Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers

Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers
Author: W. B. Vasantha Kandasamy, Florentin Smarandache
Publisher: Infinite Study
Total Pages: 152
Release: 2012
Genre: Algebra
ISBN: 1599731797

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In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.

Innovative Uses of Matrices

Innovative Uses of Matrices
Author: W. B. Vasantha Kandasamy, Florentin Smarandache, Indra Venkatbabu
Publisher: Infinite Study
Total Pages: 229
Release: 2012
Genre:
ISBN: 1599732084

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Intelligent Transportation Related Complex Systems and Sensors

Intelligent Transportation Related Complex Systems and Sensors
Author: Kyandoghere Kyamakya
Publisher: MDPI
Total Pages: 494
Release: 2021-09-01
Genre: Technology & Engineering
ISBN: 3036508481

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Building around innovative services related to different modes of transport and traffic management, intelligent transport systems (ITS) are being widely adopted worldwide to improve the efficiency and safety of the transportation system. They enable users to be better informed and make safer, more coordinated, and smarter decisions on the use of transport networks. Current ITSs are complex systems, made up of several components/sub-systems characterized by time-dependent interactions among themselves. Some examples of these transportation-related complex systems include: road traffic sensors, autonomous/automated cars, smart cities, smart sensors, virtual sensors, traffic control systems, smart roads, logistics systems, smart mobility systems, and many others that are emerging from niche areas. The efficient operation of these complex systems requires: i) efficient solutions to the issues of sensors/actuators used to capture and control the physical parameters of these systems, as well as the quality of data collected from these systems; ii) tackling complexities using simulations and analytical modelling techniques; and iii) applying optimization techniques to improve the performance of these systems.

The Encyclopedia of Neutrosophic Researchers, 1st volume

The Encyclopedia of Neutrosophic Researchers, 1st volume
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 232
Release: 2016-11-12
Genre: Mathematics
ISBN: 1599734680

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This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The 78 authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements.

Study of Natural Class of Intervals Using (-∞, ∞) and (∞, -∞)

Study of Natural Class of Intervals Using (-∞, ∞) and (∞, -∞)
Author: W. B. Vasantha Kandasamy, Florentin Smarandache, D. Datta, H. S. Kushwaha, P. A. Jadhav
Publisher: Infinite Study
Total Pages: 183
Release: 2011
Genre: Mathematics
ISBN: 1599731681

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In this book the authors introduce and study the properties of natural class of intervals built using (-, ) and (, -). The operations on these matrices with entries from natural class of intervals behave like usual reals. So working with these interval matrices takes the same time as usual matrices. Hence, when applying them to fuzzy finite element methods or finite element methods the determination of solution is simple and time saving.

Bulletin of the Atomic Scientists

Bulletin of the Atomic Scientists
Author:
Publisher:
Total Pages: 88
Release: 1961-05
Genre:
ISBN:

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The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

A two level interval valued neutrosophic AHP integrated TOPSIS methodology for post-earthquake fire risk assessment: An application for Istanbul

A two level interval valued neutrosophic AHP integrated TOPSIS methodology for post-earthquake fire risk assessment: An application for Istanbul
Author: Pelin Gulum
Publisher: Infinite Study
Total Pages: 17
Release:
Genre: Mathematics
ISBN:

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Earthquakes are the leading natural disasters that seriously affect human life. Furthermore, earthquakes are natural disasters that have the ability to trigger a second disaster in addition to the damages they cause. From this point of view, post-earthquake fires are defined as the one of the most dangerous secondary disasters after an earthquake and often cause even more serious dangers. For this reason, government officials and relevant decision-makers should effectively determine post-earthquake fire risks and take necessary precautions. In this study, we consider the problem of determining the fire risk after an earthquake as a multi-criteria decision problem and present a two-level framework for risk assessment. The main and sub-criteria are determined by a detailed literature review and Modified Delphi method is employed to gain and consolidate expert opinions.

Introduction to Interval Analysis

Introduction to Interval Analysis
Author: Ramon E. Moore
Publisher: SIAM
Total Pages: 223
Release: 2009-01-01
Genre: Mathematics
ISBN: 089871771X

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An update on the author's previous books, this introduction to interval analysis provides an introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB.