A Practical Guide To Averaging Functions
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A Practical Guide To Averaging Functions
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Author : Gleb Beliakov
language : en
Publisher: Springer
Release Date : 2015-10-15
A Practical Guide To Averaging Functions written by Gleb Beliakov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-15 with Technology & Engineering categories.
This book offers an easy-to-use and practice-oriented reference guide to mathematical averages. It presents different ways of aggregating input values given on a numerical scale, and of choosing and/or constructing aggregating functions for specific applications. Building on a previous monograph by Beliakov et al. published by Springer in 2007, it outlines new aggregation methods developed in the interim, with a special focus on the topic of averaging aggregation functions. It examines recent advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends many of the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions. A substantial mathematical background is not called for, as all the relevant mathematical notions are explained here and reported on together with a wealth of graphical illustrations of distinct families of aggregation functions. The authors mainly focus on practical applications and give central importance to the conciseness of exposition, as well as the relevance and applicability of the reported methods, offering a valuable resource for computer scientists, IT specialists, mathematicians, system architects, knowledge engineers and programmers, as well as for anyone facing the issue of how to combine various inputs into a single output value.
An Introduction To Data Analysis Using Aggregation Functions In R
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Author : Simon James
language : en
Publisher: Springer
Release Date : 2016-11-07
An Introduction To Data Analysis Using Aggregation Functions In R written by Simon James and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-07 with Computers categories.
This textbook helps future data analysts comprehend aggregation function theory and methods in an accessible way, focusing on a fundamental understanding of the data and summarization tools. Offering a broad overview of recent trends in aggregation research, it complements any study in statistical or machine learning techniques. Readers will learn how to program key functions in R without obtaining an extensive programming background. Sections of the textbook cover background information and context, aggregating data with averaging functions, power means, and weighted averages including the Borda count. It explains how to transform data using normalization or scaling and standardization, as well as log, polynomial, and rank transforms. The section on averaging with interaction introduces OWS functions and the Choquet integral, simple functions that allow the handling of non-independent inputs. The final chapters examine software analysis with an emphasis on parameter identification rather than technical aspects. This textbook is designed for students studying computer science or business who are interested in tools for summarizing and interpreting data, without requiring a strong mathematical background. It is also suitable for those working on sophisticated data science techniques who seek a better conception of fundamental data aggregation. Solutions to the practice questions are included in the textbook.
Uncertainty Data In Interval Valued Fuzzy Set Theory
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Author : Barbara Pękala
language : en
Publisher: Springer
Release Date : 2018-06-27
Uncertainty Data In Interval Valued Fuzzy Set Theory written by Barbara Pękala and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-27 with Technology & Engineering categories.
This book offers an introduction to fuzzy sets theory and their operations, with a special focus on aggregation and negation functions. Particular attention is given to interval-valued fuzzy sets and Atanassov’s intuitionistic fuzzy sets and their use in uncertainty models involving imperfect or unknown information. The theory and application of interval-values fuzzy sets to various decision making problems represent the central core of this book, which describes in detail aggregation operators and their use with imprecise data represented as intervals. Interval-valued fuzzy relations, compatibility measures of interval and the transitivity property are thoroughly covered. With its good balance between theoretical considerations and applications of originally developed algorithms to real-world problem, the book offers a timely, inspiring guide to mathematicians and engineers developing new decision making models or implementing/applying existing ones to a wide range of applications involving imprecise or incomplete data.
Discrete Fuzzy Measures
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Author : Gleb Beliakov
language : en
Publisher: Springer
Release Date : 2019-03-19
Discrete Fuzzy Measures written by Gleb Beliakov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Computers categories.
This book addresses computer scientists, IT specialists, mathematicians, knowledge engineers and programmers, who are engaged in research and practice of multicriteria decision making. Fuzzy measures, also known as capacities, allow one to combine degrees of preferences, support or fuzzy memberships into one representative value, taking into account interactions between the inputs. The notions of mutual reinforcement or redundancy are modeled explicitly through coefficients of fuzzy measures, and fuzzy integrals, such as the Choquet and Sugeno integrals combine the inputs. Building on previous monographs published by the authors and dealing with different aspects of aggregation, this book especially focuses on the Choquet and Sugeno integrals. It presents a number of new findings concerning computation of fuzzy measures, learning them from data and modeling interactions. The book does not require substantial mathematical background, as all the relevant notions are explained. It is intended as concise, timely and self-contained guide to the use of fuzzy measures in the field of multicriteria decision making.
