Set Theory And Its Applications

Author by : Juris Steprans
Languange : en
Publisher by : Berlin : Springer-Verlag
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Description : The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology. These proceedings contain a selection of the resulting papers, mostly announcing new unpublished results.


Fuzzy Set Theory And Its Applications

Author by : Hans-Jürgen Zimmermann
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 59
Total Download : 394
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Description : Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. All chapters have been updated. Exercises are included.


Fuzzy Set Theory And Its Applications

Author by : Hans-Jürgen Zimmermann
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 66
Total Download : 357
File Size : 47,7 Mb
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Description : Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others. Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction. This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.


Set Theory With Applications

Author by : Shwu-Yeng T. Lin
Languange : en
Publisher by : Mancorp Pub
Format Available : PDF, ePub, Mobi
Total Read : 83
Total Download : 349
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Description :


Fuzzy Set Theory And Its Applications

Author by : Hans-Jürgen Zimmermann
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 14
Total Download : 262
File Size : 47,9 Mb
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Description :


Set Theory And Its Applications

Author by : Juris Steprans
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 22
Total Download : 860
File Size : 53,5 Mb
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Description : The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology. These proceedings contain a selection of the resulting papers, mostly announcing new unpublished results.


Vague Valued Possibility Neutrosophic Vague Soft Expert Set Theory And Its Applications

Author by : Anjan Mukherjee
Languange : en
Publisher by : Infinite Study
Format Available : PDF, ePub, Mobi
Total Read : 30
Total Download : 236
File Size : 48,5 Mb
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Description : In this paper, we first propose the concept of Vague-valued possibility Neutrosophic vague soft expert sets (VPNVSEsets in short). It is a combination of vague-valued possibility neutrosophic vague sets and soft expert sets. We also define its basic operations and study some related properties. Lastly an algorithm is proposed applied to the concept of vague-valued possibility Neutrosophic vague soft expert sets in hypothetical decision making problem. Here we associate the degree of belongingness degree of indeterminacy and non-belongingness of the elements of universe set with the vague –valued possibility set.


Set Theory And Its Applications

Author by : Liljana Babinkostova
Languange : en
Publisher by : American Mathematical Soc.
Format Available : PDF, ePub, Mobi
Total Read : 53
Total Download : 355
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Description : This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.


Axiomatic Fuzzy Set Theory And Its Applications

Author by : Xiaodong Liu
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 63
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Description : It is well known that “fuzziness”—informationgranulesand fuzzy sets as one of its formal manifestations— is one of important characteristics of human cognitionandcomprehensionofreality. Fuzzy phenomena existinnature and are encountered quite vividly within human society. The notion of a fuzzy set has been introduced by L. A. , Zadeh in 1965 in order to formalize human concepts, in connection with the representation of human natural language and computing with words. Fuzzy sets and fuzzy logic are used for mod- ing imprecise modes of reasoning that play a pivotal role in the remarkable human abilities to make rational decisions in an environment a?ected by - certainty and imprecision. A growing number of applications of fuzzy sets originated from the “empirical-semantic” approach. From this perspective, we were focused on some practical interpretations of fuzzy sets rather than being oriented towards investigations of the underlying mathematical str- tures of fuzzy sets themselves. For instance, in the context of control theory where fuzzy sets have played an interesting and practically relevant function, the practical facet of fuzzy sets has been stressed quite signi?cantly. However, fuzzy sets can be sought as an abstract concept with all formal underpinnings stemming from this more formal perspective. In the context of applications, it is worth underlying that membership functions do not convey the same meaning at the operational level when being cast in various contexts.


