Possibility Theory

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 878/5 ( reviews)

Possibility Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Possibility Theory write by Didier Dubois. This book was released on 2012-12-06. Possibility Theory available in PDF, EPUB and Kindle. In the evolution of scientific theories, concern with uncertainty is almost invariably a concomitant of maturation. This is certainly true of the evolution· of physics, economics, operations research, communication sciences, and a host of other fields. And it is true of what has been happening more recently in the area of artificial intelligence, most notably in the development of theories relating to the management of uncertainty in knowledge-based systems. In science, it is traditional to deal with uncertainty through the use of probability theory. In recent years, however, it has become increasingly clear that there are some important facets of uncertainty which do not lend themselves to analysis by classical probability-based methods. One such facet is that of lexical elasticity, which relates to the fuzziness of words in natural languages. As a case in point, even a simple relation X, Y, and Z, expressed as if X is small and Y is very large then between Z is not very small, does not lend itself to a simple interpretation within the framework of probability theory by reason of the lexical elasticity of the predicates small and large.

Concepts of Probability Theory

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Release : 2013-05-13
Genre : Mathematics
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Book Rating : 663/5 ( reviews)

Concepts of Probability Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Concepts of Probability Theory write by Paul E. Pfeiffer. This book was released on 2013-05-13. Concepts of Probability Theory available in PDF, EPUB and Kindle. Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.

Possibility Theory and the Risk

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Release : 2012-01-13
Genre : Computers
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Book Rating : 393/5 ( reviews)

Possibility Theory and the Risk - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Possibility Theory and the Risk write by Irina Georgescu. This book was released on 2012-01-13. Possibility Theory and the Risk available in PDF, EPUB and Kindle. The book deals with some of the fundamental issues of risk assessment in grid computing environments. The book describes the development of a hybrid probabilistic and possibilistic model for assessing the success of a computing task in a grid environment

Possibility Theory for the Design of Information Fusion Systems

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Release : 2019-12-26
Genre : Mathematics
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Book Rating : 538/5 ( reviews)

Possibility Theory for the Design of Information Fusion Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Possibility Theory for the Design of Information Fusion Systems write by Basel Solaiman. This book was released on 2019-12-26. Possibility Theory for the Design of Information Fusion Systems available in PDF, EPUB and Kindle. This practical guidebook describes the basic concepts, the mathematical developments, and the engineering methodologies for exploiting possibility theory for the computer-based design of an information fusion system where the goal is decision support for industries in smart ICT (information and communications technologies). This exploitation of possibility theory improves upon probability theory, complements Dempster-Shafer theory, and fills an important gap in this era of Big Data and Internet of Things. The book discusses fundamental possibilistic concepts: distribution, necessity measure, possibility measure, joint distribution, conditioning, distances, similarity measures, possibilistic decisions, fuzzy sets, fuzzy measures and integrals, and finally, the interrelated theories of uncertainty..uncertainty. These topics form an essential tour of the mathematical tools needed for the latter chapters of the book. These chapters present applications related to decision-making and pattern recognition schemes, and finally, a concluding chapter on the use of possibility theory in the overall challenging design of an information fusion system. This book will appeal to researchers and professionals in the field of information fusion and analytics, information and knowledge processing, smart ICT, and decision support systems.

Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory

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Release : 2012-12-06
Genre : Business & Economics
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Book Rating : 098/5 ( reviews)

Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory write by J. Kacprzyk. This book was released on 2012-12-06. Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory available in PDF, EPUB and Kindle. Decision making is certainly a very crucial component of many human activities. It is, therefore, not surprising that models of decisions play a very important role not only in decision theory but also in areas such as operations Research, Management science, social Psychology etc . . The basic model of a decision in classical normative decision theory has very little in common with real decision making: It portrays a decision as a clear-cut act of choice, performed by one individual decision maker and in which states of nature, possible actions, results and preferences are well and crisply defined. The only compo nent in which uncertainty is permitted is the occurence of the different states of nature, for which probabilistic descriptions are allowed. These probabilities are generally assumed to be known numerically, i. e. as single probabili ties or as probability distribution functions. Extensions of this basic model can primarily be conceived in three directions: 1. Rather than a single decision maker there are several decision makers involved. This has lead to the areas of game theory, team theory and group decision theory. 2. The preference or utility function is not single valued but rather vector valued. This extension is considered in multiattribute utility theory and in multicritieria analysis. 3.