495

ISBN-13: 0323994571

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Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics investigates and presents the many applications that have arisen in the last ten years using neutrosophic statistics in bioinformatics, medicine, agriculture and cognitive science. This book will be very useful to the scientific community, appealing to audiences interested in fuzzy, vague concepts from which uncertain data are collected, including academic researchers, practicing engineers and graduate students. Neutrosophic statistics is a generalization of classical statistics. In classical statistics, the data is known, formed by crisp numbers. In comparison, data in neutrosophic statistics has some indeterminacy. This data may be ambiguous, vague, imprecise, incomplete, and even unknown. Neutrosophic statistics refers to a set of data, such that the data or a part of it are indeterminate in some degree, and to methods used to analyze the data. Introduces the field of neutrosophic statistics and how it can solve problems working with indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data Presents various applications of neutrosophic statistics in the fields of bioinformatics, medicine, cognitive science and agriculture Provides practical examples and definitions of neutrosophic statistics in relation to the various types of indeterminacies

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