Rough Set Theory And Granular Computing

Author by : Masahiro Inuiguchi
Languange : en
Publisher by : Springer
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Total Read : 51
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Description : After 20 years of pursuing rough set theory and its applications a look on its present state and further prospects is badly needed. The monograph Rough Set Theory and Granular Computing edited by Masahiro Inuiguchi, Shoji Hirano and Shusaku Tsumoto meets this demand. It presents the newest developments in this area and gives fair picture of the state of the art in this domain. Firstly, in the keynote papers by Zdzislaw Pawlak, Andrzej Skowron and Sankar K. Pal the relationship of rough sets with other important methods of data analysis -Bayes theorem, neuro computing and pattern recognitio- is thoroughly examined. Next, several interesting generalizations of the the ory and new directions of research are presented. Furthermore application of rough sets in data mining, in particular, rule induction methods based on rough set theory is presented and discussed. Further important issue dis cussed in the monograph is rough set based data analysis, including study of decisions making in conflict situations. Last but not least, some recent engi neering applications of rough set theory are given. They include a proposal of rough set processor architecture organization for fast implementation of ba sic rough set operations and discussion of results concerning advanced image processing for unmanned aerial vehicle. Thus the monograph beside presenting wide spectrum of ongoing research in this area also points out new emerging areas of study and applications, which makes it a valuable source of information to all interested in this do main.


Fuzzy Set Theory

Author by : R. Lowen
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 20
Total Download : 747
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Description : The purpose of this book is to provide the reader who is interested in applications of fuzzy set theory, in the first place with a text to which he or she can refer for the basic theoretical ideas, concepts and techniques in this field and in the second place with a vast and up to date account of the literature. Although there are now many books about fuzzy set theory, and mainly about its applications, e. g. in control theory, there is not really a book available which introduces the elementary theory of fuzzy sets, in what I would like to call "a good degree of generality". To write a book which would treat the entire range of results concerning the basic theoretical concepts in great detail and which would also deal with all possible variants and alternatives of the theory, such as e. g. rough sets and L-fuzzy sets for arbitrary lattices L, with the possibility-probability theories and interpretations, with the foundation of fuzzy set theory via multi-valued logic or via categorical methods and so on, would have been an altogether different project. This book is far more modest in its mathematical content and in its scope.


Interval Valued Q Fuzzy Multiparameterized Soft Set And Its Application

Author by : Fatma Adam
Languange : en
Publisher by : Infinite Study
Format Available : PDF, ePub, Mobi
Total Read : 96
Total Download : 677
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Description : Molodtsov’s soft set theory is a newly emerging mathematical tool for handling uncertainty. However, classical multiparameterized soft sets are not appropriate for imprecise and Q-fuzzy parameters.


Applications Of Point Set Theory In Real Analysis

Author by : A.B. Kharazishvili
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 99
Total Download : 720
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Description : This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line. Notice that various topics from this theory are presented in several books and surveys. From among the most important works devoted to Point Set Theory, let us first of all mention the excellent book by Oxtoby [83] in which a deep analogy between measure and category is discussed in detail. Further, an interesting general approach to problems concerning measure and category is developed in the well-known monograph by Morgan [79] where a fundamental concept of a category base is introduced and investigated. We also wish to mention that the monograph by Cichon, W«;glorz and the author [19] has recently been published. In that book, certain classes of subsets of the real line are studied and various cardinal valued functions (characteristics) closely connected with those classes are investigated. Obviously, the IT-ideal of all Lebesgue measure zero subsets of the real line and the IT-ideal of all first category subsets of the same line are extensively studied in [19], and several relatively new results concerning this topic are presented. Finally, it is reasonable to notice here that some special sets of points, the so-called singular spaces, are considered in the classi


Handbook Of Research On Fuzzy And Rough Set Theory In Organizational Decision Making

Author by : Sangaiah, Arun Kumar
Languange : en
Publisher by : IGI Global
Format Available : PDF, ePub, Mobi
Total Read : 67
Total Download : 625
File Size : 53,9 Mb
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Description : Soft computing techniques are innovative tools that use nature-inspired algorithms to run predictive analysis of industries from business to software measurement. These tools have gained momentum in recent years for their practicality and flexibility. The Handbook of Research on Fuzzy and Rough Set Theory in Organizational Decision Making collects both empirical and applied research in the field of fuzzy set theory, and bridges the gap between the application of soft computational approaches and the organizational decision making process. This publication is a pivotal reference for business professionals, IT specialists, software engineers, and advanced students of business and information technology.


Neutrosophic Vague Soft Expert Set Theory

Author by : Ashraf Al-Quran
Languange : en
Publisher by : Infinite Study
Format Available : PDF, ePub, Mobi
Total Read : 16
Total Download : 962
File Size : 45,6 Mb
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Description : In this paper, we first introduce the concept of neutrosophic vague soft expert sets (NVSESs for short) which combines neutrosophic vague sets and soft expert sets to be more effective and useful. We also define its basic operations, namely complement, union, intersection, AND and OR along with illustrative examples, and study some related properties with supporting proofs. Lastly, this concept is applied to a decision making problem and its effectiveness is demonstrated using a hypothetical example.


Model Theory And Its Applications

Author by : Ralph Kopperman
Languange : en
Publisher by : Unknown
Format Available : PDF, ePub, Mobi
Total Read : 31
Total Download : 370
File Size : 45,7 Mb
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Description : In order to understand many of the proofs in this text the reader should have a one-semester background in set theory, including discussions of ordinal numbers, general a Cartesian products, cardinal arithmetic, and several forms of the axiom choice.


Similarity And Compatibility In Fuzzy Set Theory

Author by : Valerie V. Cross
Languange : en
Publisher by : Physica
Format Available : PDF, ePub, Mobi
Total Read : 97
Total Download : 720
File Size : 50,5 Mb
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Description : Assessing the degree to which two objects, an object and a query, or two concepts are similar or compatible is a fundamental component of human reasoning and consequently is critical in the development of automated diagnosis, classification, information retrieval and decision systems. The assessment of similarity has played an important role in such diverse disciplines such as taxonomy, psychology, and the social sciences. Each discipline has proposed methods for quantifying similarity judgments suitable for its particular applications. This book presents a unified approach to quantifying similarity and compatibility within the framework of fuzzy set theory and examines the primary importance of these concepts in approximate reasoning. Examples of the application of similarity measures in various areas including expert systems, information retrieval, and intelligent database systems are provided.


New Trends In Fuzzy Set Theory And Related Items

Author by : Esteban Indurain
Languange : en
Publisher by : MDPI
Format Available : PDF, ePub, Mobi
Total Read : 24
Total Download : 638
File Size : 52,6 Mb
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Description : This book is a printed edition of the Special Issue "New Trends in Fuzzy Set Theory and Related Items" that was published in Axioms


Set Theory

Author by : Tomek Bartoszynski
Languange : en
Publisher by : CRC Press
Format Available : PDF, ePub, Mobi
Total Read : 62
Total Download : 949
File Size : 52,8 Mb
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Description : This research level monograph reflects the current state of the field and provides a reference for graduate students entering the field as well as for established researchers.


Topics In Rough Set Theory

Author by : Seiki Akama
Languange : en
Publisher by : Springer Nature
Format Available : PDF, ePub, Mobi
Total Read : 41
Total Download : 659
File Size : 46,7 Mb
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Description : This book discusses current topics in rough set theory. Since Pawlak’s rough set theory was first proposed to offer a basis for imprecise and uncertain data and reasoning from data, many workers have investigated its foundations and applications. Examining various topical issues, including object-oriented rough set models, recommendation systems, decision tables, and granular computing, the book is a valuable resource for students and researchers in the field.


Neutrosophic Sets And Systems Vol 10 2015

Author by : J. J. Peng
Languange : en
Publisher by : Infinite Study
Format Available : PDF, ePub, Mobi
Total Read : 77
Total Download : 200
File Size : 52,9 Mb
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Description : “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.


