Search results for ""author florentin smarandache""

Contributing to the fast-growing new field of neutrosophy, this book provides a significant collection of inedited articles covering the latest ongoing research area. Neutrosopy is above all a new view on modelling, tailored to effectively address the uncertainties inherent to the real world. In short, neutrosophy supersedes in logics the binary approach of true or false by introducing a third state: neutral, which can be also interpreted as indeterminate, uncertain and inconsistent. Development of neutrosophy, since its conception by Smarandache in 1988, has grown exponentially by conceptual extensions to logics, measure, sets, graphs, as well as practical applications in namely all fields. It can be thought of as a generalization of fuzzy logic and its variants like intuitionistic fuzzy logic. Registered in a wide collection of books on this promising field, here we deliver to researchers, lecturers and postgraduate students pursuing research on neutrosophic, a set of eighteen unreleased articles on state-of-the-art theoretical developments, applications and understanding of neutrosophy. This volume complements the reference works of the founder and extends the already numerous books of him and other researchers on the subject. This book starts by describing in an application major step for product acceptance determination using similarity measure index by applying neutrosophic statistics. In one of the latest major mathematics branches, graph theory, we provide an article on neutrosophic extension of graphs that we can call a neutrosophic graph. A reflection is given on the true nature of neutrosophy by exploring its link with learning such as by Artificial Neural Networks, including Deep Learning. Again in mathematics a discussion is made on the solving of system of linear equations in neutrosophic representation. We also go to the opposite end of the theory, down to the practical details of implementation of topology using the C# language. Neutrosophic probability is another big new research field. Here we give a study on the advantages of using neutrosophic variables. Other disciplines such as algebraic structures, topological spaces, and decision-making as well as problems in logistics and transport are covered by the remaining articles. Last but not least, a major paper is given, that concludes this short presentation of our book, " When Neutrosophic Theory Meets Three-Way Decisions ".

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Society forges ahead in the process of solving various contradictory problems and it is ceaselessly innovating. It is the desire of mankind to use computers and computing networks to help deal with contradictory problems and to conduct innovative activities. Using formal models to discuss object extension and the possibility of change, as well as the rules and methods for innovation, Extenics is applied to solving contradictory problems and has become the basic theory, method and instrument to achieve this goal. In the 30 years since the foundation of Extenics, researchers have built relatively complete theoretical systems —‘extension theory’, studied formal and modeling innovation methods —‘extension innovation methods’, and launched the applications in various fields such as information, design, automation and management etc. —‘extension engineering’. Extension theory, the extension innovation method and extension engineering jointly constitute the new discipline—Extenics. At the same time, the practical activities of engineering technology and management promote the integration of various innovation methods such as TRIZ and brainstorming etc. This book collects together, from scholars in various fields, the research achievements in Extenics and innovation methods, in order to facilitate and promote the development of Extenics and the various innovation theories and methods, as well as to improve its innovative capacity in academic and business circles.

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