Evidence Supporting Measure Of Similarity For Reducing The Complexity In Information Fusion,
2011
University of New Mexico
Evidence Supporting Measure Of Similarity For Reducing The Complexity In Information Fusion, Xinde Li, Jean Dezert, Florentin Smarandache, Xinhan Huang
Branch Mathematics and Statistics Faculty and Staff Publications
This paper proposes a new solution for reducing the number of sources of evidence to be combined in order to diminish the complexity of the fusion process required in some applications where the real-time constraint and strong computing resource limitation are of prime importance. The basic idea consists in selecting, among the whole set of sources of evidence, only the biggest subset of sources which are not too contradicting based on a criterion of Evidence Supporting Measure of Similarity (ESMS) in order to process solely the coherent information received. The ESMS criterion serves actually as a generic tool for outlier …
Contradiction Measures And Specificity Degrees Of Basic Belief Assignments,
2011
University of New Mexico
Contradiction Measures And Specificity Degrees Of Basic Belief Assignments, Florentin Smarandache, Arnaud Martin, Christophe Osswald
Branch Mathematics and Statistics Faculty and Staff Publications
In the theory of belief functions, many measures of uncertainty have been introduced. However, it is not always easy to understand what these measures really try to represent. In this paper, we re-interpret some measures of uncertainty in the theory of belief functions. We present some interests and drawbacks of the existing measures. On these observations, we introduce a measure of contradiction. Therefore, we present some degrees of non-specificity and Bayesianity of a mass. We propose a degree of specificity based on the distance between a mass and its most specific associated mass. We also show how to use the …
Neutrosophic Code,
2011
University of New Mexico
Neutrosophic Code, Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir
Branch Mathematics and Statistics Faculty and Staff Publications
The idea of neutrosophic code came into my mind at that time when i was reading the literature about linear codes and i saw that, if there is data transformation between a sender and a receiver. They want to send 11and 00 as codewords. They suppose 11 for true and 00 for false. When the sender sends the these two codewords and the error occurs. As a result the receiver received 01 or 10 instead of 11 and 00. This story give a way to the neutrosophic codes and thus we introduced neutrosophic codes over finite field in this paper.
G-Neutrosophic Space,
2011
University of New Mexico
G-Neutrosophic Space, Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir
Branch Mathematics and Statistics Faculty and Staff Publications
The Concept of a G-space came into being as a consequence of Group action on an ordinary set. Over the history of Mathematics and Algebra, theory of group action has emerged and proven to be an applicable and effective framework for the study of different kinds of structures to make connection among them.
Generalized Interval Neutrosophic Soft Set And Its Decision Making Problem,
2011
University of New Mexico
Generalized Interval Neutrosophic Soft Set And Its Decision Making Problem, Said Broumi
Branch Mathematics and Statistics Faculty and Staff Publications
In this work, we introduce the concept of generalized interval neutrosophic soft set and study their operations. Finally, we present an application of generalized interval neutrosophic soft set in decision making problem.
Putting The X In Biology: A Review Of The Mathematics Of Life,
2011
Old Dominion University
Putting The X In Biology: A Review Of The Mathematics Of Life, John Adam
Mathematics & Statistics Faculty Publications
(First Paragraph) Charles Darwin's 1859 work On the Origin of the Species contained no equations. But that does not mean mathematics has no role to play in the science of life; in fact, the field of biomathematics is burgeoning and has been for several decades. Ian Stewart's new book does an admirable job of unfolding the mathematics undergirding so much of the research being carried out today in the many fields that comprise the subject of biology. Stewart sets the context by noting five great revolutions that have changed the way scientists think about life. These five revolutions are: (i) …
A Class Of Gaussian Processes With Fractional Spectral Measures,
2011
Chapman University
A Class Of Gaussian Processes With Fractional Spectral Measures, Daniel Alpay, Palle Jorgensen, David Levanony
Mathematics, Physics, and Computer Science Faculty Articles and Research
We study a family of stationary increment Gaussian processes, indexed by time. These processes are determined by certain measures σ (generalized spectral measures), and our focus here is on the case when the measure σ is a singular measure. We characterize the processes arising from when σ is in one of the classes of affine self-similar measures. Our analysis makes use of Kondratiev-white noise spaces. With the use of a priori estimates and the Wick calculus, we extend and sharpen (see Theorem 7.1) earlier computations of Ito stochastic integration developed for the special case of stationary increment processes having absolutely …
Relation Liftings On Preorders And Posets,
2011
Academy of Sciences of the Czech Republic
Relation Liftings On Preorders And Posets, Marta Bílková, Alexander Kurz, Daniela Petrişan, Jiří Velebil
Engineering Faculty Articles and Research
The category Rel(Set) of sets and relations can be described as a category of spans and as the Kleisli category for the powerset monad. A set-functor can be lifted to a functor on Rel(Set) iff it preserves weak pullbacks. We show that these results extend to the enriched setting, if we replace sets by posets or preorders. Preservation of weak pullbacks becomes preservation of exact lax squares. As an application we present Moss’s coalgebraic over posets.
