A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4./5 ( download)

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Book Synopsis A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids by : Broumi Said

Download or read book A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids written by Broumi Said and published by Infinite Study. This book was released on with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distance measure is a numerical measurement of the distance between any two objects. The aim of this paper is to propose a new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids with graphical representation.

Neutrosophic Sets and Systems, Vol. 35, 2020

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 35, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 35, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 596 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. Some articles in this issue: Neutrosophic Soft Fixed Points, Selection of Alternative under the Framework of Single-Valued Neutrosophic Sets, Application of Single Valued Trapezoidal Neutrosophic Numbers in Transportation Problem.

Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 583 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 35, 2020. An International Book Series in Information Science and Engineering written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributors to current issue (listed in papers’ order): Ibrahim Yasser, Abeer Twakol, A. A. Abd El-Khalek, A. A. Salama, Ahmed Sharaf Al-Din, Issam Abu Al-Qasim, Rafif Alhabib, Magdy Badran, Remya P. B, Francina Shalini, Masoud Ghods, Zahra Rostami, A. Sahaya Sudha, Luiz Flavio Autran Monteiro Gomes, K.R. Vijayalakshmi, Prakasam Muralikrishna, Surya Manokaran, Nidhi Singh, Avishek Chakraborty, Soma Bose Biswas, Malini Majumdar, Rakhal Das, Binod Chandra Tripathy, Nidhi Singh, Avishek Chakraborty, Nilabhra Paul, Deepshikha Sarma, Akash Singh, Uttam Kumar Bera, Fatimah M. Mohammed, Sarah W. Raheem, Muhammad Riaz, Florentin Smarandache, Faruk Karaaslan, Masooma Raza Hashmi, Iqra Nawaz, Kousik Das, Sovan Samanta, Kajal De, Xavier Encarnacion, Nivetha Martin, I. Pradeepa, N. Ramila Gandhi, P. Pandiammal, Aiman Muzaffar, Md Tabrez Nafis, Shahab Saquib Sohail, Abhijit Saha, Jhulaneswar Baidya, Debjit Dutta, Irfan Deli, Said Broumi, Mohsin Khalid, Neha Andaleeb Khalid, Md. Hanif Page, Qays Hatem Imran, Shilpi Pal, S. Satham Hussain, Saeid Jafari, N. Durga, Hanieh Shambayati, Mohsen Shafiei Nikabadi, Seyed Mohammad, Ali Khatami Firouzabadi, Mohammad Rahmanimanesh, Mujahid Abbas, Ghulam Murtaza, K. Porselvi, B. Elavarasan, Y. B. Jun, Chinnadurai V, Sindhu M P, K.Radhika, K. Arun Prakash, Malayalan Lathamaheswari, Ruipu Tan, Deivanayagampillai Nagarajan, Talea Mohamed, Assia Bakali, Nivetha Martin, R. Dhavaseelan, Ali Hussein Mahmood Al-Obaidi, Suman Das, Surapati Pramanik, Madad Khan, Muhammad Zeeshan, Saima Anis, Abdul Sami Awan, M. Sarwar Sindhu, Tabasam Rashid, Agha Kashif, Rajesh Kumar Saini, Atul Sangal, Manisha.

Collected Papers. Volume XII

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 1006 pages
Book Rating : 4./5 ( download)

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Book Synopsis Collected Papers. Volume XII by : Florentin Smarandache

Download or read book Collected Papers. Volume XII written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-08-01 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt: This twelfth volume of Collected Papers includes 86 papers comprising 976 pages on Neutrosophics Theory and Applications, published between 2013-2021 in the international journal and book series “Neutrosophic Sets and Systems” by the author alone or in collaboration with the following 112 co-authors (alphabetically ordered) from 21 countries: Abdel Nasser H. Zaied, Muhammad Akram, Bobin Albert, S. A. Alblowi, S. Anitha, Guennoun Asmae, Assia Bakali, Ayman M. Manie, Abdul Sami Awan, Azeddine Elhassouny, Erick González-Caballero, D. Dafik, Mithun Datta, Arindam Dey, Mamouni Dhar, Christopher Dyer, Nur Ain Ebas, Mohamed Eisa, Ahmed K. Essa, Faruk Karaaslan, João Alcione Sganderla Figueiredo, Jorge Fernando Goyes García, N. Ramila Gandhi, Sudipta Gayen, Gustavo Alvarez Gómez, Sharon Dinarza Álvarez Gómez, Haitham A. El-Ghareeb, Hamiden Abd El-Wahed Khalifa, Masooma Raza Hashmi, Ibrahim M. Hezam, German Acurio Hidalgo, Le Hoang Son, R. Jahir Hussain, S. Satham Hussain, Ali Hussein Mahmood Al-Obaidi, Hays Hatem Imran, Nabeela Ishfaq, Saeid Jafari, R. Jansi, V. Jeyanthi, M. Jeyaraman, Sripati Jha, Jun Ye, W.B. Vasantha Kandasamy, Abdullah Kargın, J. Kavikumar, Kawther Fawzi Hamza Alhasan, Huda E. Khalid, Neha Andalleb Khalid, Mohsin Khalid, Madad Khan, D. Koley, Valeri Kroumov, Manoranjan Kumar Singh, Pavan Kumar, Prem Kumar Singh, Ranjan Kumar, Malayalan Lathamaheswari, A.N. Mangayarkkarasi, Carlos Rosero Martínez, Marvelio Alfaro Matos, Mai Mohamed, Nivetha Martin, Mohamed Abdel-Basset, Mohamed Talea, K. Mohana, Muhammad Irfan Ahamad, Rana Muhammad Zulqarnain, Muhammad Riaz, Muhammad Saeed, Muhammad Saqlain, Muhammad Shabir, Muhammad Zeeshan, Anjan Mukherjee, Mumtaz Ali, Deivanayagampillai Nagarajan, Iqra Nawaz, Munazza Naz, Roan Thi Ngan, Necati Olgun, Rodolfo González Ortega, P. Pandiammal, I. Pradeepa, R. Princy, Marcos David Oviedo Rodríguez, Jesús Estupiñán Ricardo, A. Rohini, Sabu Sebastian, Abhijit Saha, Mehmet Șahin, Said Broumi, Saima Anis, A.A. Salama, Ganeshsree Selvachandran, Seyed Ahmad Edalatpanah, Sajana Shaik, Soufiane Idbrahim, S. Sowndrarajan, Mohamed Talea, Ruipu Tan, Chalapathi Tekuri, Selçuk Topal, S. P. Tiwari, Vakkas Uluçay, Maikel Leyva Vázquez, Chinnadurai Veerappan, M. Venkatachalam, Luige Vlădăreanu, Ştefan Vlăduţescu, Young Bae Jun, Wadei F. Al-Omeri, Xiao Long Xin.

Neutrosophic Sets and Systems, Vol. 37, 2020. Special issue: Impact of neutrosophy in solving the Latin American's social problems

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 37, 2020. Special issue: Impact of neutrosophy in solving the Latin American's social problems by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 37, 2020. Special issue: Impact of neutrosophy in solving the Latin American's social problems written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this special issue is to divulge the applicability of the Neutrosophic Theory and to explore the possibilities and advantages of neutrosophic tools, through both the presentation of thorough research and case studies in solving social problems in Latin America. The best presentations discussed at the III International Congress of Educational Research and University Innovation, turned into papers, show us the capacity for socialization of neutrosophic knowledge and its link with this science of validation and consolidation of scientific knowledge. This publication with authors from 11 countries that we place in the hands of the international scientific community, constitutes an example of how in Latin America the Neutrosophy is contributing to complex solutions based on the results of scientific research carried out by teachers and students committed to the social responsibility of continuing to progress for the benefit of humanity.

