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Title:Approximate Reasoning by Parts: An Introduction to Rough Mereology
Format Type:eBook PDF / e-Pub
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ISBN:1283476460
Number of Pages:360

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Network Reliability and Resilience

Network Reliability and Resilience

This book is devoted to the probabilistic description of the behavior of a network in the process of random removal of its components links nodes appearing as a result of technical failures natural disasters or intentional attacks It is focused on a practical approach to network reliability and resilience evaluation based on applications of Monte Carlo methodology to numerical approximation of network combinatorial invariants including so called multidimensional destruction spectra This allows to develop a probabilistic follow up analysis of the network in the process of its gradual destruction to identify most important network components and to develop efficient heuristic algorithms for network optimal design Our methodology works with satisfactory accuracy and efficiency for most applications of reliability theory to real life problems in networks


Biologically Inspired Approaches for Locomotion, Anomaly Detection and Reconfiguration for Walking Robots

Biologically Inspired Approaches for Locomotion Anomaly Detection and Reconfiguration for Walking Robots

This book introduces a biologically inspired swarm intelligence approach for reconfiguring robots focusing particularly on its application to robots that are able to walk It is a method aimed at making these robots more autonomous and self capable


Average Time Complexity of Decision Trees

Average Time Complexity of Decision Trees

Decision tree is a widely used form of representing algorithms and knowledge Compact data models and fast algorithms require optimization of tree complexity This book is a research monograph on average time complexity of decision trees It generalizes several known results and considers a number of new problems The book contains exact and approximate algorithms for decision tree optimization and bounds on minimum average time complexity of decision trees Methods of combinatorics probability theory and complexity theory are used in the proofs as well as concepts from various branches of discrete mathematics and computer science The considered applications includethe study of average depth of decision trees for Boolean functions from closed classes the comparison of results of the performance of greedy heuristics for average depth minimization with optimal decision trees constructed by dynamic programming algorithm and optimization of decision trees for the corner point recognition problem from computer vision The book can be interesting for researchers working on time complexity of algorithms and specialists in test theory rough set theory logical analysis of data and machine learning


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The monograph offers a view on Rough Mereology a tool for reasoning under uncertainty which goes back to Mereology formulated in terms of parts by Lesniewski and borrows from Fuzzy Set Theory and Rough Set Theory ideas of the containment to a degree The result is a theory based on the notion of a part to a degree One can invoke here a formula Rough Rough Mereology Mereology Fuzzy Set Theory Set Theory As with Mereology Rough Mereology finds important applications in problems of Spatial Reasoning illustrated in this monograph with examples from Behavioral Robotics Due to its involvement with concepts Rough Mereology offers new approaches to Granular Computing Classifier and Decision Synthesis Logics for Information Systems and are formulation of well known ideas of Neural Networks and Many Agent Systems All these approaches are discussed in this monograph To make the exposition self contained underlying notions of Set Theory Topology and Deductive and Reductive Reasoning with emphasis on Rough and Fuzzy Set Theories along with a thorough exposition of Mereology both in Lesniewski and Whitehead Leonard Goodman Clarke versions are discussed at length It is hoped that the monograph offers researchers in various areas of Artificial Intelligence a new tool to deal with analysis of relations among concepts Approximate Reasoning by Parts: An Introduction to Rough Mereology books by Lech Polkowski

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