Towards Nominal Formal Languages,
2011
Chapman University
Towards Nominal Formal Languages, Alexander Kurz, Tomoyuki Suzuki, Emilio Tuosto
Engineering Faculty Articles and Research
We introduce formal languages over infinite alphabets where words may contain binders.We define the notions of nominal language, nominal monoid, and nominal regular expressions. Moreover, we extend history-dependent automata (HD-automata) by adding stack, and study the recognisability of nominal languages.
Generic Trace Logics,
2011
University of Leicester
Generic Trace Logics, Christian Kissig, Alexander Kurz
Engineering Faculty Articles and Research
We combine previous work on coalgebraic logic with the coalgebraic traces semantics of Hasuo, Jacobs, and Sokolova.
Completeness Of Ordered Fields,
2010
California Polytechnic State University, San Luis Obispo
Completeness Of Ordered Fields, James Forsythe Hall
Mathematics
The main goal of this project is to prove the equivalency of several characterizations of completeness of Archimedean ordered fields; some of which appear in most modern literature as theorems following from the Dedekind completeness of the real numbers, while a couple are not as well known and have to do with other areas of mathematics, such as nonstandard analysis. Continuing, we study the completeness of non-Archimedean fields, and provide several examples of such fields with varying degrees of properties, using nonstandard analysis to produce some relatively "nice" (in particular, they are Cantor complete) final examples. As a small detour, …
Markov Chains And Dynamical Systems: The Open System Point Of View,
2010
Louisiana State University
Markov Chains And Dynamical Systems: The Open System Point Of View, Stéphane Attal
Communications on Stochastic Analysis
No abstract provided.
Transformation Of Quantum Lévy Processes On Hopf Algebras,
2010
Louisiana State University
Transformation Of Quantum Lévy Processes On Hopf Algebras, Michael Schürmann, Michael Skeide, Silvia Volkwardt
Communications on Stochastic Analysis
No abstract provided.
Characterization Of Unitary Processes With Independent Increments,
2010
Louisiana State University
Characterization Of Unitary Processes With Independent Increments, Un Cig Ji, Lingaraj Sahu, Kalyan B Sinha
Communications on Stochastic Analysis
No abstract provided.
How To Differentiate A Quantum Stochastic Cocycle,
2010
Louisiana State University
How To Differentiate A Quantum Stochastic Cocycle, J Martin Lindsay
Communications on Stochastic Analysis
No abstract provided.
Preface,
2010
Louisiana State University
Robin Hudson's Pathless Path To Quantum Stochastic Calculus,
2010
Louisiana State University
Robin Hudson's Pathless Path To Quantum Stochastic Calculus, David Applebaum
Communications on Stochastic Analysis
No abstract provided.
Quantum Filtering In Coherent States,
2010
Louisiana State University
Quantum Filtering In Coherent States, John E Gough, Claus Köstler
Communications on Stochastic Analysis
No abstract provided.
Quantum Quasi-Markov Processes, L-Dynamics, And Noncommutative Girsanov Transformation,
2010
Louisiana State University
Quantum Quasi-Markov Processes, L-Dynamics, And Noncommutative Girsanov Transformation, V P Belavkin
Communications on Stochastic Analysis
No abstract provided.
On The Characteristic Function Of Random Variables Associated With Boson Lie Algebras,
2010
Università degli Studi di Roma Tor Vergata
On The Characteristic Function Of Random Variables Associated With Boson Lie Algebras, Luigi Accardi, Andreas Boukas
Communications on Stochastic Analysis
No abstract provided.