Neutrosophic SuperHyperAlgebra and New Types of Topologies

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic SuperHyperAlgebra and New Types of Topologies by : Florentin Smarandache

Download or read book Neutrosophic SuperHyperAlgebra and New Types of Topologies written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-09-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.

Data-Driven Modelling with Fuzzy Sets

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Publisher : CRC Press
ISBN 13 : 1040043062
Total Pages : 348 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Data-Driven Modelling with Fuzzy Sets by : Said Broumi

Download or read book Data-Driven Modelling with Fuzzy Sets written by Said Broumi and published by CRC Press. This book was released on 2024-07-17 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zadeh introduced in 1965 the theory of fuzzy sets, in which truth values are modelled by numbers in the unit interval [0, 1], for tackling mathematically the frequently appearing in everyday life partial truths. In a second stage, when membership functions were reinterpreted as possibility distributions, fuzzy sets were extensively used to embrace uncertainty modelling. Uncertainty is defined as the shortage of precise knowledge or complete information and possibility theory is devoted to the handling of incomplete information. Zadeh articulated the relationship between possibility and probability, noticing that what is probable must preliminarily be possible. Following the Zadeh’s fuzzy set, various generalizations (intuitionistic, neutrosophic, rough, soft sets, etc.) have been introduced enabling a more effective management of all types of the existing in real world uncertainty. This book presents recent theoretical advances and applications of fuzzy sets and their extensions to Science, Humanities and Education. This book: Presents a qualitative assessment of big data in the education sector using linguistic Quadri partitioned single valued neutrosophic soft sets. Showcases application of n-cylindrical fuzzy neutrosophic sets in education using neutrosophic affinity degree and neutrosophic similarity Index. Covers scientific evaluation of student academic performance using single value neutrosophic Markov chain. Illustrates multi-granulation single-valued neutrosophic probabilistic rough sets for teamwork assessment. Examines estimation of distribution algorithm based on multiple attribute group decision-making to evaluate teaching quality. It is primarily written for Senior undergraduate and graduate students and academic researchers in the fields of electrical engineering, electronics and communication engineering, computer science and engineering.

Linking Neutrosophic AHP and Neutrosophic Social Choice Theory for Group Decision Making

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

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Book Synopsis Linking Neutrosophic AHP and Neutrosophic Social Choice Theory for Group Decision Making by : Sharon Dinarza Álvarez Gómez

Download or read book Linking Neutrosophic AHP and Neutrosophic Social Choice Theory for Group Decision Making written by Sharon Dinarza Álvarez Gómez and published by Infinite Study. This book was released on 2020-11-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic Hierarchy Process (AHP) is a decision-making technique that has been widely studied and developed by the scientific community. The interest in this tool is because it combines scientific rigor with the simplicity of its application. Additionally, it has been extended to uncertainty frameworks, such as fuzzy and neutrosophic frameworks. This paper aims to define a new method called NAHP+NSC, where the Neutrosophic Analytic Hierarchy Process (NAHP) is combined with the recently introduced Neutrosophic Social Choice (NSC) theory. Neutrosophy incorporates indeterminacy to both the AHP technique and the SC theory, which is an intrinsic condition of any decision-making process. On the other hand, it is possible to count on a group of experts to carry out the NAHP evaluations, where the chosen alternative is the one with the highest votes. Experts are divided into kind of homogeneous sub-groups called Interest Groups (IG), where each IG conjointly evaluates the proposed alternatives, and then tools of NSC are used for choosing the best alternative. The contribution of this new method is that evaluations and results are more accurate when indeterminacy is incorporated.

A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Numbers with Applications to Pattern Recognition

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4./5 ( download)

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Book Synopsis A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Numbers with Applications to Pattern Recognition by : Memet Sahin

Download or read book A New Similarity Measure Based on Falsity Value between Single Valued Neutrosophic Sets Based on the Centroid Points of Transformed Single Valued Neutrosophic Numbers with Applications to Pattern Recognition written by Memet Sahin and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose some transformations based on the centroid points between single valued neutrosophic numbers. We introduce these transformations according to truth, indeterminacy and falsity value of single valued neutrosophic numbers. We propose a new similarity measure based on falsity value between single valued neutrosophic sets.

