Dsm Vector Spaces Of Refined Labels
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Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 299 |
Release | : 2012-01-03 |
Genre | : Mathematics |
ISBN | : 1599731673 |
The authors in this book introduce the notion of DSm Super Vector Space of Refined Labels. The notion of DSm semi super vector space is also introduced. Several interesting properties are derived. We have suggested over 100 problems, some of which are research problems.
Author | : W. B. Vasantha Kandasamy |
Publisher | : |
Total Pages | : 214 |
Release | : 2011 |
Genre | : Algebras, Linear |
ISBN | : 9781461914112 |
Author | : W. B. Vasantha Kandasamy, Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 216 |
Release | : |
Genre | : |
ISBN | : 1599731614 |
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 11 |
Release | : |
Genre | : |
ISBN | : |
This chapter presents the DSm Field and Linear Algebra of Refined Labels (FLARL) in DSmT framework in order to work precisely with qualitative labels for information fusion. We present and justify the basic operators on qualitative labels (addition, subtraction, multiplication, division, root, power, etc).
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 8 |
Release | : |
Genre | : |
ISBN | : |
This paper introduces the DezertSmarandache (DSm) Field and Linear Algebra of Refined Labels (FLARL) useful for dealing accurately with qualitative information expressed in terms of qualitative belief functions.
Author | : W. B. Vasantha Kandasamy, Florentin Smarandache, Indra Venkatbabu |
Publisher | : Infinite Study |
Total Pages | : 229 |
Release | : 2012 |
Genre | : |
ISBN | : 1599732084 |
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 760 |
Release | : 2004 |
Genre | : Science |
ISBN | : 1599730731 |
This volume has about 760 pages, split into 25 chapters, from 41 contributors. First part of this book presents advances of Dezert-Smarandache Theory (DSmT) which is becoming one of the most comprehensive and flexible fusion theory based on belief functions. It can work in all fusion spaces: power set, hyper-power set, and super-power set, and has various fusion and conditioning rules that can be applied depending on each application. Some new generalized rules are introduced in this volume with codes for implementing some of them. For the qualitative fusion, the DSm Field and Linear Algebra of Refined Labels (FLARL) is proposed which can convert any numerical fusion rule to a qualitative fusion rule. When one needs to work on a refined frame of discernment, the refinement is done using Smarandache¿s algebraic codification. New interpretations and implementations of the fusion rules based on sampling techniques and referee functions are proposed, including the probabilistic proportional conflict redistribution rule. A new probabilistic transformation of mass of belief is also presented which outperforms the classical pignistic transformation in term of probabilistic information content. The second part of the book presents applications of DSmT in target tracking, in satellite image fusion, in snow-avalanche risk assessment, in multi-biometric match score fusion, in assessment of an attribute information retrieved based on the sensor data or human originated information, in sensor management, in automatic goal allocation for a planetary rover, in computer-aided medical diagnosis, in multiple camera fusion for tracking objects on ground plane, in object identification, in fusion of Electronic Support Measures allegiance report, in map regenerating forest stands, etc.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 232 |
Release | : 2016-11-12 |
Genre | : Mathematics |
ISBN | : 1599734680 |
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.
Author | : Florentin Smarandache, Jean Dezert |
Publisher | : Infinite Study |
Total Pages | : 506 |
Release | : 2015-03-01 |
Genre | : |
ISBN | : 1599733242 |
The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions (see List of Articles published in this book, at the end of the volume) have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) ininternational conferences, seminars, workshops and journals.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 506 |
Release | : 2015-07-01 |
Genre | : Mathematics |
ISBN | : |
The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) in international conferences, seminars, workshops and journals.