Incomplete Information System And Rough Set Theory

Author by : Xibei Yang
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 78
Total Download : 405
File Size : 54,6 Mb
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Description : "Incomplete Information System and Rough Set Theory: Models and Attribute Reductions" covers theoretical study of generalizations of rough set model in various incomplete information systems. It discusses not only the regular attributes but also the criteria in the incomplete information systems. Based on different types of rough set models, the book presents the practical approaches to compute several reducts in terms of these models. The book is intended for researchers and postgraduate students in machine learning, data mining and knowledge discovery, especially for those who are working in rough set theory, and granular computing. Dr. Xibei Yang is a lecturer at the School of Computer Science and Engineering, Jiangsu University of Science and Technology, China; Jingyu Yang is a professor at the School of Computer Science, Nanjing University of Science and Technology, China.


First Course On Fuzzy Theory And Applications

Author by : Kwang Hyung Lee
Languange : en
Publisher by : Springer Science & Business Media
Format Available : PDF, ePub, Mobi
Total Read : 62
Total Download : 782
File Size : 43,9 Mb
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Description : Fuzzy theory has become a subject that generates much interest among the courses for graduate students. However, it was not easy to find a suitable textbook to use in the introductory course and to recommend to the students who want to self-study. The main purpose of this book is just to meet that need. The author has given lectures on the fuzzy theory and its applications for ten years and continuously developed lecture notes on the subject. This book is a publication of the modification and summary of the lecture notes. The fundamental idea of the book is to provide basic and concrete concepts of the fuzzy theory and its applications, and thus the author focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand and also added exercises at the end of each chapter. This book consists of two parts: a theory part and an application part. The first part (theory part) includes chapters from 1 to 8. Chapters 1 and 2 introduce basic concepts of fuzzy sets and operations, and Chapters 3 and 4 deal with the multi-dimensional fuzzy sets. Chapters 5 and 6 are extensions of the fuzzy theory to the number and function, and Chapters 7 and 8 are developments of fuzzy properties on the probability and logic theories.


Fuzzy Geometric Programming Techniques And Applications

Author by : Sahidul Islam
Languange : en
Publisher by : Springer
Format Available : PDF, ePub, Mobi
Total Read : 86
Total Download : 946
File Size : 40,9 Mb
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Description : This book develops the concepts of various unique optimization techniques in the crisp and fuzzy environment. It provides an extensive overview of geometric programming methods within a unifying framework, and presents an in-depth discussion of the modified geometric programming problem, fuzzy geometric programming, as well as new insights into goal geometric programming. With numerous examples and exercises together with detailed solutions for several problems, the book also addresses fuzzy multi-objective geometric programming techniques. Geometric programming, which falls into the general class of signomial problems, has applications across disciplines, from engineering to economics, and is extremely useful in applications of a variety of optimization problems. Organized into thirteen chapters, this book is a valuable resource for graduate and advanced undergraduate students and researchers in applied mathematics and engineering.


Neutrosophic Sets And Systems Vol 32 2020

Author by : Florentin Smarandache
Languange : en
Publisher by : Infinite Study
Format Available : PDF, ePub, Mobi
Total Read : 19
Total Download : 885
File Size : 41,5 Mb
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Description : “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. Some articles in this issue: Parameter Reduction of Neutrosophic Soft Sets and Their Applications, Geometric Programming (NGP) Problems Subject to (⋁,.) Operator; the Minimum Solution, Ngpr Homeomorphism in Neutrosophic Topological Spaces, Generalized Neutrosophic Separation Axioms in Neutrosophic Soft Topological Spaces.