Plithogenic sets and their application in decision making

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

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Book Synopsis Plithogenic sets and their application in decision making by : S. Gomathy

Download or read book Plithogenic sets and their application in decision making written by S. Gomathy and published by Infinite Study. This book was released on 2020-12-01 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper aims to test whether Plithogenic aggregation operation is more effective than other sets in its accuracy, while decision making. In order to obtain a better accuracy, the Plithogenic aggregation operation such as Fuzzy set [FS], Intuitionistic fuzzy set [IFS] and Neutrosophic set [NS] used tnorm and tconorm. An illustration is examined in this paper to prove the result of better accuracy using plithogenic aggregation operators in decision making.

Semantic Risk Analysis Based on Single-Valued Neutrosophic Sets

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

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Book Synopsis Semantic Risk Analysis Based on Single-Valued Neutrosophic Sets by : LINFENG GOU

Download or read book Semantic Risk Analysis Based on Single-Valued Neutrosophic Sets written by LINFENG GOU and published by Infinite Study. This book was released on with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy risk analysis is diffusely applied in risk assessment of components by the semantic model. Due to the fuzzy characteristic in the process of fuzzy risk analysis, analysis parameters are imprecise and vague. Therefore, the determination of the risk of failure is challenging part of fuzzy risk analysis with existing methods. Hence, in this paper, a semantic risk analysis method based on the technique for order performance by similarity to ideal solution (TOPSIS) under a single-valued neutrosophic set (SVNS) is presented. First, a ve-member linguistic term set is introduced and these linguistic terms are expressed in terms of the generalized trapezoidal fuzzy numbers. Then, the linguistic term is transformed into the SVNS and generated SVNS is fused by single-valued neutrosophic prioritized weighted average (SVNPWA) operator. On this basis, the TOPSIS approach is used to obtain the nal rank to ascertain future risk. Finally, a fuzzy risk analysis example is conducted to illustrate the effectiveness of the proposed method. Further, the out-performance of the proposed method is illustrated in comparisons to the existing methods.

Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making

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Publisher : Springer
ISBN 13 : 3030237567
Total Pages : 1392 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making by : Cengiz Kahraman

Download or read book Intelligent and Fuzzy Techniques in Big Data Analytics and Decision Making written by Cengiz Kahraman and published by Springer. This book was released on 2019-07-05 with total page 1392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes the proceedings of the Intelligent and Fuzzy Techniques INFUS 2019 Conference, held in Istanbul, Turkey, on July 23–25, 2019. Big data analytics refers to the strategy of analyzing large volumes of data, or big data, gathered from a wide variety of sources, including social networks, videos, digital images, sensors, and sales transaction records. Big data analytics allows data scientists and various other users to evaluate large volumes of transaction data and other data sources that traditional business systems would be unable to tackle. Data-driven and knowledge-driven approaches and techniques have been widely used in intelligent decision-making, and they are increasingly attracting attention due to their importance and effectiveness in addressing uncertainty and incompleteness. INFUS 2019 focused on intelligent and fuzzy systems with applications in big data analytics and decision-making, providing an international forum that brought together those actively involved in areas of interest to data science and knowledge engineering. These proceeding feature about 150 peer-reviewed papers from countries such as China, Iran, Turkey, Malaysia, India, USA, Spain, France, Poland, Mexico, Bulgaria, Algeria, Pakistan, Australia, Lebanon, and Czech Republic.