Advances In Fuzzy Logic And Technology 2017
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Author : Janusz Kacprzyk
language : en
Publisher: Springer
Release Date : 2017-08-30
Advances In Fuzzy Logic And Technology 2017 written by Janusz Kacprzyk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-30 with Technology & Engineering categories.
This volume constitutes the proceedings of two collocated international conferences: EUSFLAT-2017 – the 10th edition of the flagship Conference of the European Society for Fuzzy Logic and Technology held in Warsaw, Poland, on September 11–15, 2017, and IWIFSGN’2017 – The Sixteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, held in Warsaw on September 13–15, 2017. The conferences were organized by the Systems Research Institute, Polish Academy of Sciences, Department IV of Engineering Sciences, Polish Academy of Sciences, and the Polish Operational and Systems Research Society in collaboration with the European Society for Fuzzy Logic and Technology (EUSFLAT), the Bulgarian Academy of Sciences and various European universities. The aim of the EUSFLAT-2017 was t o bring together theoreticians and practitioners working on fuzzy logic, fuzzy systems, soft computing and related areas and to provide a platform for exchanging ideas and discussing the latest trends and ideas, while the aim of IWIFSGN’2017 was to discuss new developments in extensions of the concept of a fuzzy set, such as an intuitionistic fuzzy set, as well as other concepts, like that of a generalized net. The papers included, written by leading international experts, as well as the special sessions and panel discussions contribute to the development the field, strengthen collaborations and intensify networking.
Python Functional Programming Simplified A Practical Guide With Examples
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Author : William E. Clark
language : en
Publisher: Walzone Press
Release Date : 2025-03-29
Python Functional Programming Simplified A Practical Guide With Examples written by William E. Clark and has been published by Walzone Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-29 with Computers categories.
Python Functional Programming Simplified: A Practical Guide with Examples provides a comprehensive overview of functional programming concepts as applied in the Python programming language. This book systematically introduces essential principles such as first-class functions, immutability, and recursion, and presents these ideas in a clear and precise manner. It builds a solid foundation for programmers seeking to leverage functional techniques to produce reliable and maintainable code. The book is organized into coherent chapters that progressively develop the reader’s understanding from fundamental concepts to more advanced techniques. Detailed examples and step-by-step explanations are used to illustrate built-in functions like lambda expressions, map, filter, and reduce, as well as advanced methods including decorators and currying. Each section is designed to demonstrate practical applications, ensuring that theoretical concepts are consistently reinforced with demonstrative Python code. Targeting both budding programmers and experienced developers interested in modern programming paradigms, this guide emphasizes hands-on learning and practical problem solving. The material is presented in a straightforward and professional tone, enabling readers to develop effective strategies for integrating functional programming practices into their projects. By focusing on clear technical explanations and real-world examples, the book equips readers with the tools needed to write concise, scalable, and robust Python code.
Information Processing And Management Of Uncertainty In Knowledge Based Systems Theory And Foundations
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Author : Jesús Medina
language : en
Publisher: Springer
Release Date : 2018-05-30
Information Processing And Management Of Uncertainty In Knowledge Based Systems Theory And Foundations written by Jesús Medina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-30 with Computers categories.
