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2011

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Articles 871 - 883 of 883

Full-Text Articles in Mathematics

Uniform And Partially Uniform Redistribution Rules, Florentin Smarandache, Jean Dezert Jan 2011

Uniform And Partially Uniform Redistribution Rules, Florentin Smarandache, Jean Dezert

Branch Mathematics and Statistics Faculty and Staff Publications

This short paper introduces two new fusion rules for combining quantitative basic belief assignments. These rules although very simple have not been proposed in literature so far and could serve as useful alternatives because of their low computation cost with respect to the recent advanced Proportional Conflict Redistribution rules developed in the DSmT framework.

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Some Ratio Type Estimators Under Measurement Errors, Florentin Smarandache, Mukesh Kumar, Rajesh Singh, Ashish K. Singh Jan 2011

Some Ratio Type Estimators Under Measurement Errors, Florentin Smarandache, Mukesh Kumar, Rajesh Singh, Ashish K. Singh

Branch Mathematics and Statistics Faculty and Staff Publications

This article addresses the problem of estimating the population mean using auxiliary information in the presence of measurement errors.

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Evidence Supporting Measure Of Similarity For Reducing The Complexity In Information Fusion, Florentin Smarandache, Jean Dezert, Xinde Li, Xinhan Huang Jan 2011

Evidence Supporting Measure Of Similarity For Reducing The Complexity In Information Fusion, Florentin Smarandache, Jean Dezert, Xinde Li, Xinhan Huang

Branch Mathematics and Statistics Faculty and Staff Publications

This paper presents a new method for reducing the number of sources of evidence to combine in order to reduce the complexity of the fusion processing. Such a complexity reduction is often required in many applications where the real-time constraint and limited computing resources are of prime importance. The basic idea consists in selecting, among all sources available, only a subset of sources of evidence to combine. The selection is based on an evidence supporting measure of similarity (ESMS) criterion which is an efficient generic tool for outlier sources identification and rejection. The ESMS between two sources of evidence can …

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Evidence Supporting Measure Of Similarity For Reducing The Complexity In Information Fusion, Xinde Li, Jean Dezert, Florentin Smarandache, Xinhan Huang Jan 2011

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 …

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Contradiction Measures And Specificity Degrees Of Basic Belief Assignments, Florentin Smarandache, Arnaud Martin, Christophe Osswald Jan 2011

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 …

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Neutrosophic Code, Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir Jan 2011

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.

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G-Neutrosophic Space, Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir Jan 2011

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.

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Generalized Interval Neutrosophic Soft Set And Its Decision Making Problem, Said Broumi Jan 2011

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.

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Neutrosophic Interval Bialgebraic Structures, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2011

Neutrosophic Interval Bialgebraic Structures, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

In this book the authors for the first time introduce the notion of neutrosophic intervals and study the algebraic structures using them. Concepts like groups and fields using neutrosophic intervals are not possible. Pure neutrosophic intervals and mixed neutrosophic intervals are introduced and by the very structure of the interval one can understand the category to which it belongs. We in this book introduce the notion of pure (mixed) neutrosophic interval bisemigroups or neutrosophic biinterval semigroups. We derive results pertaining to them. The new notion of quasi bisubsemigroups and ideals are introduced. Smarandache interval neutrosophic bisemigroups are also introduced and …

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Finite Neutrosophic Complex Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2011

Finite Neutrosophic Complex Numbers, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

In this book for the first time the authors introduce the notion of real neutrosophic complex numbers. Further the new notion of finite complex modulo integers is defined. For every C(Zn) the complex modulo integer iF is such that 2 Fi = n – 1. Several algebraic structures on C(Zn) are introduced and studied. Further the notion of complex neutrosophic modulo integers is introduced. Vector spaces and linear algebras are constructed using these neutrosophic complex modulo integers. This book is organized into 5 chapters. The first chapter introduces real neutrosophic complex numbers. Chapter two introduces the notion of finite complex …

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Interval Algebraic Bistructures, Florentin Smarandache, W.B. Vasantha Kandasamy Jan 2011

Interval Algebraic Bistructures, Florentin Smarandache, W.B. Vasantha Kandasamy

Branch Mathematics and Statistics Faculty and Staff Publications

Authors in this book construct interval bistructures using only interval groups, interval loops, interval semigroups and interval groupoids. Several results enjoyed by these interval bistructures are described. By this method, we obtain interval bistructures which are associative or non associative or quasi associative. The term quasi is used mainly in the interval bistructure B = B1 ∪ B2 (or in n-interval structure) if one of B1 (or B2) enjoys an algebraic property and the other does not enjoy that property (one section of interval structure satisfies an algebraic property and the remaining section does not satisfy that particular property). The …

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Neutrosophic Interpretation Of The Analects Of Confucius, Florentin Smarandache, Fu Yuhua Jan 2011

Neutrosophic Interpretation Of The Analects Of Confucius, Florentin Smarandache, Fu Yuhua

Branch Mathematics and Statistics Faculty and Staff Publications

This book is the companion volume of "Neutrosophic Interpretation of Tao Te Ching,” its purpose is to extend the foundation and application range of “The Analects of Confucius.” The reasons for this are as follows. Firstly, we are willing to point out that The Analects of Confucius already has some limitations, because many questions we are interested in cannot be answered within “The Analects of Confucius.” For example, The Analects of Confucius basically discussed the matters in China, however considering all possible situations it should matter in foreign countries as well, i.e. the “global village.” This was impossible in Confucian …

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Neutrosophic Interpretation Of Tao Te Ching, Florentin Smarandache, Fu Yuhua Jan 2011

Neutrosophic Interpretation Of Tao Te Ching, Florentin Smarandache, Fu Yuhua

Branch Mathematics and Statistics Faculty and Staff Publications

The purpose of this book is to extend the foundation and application range of 'Tao Te Ching'. The reasons for this are as follows. Firstly, we are willing to point out that 'Tao Te Ching' already has some limitation, because many questions we are interested in cannot be answered within 'Tao Te Ching'. For example, 'Tao Te Ching' basically discussed the matters in China, however considering all possible situations it should matter in foreign countries as well, i.e. the “global village”. This was impossible in Lao Tzu’s time. Secondly, if the original “Tao Te Ching” is regarded as “Positive Tao …

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