Moving average control chart under neutrosophic statistics

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Moving average control chart under neutrosophic statistics by : Muhammad Aslam

Download or read book Moving average control chart under neutrosophic statistics written by Muhammad Aslam and published by Infinite Study. This book was released on 2022-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuous monitoring and improving the production process is a crucial step for the entrepreneur to maintain its position in the market. A successful process monitoring scheme depends upon the specification of the quality being monitored. In this paper, the monitoring of temperature is addressed using the specification of moving average under uncertainty. We determined the coefficients of the proposed chart utilizing the Monte Carlo simulation for a different measure of indeterminacy. The efficiency of the proposed chart has been evaluated by determining the average run lengths using several shift values. A real example of weather-related situation is studied for the practical adoption of the given technique. A comparison study shows that the proposed chart outperforms the existing chart in monitoring temperature-related data.

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

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis A New X-Bar Control Chart for Using Neutrosophic ExponentiallyWeighted Moving Average by : Muhammad Aslam

Download or read book A New X-Bar Control Chart for Using Neutrosophic ExponentiallyWeighted Moving Average written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Attribute Control Chart Using the Repetitive Sampling under Neutrosophic System

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Attribute Control Chart Using the Repetitive Sampling under Neutrosophic System by : Muhammad Aslam

Download or read book Attribute Control Chart Using the Repetitive Sampling under Neutrosophic System written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis A New X-Bar Control Chart for Using Neutrosophic ExponentiallyWeighted Moving Average by : Muhammad Aslam

Download or read book A New X-Bar Control Chart for Using Neutrosophic ExponentiallyWeighted Moving Average written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Monitoring the temperature through moving average control under uncertainty environment

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis Monitoring the temperature through moving average control under uncertainty environment by : Muhammad Aslam

Download or read book Monitoring the temperature through moving average control under uncertainty environment written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existing moving average control charts can be only applied when all observations in the data are determined, precise, and certain. But, in practice, the data from the weather monitoring is not exact and express in the interval. In this situation, the available monitoring plans cannot be applied for the monitoring of weather data.

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

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Control Chart for Variance Using Repetitive Sampling Under Neutrosophic Statistical Interval System by : Muhammad Aslam

Download or read book Control Chart for Variance Using Repetitive Sampling Under Neutrosophic Statistical Interval System written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Design of 𝑺𝑵 𝟐 − 𝑵𝑬𝑾𝑴𝑨 Control Chart for Monitoring Process having Indeterminate Production Data by : Muhammad Aslam

Download or read book Design of 𝑺𝑵 𝟐 − 𝑵𝑬𝑾𝑴𝑨 Control Chart for Monitoring Process having Indeterminate Production Data written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis Design of X-Bar Control Chart for Resampling Under Uncertainty Environment by : MUHAMMAD ASLAM

Download or read book Design of X-Bar Control Chart for Resampling Under Uncertainty Environment written by MUHAMMAD ASLAM and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics

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Publisher : Elsevier
ISBN 13 : 0323994571
Total Pages : 495 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics by : Florentin Smarandache

Download or read book Cognitive Intelligence with Neutrosophic Statistics in Bioinformatics written by Florentin Smarandache and published by Elsevier. This book was released on 2023-02-11 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Introduction to Neutrosophic Statistics

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Publisher : Infinite Study
ISBN 13 : 1599732742
Total Pages : 125 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Introduction to Neutrosophic Statistics by : Florentin Smarandache

Download or read book Introduction to Neutrosophic Statistics written by Florentin Smarandache and published by Infinite Study. This book was released on 2014 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate because of some individuals that partially belong to the population or sample, and partially they do not belong, or individuals whose appurtenance is completely unknown. Also, there are population or sample individuals whose data could be indeterminate. In this book, we develop the 1995 notion of neutrosophic statistics. We present various practical examples. It is possible to define the neutrosophic statistics in many ways, because there are various types of indeterminacies, depending on the problem to solve.

Neutrosophic Sets and Systems, vol. 51/2022

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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 a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Design of a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment by : Muhammad Aslam

Download or read book Design of a Control Chart Based on COM-Poisson Distribution for the Uncertainty Environment written by Muhammad Aslam and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme by : Abdullah M. Almarashi

Download or read book Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme written by Abdullah M. Almarashi and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, a repetitive sampling control chart for the gamma distribution under the indeterminate environment has been presented. The control chart coefficients, probability of in-control, probability of out-of-control, and average run lengths have been determined under the assumption of the symmetrical property of the normal distribution using the neutrosophic interval method.

Advances in Condition Monitoring, Optimization and Control for Complex Industrial Processes

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Publisher : MDPI
ISBN 13 : 3036506888
Total Pages : 514 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Advances in Condition Monitoring, Optimization and Control for Complex Industrial Processes by : Zhiwei Gao

Download or read book Advances in Condition Monitoring, Optimization and Control for Complex Industrial Processes written by Zhiwei Gao and published by MDPI. This book was released on 2021-09-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book documents 25 papers collected from the Special Issue “Advances in Condition Monitoring, Optimization and Control for Complex Industrial Processes”, highlighting recent research trends in complex industrial processes. The book aims to stimulate the research field and be of benefit to readers from both academic institutes and industrial sectors.