This three volume set (CCIS 853-855) constitutes the proceedings of the 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2017, held in Cádiz, Spain, in June 2018. The 193 revised full papers were carefully reviewed and selected from 383 submissions. The papers are organized in topical sections on advances on explainable artificial intelligence; aggregation operators, fuzzy metrics and applications; belief function theory and its applications; current techniques to model, process and describe time series; discrete models and computational intelligence; formal concept analysis and uncertainty; fuzzy implication functions; fuzzy logic and artificial intelligence problems; fuzzy mathematical analysis and applications; fuzzy methods in data mining and knowledge discovery; fuzzy transforms: theory and applications to data analysis and image processing; imprecise probabilities: foundations and applications; mathematical fuzzy logic, mathematical morphology; measures of comparison and entropies for fuzzy sets and their extensions; new trends in data aggregation; pre-aggregation functions and generalized forms of monotonicity; rough and fuzzy similarity modelling tools; soft computing for decision making in uncertainty; soft computing in information retrieval and sentiment analysis; tri-partitions and uncertainty; decision making modeling and applications; logical methods in mining knowledge from big data; metaheuristics and machine learning; optimization models for modern analytics; uncertainty in medicine; uncertainty in Video/Image Processing (UVIP).
Fuzzy Logic And Information Fusion
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Author : Tomasa Calvo Sánchez
language : en
Publisher: Springer
Release Date : 2016-05-10
Fuzzy Logic And Information Fusion written by Tomasa Calvo Sánchez and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-10 with Technology & Engineering categories.
This book offers a timely report on key theories and applications of soft-computing. Written in honour of Professor Gaspar Mayor on his 70th birthday, it primarily focuses on areas related to his research, including fuzzy binary operators, aggregation functions, multi-distances, and fuzzy consensus/decision models. It also discusses a number of interesting applications such as the implementation of fuzzy mathematical morphology based on Mayor-Torrens t-norms. Importantly, the different chapters, authored by leading experts, present novel results and offer new perspectives on different aspects of Mayor’s research. The book also includes an overview of evolutionary fuzzy systems, a topic that is not one of Mayor’s main areas of interest, and a final chapter written by the Spanish pioneer in fuzzy logic, Professor E. Trillas. Computer and decision scientists, knowledge engineers and mathematicians alike will find here an authoritative overview of key soft-computing concepts and techniques.
Advances In Fuzzy Logic And Technology
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Author : Michał Baczyński
language : en
Publisher: Springer Nature
Release Date : 2025-07-08
Advances In Fuzzy Logic And Technology written by Michał Baczyński and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-08 with Computers categories.
This two-volume set LNCS 15883-15884 constitutes the proceedings of the 14th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2025, held in Riga, Latvia, during July 21–25, 2025. The 45 full papers and 8 short papers presented in this book were carefully reviewed and selected from 60 submissions. The papers are divided into special sessions on: fuzzy relations and applications; fuzzy transforms; generalized quantifiers, logical syllogisms and applications; fuzzy entropy; fuzzy metric spaces and their generalizations; information fusion techniques; mathematical fuzzy logic; modeling complex dynamics: adapting analytical tools for diverse scenarios; new contexts in aggregation theory; representing and managing uncertainty; soft methods in statistical inference and data analysis; type 2 fuzzy sets; and advancements and applications of fuzzy theory.
Information Processing And Management Of Uncertainty In Knowledge Based Systems
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Author : Davide Ciucci
language : en
Publisher: Springer Nature
Release Date : 2022-07-04
Information Processing And Management Of Uncertainty In Knowledge Based Systems written by Davide Ciucci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-04 with Computers categories.
This two-volume set (CCIS 1601-1602) constitutes the proceedings of the 19th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2021, held in Milan, Italy, in July 2022. The 124 papers were carefully reviewed and selected from 188 submissions. The papers are organized in topical sections as follows: aggregation theory beyond the unit interval; formal concept analysis and uncertainty; fuzzy implication functions; fuzzy mathematical analysis and its applications; generalized sets and operators; information fusion techniques based on aggregation functions, pre-aggregation functions, and their generalizations; interval uncertainty; knowledge acquisition, representation and reasoning; logical structures of opposition and logical syllogisms; mathematical fuzzy logics; theoretical and applied aspects of imprecise probabilities; data science and machine learning; decision making modeling and applications; e-health; fuzzy methods in data mining and knowledge discovery; soft computing and artificia intelligence techniques in image processing; soft methods in statistics and data analysis; uncertainty, heterogeneity, reliability and explainability in AI; weak and cautious supervised learning.