Introduction To Set Theory And Topology

Author by : Kazimierz Kuratowski
Languange : en
Publisher by : Elsevier
Format Available : PDF, ePub, Mobi
Total Read : 84
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File Size : 41,9 Mb
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Description : Introduction to Set Theory and Topology describes the fundamental concepts of set theory and topology as well as its applicability to analysis, geometry, and other branches of mathematics, including algebra and probability theory. Concepts such as inverse limit, lattice, ideal, filter, commutative diagram, quotient-spaces, completely regular spaces, quasicomponents, and cartesian products of topological spaces are considered. This volume consists of 21 chapters organized into two sections and begins with an introduction to set theory, with emphasis on the propositional calculus and its application to propositions each having one of two logical values, 0 and 1. Operations on sets which are analogous to arithmetic operations are also discussed. The chapters that follow focus on the mapping concept, the power of a set, operations on cardinal numbers, order relations, and well ordering. The section on topology explores metric and topological spaces, continuous mappings, cartesian products, and other spaces such as spaces with a countable base, complete spaces, compact spaces, and connected spaces. The concept of dimension, simplexes and their properties, and cuttings of the plane are also analyzed. This book is intended for students and teachers of mathematics.


Smart Computing Applications In Crowdfunding

Author by : Bo Xing
Languange : en
Publisher by : CRC Press
Format Available : PDF, ePub, Mobi
Total Read : 56
Total Download : 440
File Size : 44,9 Mb
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Description : The book focuses on smart computing for crowdfunding usage, looking at the crowdfunding landscape, e.g., reward-, donation-, equity-, P2P-based and the crowdfunding ecosystem, e.g., regulator, asker, backer, investor, and operator. The increased complexity of fund raising scenario, driven by the broad economic environment as well as the need for using alternative funding sources, has sparked research in smart computing techniques. Covering a wide range of detailed topics, the authors of this book offer an outstanding overview of the current state of the art; providing deep insights into smart computing methods, tools, and their applications in crowdfunding; exploring the importance of smart analysis, prediction, and decision-making within the fintech industry. This book is intended to be an authoritative and valuable resource for professional practitioners and researchers alike, as well as finance engineering, and computer science students who are interested in crowdfunding and other emerging fintech topics.


Basic Set Theory

Author by : Azriel Levy
Languange : en
Publisher by : Courier Corporation
Format Available : PDF, ePub, Mobi
Total Read : 16
Total Download : 574
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Description : The first part of this advanced-level text covers pure set theory, and the second deals with applications and advanced topics (point set topology, real spaces, Boolean algebras, infinite combinatorics and large cardinals). 1979 edition.


Neutrosophic Sets And Systems Book Series Vol 33 2020 An International Book Series In Information Science And Engineering

Author by : Florentin Smarandache
Languange : en
Publisher by : Infinite Study
Format Available : PDF, ePub, Mobi
Total Read : 51
Total Download : 513
File Size : 55,7 Mb
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Description : Contributors to current issue (listed in papers’ order): Atena Tahmasbpour Meikola, Arif Mehmood, Wadood Ullah, Said Broumi, Muhammad Imran Khan, Humera Qureshi, Muhammad Ibrar Abbas, Humaira Kalsoom, Fawad Nadeem, T. Chalapathi, L. Madhavi, R. Suresh, S. Palaniammal, Nivetha Martin, Florentin Smarandache, S. A. Edalatpanah, Rafif Alhabib, A. A. Salama, Memet Şahin, Abdullah Kargın, Murat Yücel, Dimacha Dwibrang Mwchahary, Bhimraj Basumatary, R. S. Alghamdi, N. O. Alshehri, Shigui Du, Rui Yong, Jun Ye, Vasantha Kandasamy, Ilanthenral Kandasamy, Muhammad Saeed, Muhammad Saqlain, Asad Mehmood, Khushbakht Naseer, Sonia Yaqoob, Sudipta Gayen, Sripati Jha, Manoranjan Kumar Singh, Ranjan Kumar, Huseyin Kamaci, Shawkat Alkhazaleh, Anas Al-Masarwah, Abd Ghafur Ahmad, Merve Sena Uz, Akbar Rezaei, Mohamed Grida, Rehab Mohamed, Abdelnaser H. Zaid.