Collected Papers. Volume XIII

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 999 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume XIII by : Florentin Smarandache

Download or read book Collected Papers. Volume XIII written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-15 with total page 999 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thirteenth volume of Collected Papers is an eclectic tome of 88 papers in various fields of sciences, such as astronomy, biology, calculus, economics, education and administration, game theory, geometry, graph theory, information fusion, decision making, instantaneous physics, quantum physics, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, scientific research methods, statistics, and others, structured in 17 chapters (Neutrosophic Theory and Applications; Neutrosophic Algebra; Fuzzy Soft Sets; Neutrosophic Sets; Hypersoft Sets; Neutrosophic Semigroups; Neutrosophic Graphs; Superhypergraphs; Plithogeny; Information Fusion; Statistics; Decision Making; Extenics; Instantaneous Physics; Paradoxism; Mathematica; Miscellanea), comprising 965 pages, published between 2005-2022 in different scientific journals, by the author alone or in collaboration with the following 110 co-authors (alphabetically ordered) from 26 countries: Abduallah Gamal, Sania Afzal, Firoz Ahmad, Muhammad Akram, Sheriful Alam, Ali Hamza, Ali H. M. Al-Obaidi, Madeleine Al-Tahan, Assia Bakali, Atiqe Ur Rahman, Sukanto Bhattacharya, Bilal Hadjadji, Robert N. Boyd, Willem K.M. Brauers, Umit Cali, Youcef Chibani, Victor Christianto, Chunxin Bo, Shyamal Dalapati, Mario Dalcín, Arup Kumar Das, Elham Davneshvar, Bijan Davvaz, Irfan Deli, Muhammet Deveci, Mamouni Dhar, R. Dhavaseelan, Balasubramanian Elavarasan, Sara Farooq, Haipeng Wang, Ugur Halden, Le Hoang Son, Hongnian Yu, Qays Hatem Imran, Mayas Ismail, Saeid Jafari, Jun Ye, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Darjan Karabašević, Abdullah Kargın, Vasilios N. Katsikis, Nour Eldeen M. Khalifa, Madad Khan, M. Khoshnevisan, Tapan Kumar Roy, Pinaki Majumdar, Sreepurna Malakar, Masoud Ghods, Minghao Hu, Mingming Chen, Mohamed Abdel-Basset, Mohamed Talea, Mohammad Hamidi, Mohamed Loey, Mihnea Alexandru Moisescu, Muhammad Ihsan, Muhammad Saeed, Muhammad Shabir, Mumtaz Ali, Muzzamal Sitara, Nassim Abbas, Munazza Naz, Giorgio Nordo, Mani Parimala, Ion Pătrașcu, Gabrijela Popović, K. Porselvi, Surapati Pramanik, D. Preethi, Qiang Guo, Riad K. Al-Hamido, Zahra Rostami, Said Broumi, Saima Anis, Muzafer Saračević, Ganeshsree Selvachandran, Selvaraj Ganesan, Shammya Shananda Saha, Marayanagaraj Shanmugapriya, Songtao Shao, Sori Tjandrah Simbolon, Florentin Smarandache, Predrag S. Stanimirović, Dragiša Stanujkić, Raman Sundareswaran, Mehmet Șahin, Ovidiu-Ilie Șandru, Abdulkadir Șengür, Mohamed Talea, Ferhat Taș, Selçuk Topal, Alptekin Ulutaș, Ramalingam Udhayakumar, Yunita Umniyati, J. Vimala, Luige Vlădăreanu, Ştefan Vlăduţescu, Yaman Akbulut, Yanhui Guo, Yong Deng, You He, Young Bae Jun, Wangtao Yuan, Rong Xia, Xiaohong Zhang, Edmundas Kazimieras Zavadskas, Zayen Azzouz Omar, Xiaohong Zhang, Zhirou Ma.

Introduction to Statistical Process Control

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Publisher : John Wiley & Sons
ISBN 13 : 1119528445
Total Pages : 304 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Introduction to Statistical Process Control by : Muhammad Aslam

Download or read book Introduction to Statistical Process Control written by Muhammad Aslam and published by John Wiley & Sons. This book was released on 2020-08-19 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to the Fundamentals and History of Control Charts, Applications, and Guidelines for Implementation Introduction to Statistical Process Control examines various types of control charts that are typically used by engineering students and practitioners. This book helps readers develop a better understanding of the history, implementation, and use-cases. Students are presented with varying control chart techniques, information, and roadmaps to ensure their control charts are operating efficiently and producing specification-confirming products. This is the essential text on the theories and applications behind statistical methods and control procedures. This eight-chapter reference breaks information down into digestible sections and covers topics including: ● An introduction to the basics as well as a background of control charts ● Widely used and newly researched attributes of control charts, including guidelines for implementation ● The process capability index for both normal and non-normal distribution via the sampling of multiple dependent states ● An overview of attribute control charts based on memory statistics ● The development of control charts using EQMA statistics For a solid understanding of control methodologies and the basics of quality assurance, Introduction to Statistical Process Control is a definitive reference designed to be read by practitioners and students alike. It is an essential textbook for those who want to explore quality control and systems design.

Collected Papers. Volume XIV

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume XIV by : Florentin Smarandache

Download or read book Collected Papers. Volume XIV written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-11-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.