13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018

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Publisher : Springer
ISBN 13 : 3030041646
Total Pages : 970 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018 by : Rafik A. Aliev

Download or read book 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018 written by Rafik A. Aliev and published by Springer. This book was released on 2018-12-28 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 13th International Conference on Application of Fuzzy Systems and Soft Computing (ICAFS 2018), held in Warsaw, Poland on August 27–28, 2018. It includes contributions from diverse areas of soft computing such as uncertain computation, Z-information processing, neuro-fuzzy approaches, evolutionary computing and others. The topics of the papers include theory of uncertainty computation; theory and application of soft computing; decision theory with imperfect information; neuro-fuzzy technology; image processing with soft computing; intelligent control; machine learning; fuzzy logic in data analytics and data mining; evolutionary computing; chaotic systems; soft computing in business, economics and finance; fuzzy logic and soft computing in the earth sciences; fuzzy logic and soft computing in engineering; soft computing in medicine, biomedical engineering and the pharmaceutical sciences; and probabilistic and statistical reasoning in the social and educational sciences. The book covers new ideas from theoretical and practical perspectives in economics, business, industry, education, medicine, the earth sciences and other fields. In addition to promoting the development and application of soft computing methods in various real-life fields, it offers a useful guide for academics, practitioners, and graduates in fuzzy logic and soft computing fields.

Advances in Communication Systems and Networks

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Publisher : Springer Nature
ISBN 13 : 9811539928
Total Pages : 837 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Advances in Communication Systems and Networks by : J. Jayakumari

Download or read book Advances in Communication Systems and Networks written by J. Jayakumari and published by Springer Nature. This book was released on 2020-06-13 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the selected peer-reviewed papers from the International Conference on Communication Systems and Networks (ComNet) 2019. Highlighting the latest findings, ideas, developments and applications in all areas of advanced communication systems and networking, it covers a variety of topics, including next-generation wireless technologies such as 5G, new hardware platforms, antenna design, applications of artificial intelligence (AI), signal processing and optimization techniques. Given its scope, this book can be useful for beginners, researchers and professionals working in wireless communication and networks, and other allied fields.

Decision-making in a Fuzzy Environment

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Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Decision-making in a Fuzzy Environment by : Richard Bellman

Download or read book Decision-making in a Fuzzy Environment written by Richard Bellman and published by . This book was released on 1970 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Data Science, Cyber Security and IT Applications

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Publisher : Springer Nature
ISBN 13 : 3030363651
Total Pages : 343 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Advances in Data Science, Cyber Security and IT Applications by : Auhood Alfaries

Download or read book Advances in Data Science, Cyber Security and IT Applications written by Auhood Alfaries and published by Springer Nature. This book was released on 2019-12-20 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Conference on Intelligent Cloud Computing, ICC 2019, held in Riyadh, Saudi Arabia, in December 2019. The two-volume set presents 53 full papers, which were carefully reviewed and selected from 174 submissions. The papers are organized in topical sections on Cyber Security; Data Science; Information Technology and Applications; Network and IoT.

Advances in Type-2 Fuzzy Sets and Systems

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Publisher : Springer
ISBN 13 : 1461466660
Total Pages : 263 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Type-2 Fuzzy Sets and Systems by : Alireza Sadeghian

Download or read book Advances in Type-2 Fuzzy Sets and Systems written by Alireza Sadeghian and published by Springer. This book was released on 2013-06-25 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores recent developments in the theoretical foundations and novel applications of general and interval type-2 fuzzy sets and systems, including: algebraic properties of type-2 fuzzy sets, geometric-based definition of type-2 fuzzy set operators, generalizations of the continuous KM algorithm, adaptiveness and novelty of interval type-2 fuzzy logic controllers, relations between conceptual spaces and type-2 fuzzy sets, type-2 fuzzy logic systems versus perceptual computers; modeling human perception of real world concepts with type-2 fuzzy sets, different methods for generating membership functions of interval and general type-2 fuzzy sets, and applications of interval type-2 fuzzy sets to control, machine tooling, image processing and diet. The applications demonstrate the appropriateness of using type-2 fuzzy sets and systems in real world problems that are characterized by different degrees of uncertainty.