Books in the Studies in Fuzziness and Soft Computing series

This book offers an inspiring and naive view on language and reasoning. Written in a discursive style and without too many technicalities, the book presents a number of reflections on the study of reasoning, together with a new perspective on fuzzy logic and Zadeh's "computing with words" grounded in both language and reasoning.

This book provides an essential introduction to the field of dynamical models. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems.

This book presents the first algebraic treatment of quasi-truth fuzzy logic and covers the algebraic foundations of many-valued logic. The book presents perfect algebras as an interesting subclass of local MV-algebras and provides readers with the necessary knowledge and tools for formalizing the fuzzy concept of quasi true and quasi false.

After introducing the intuitionistic fuzzy numbers' operational laws and their geometrical and algebraic properties, the book defines the concept of intuitionistic fuzzy functions and presents the research on the derivative, differential, indefinite integral and definite integral of intuitionistic fuzzy functions.

The main focus is on showing current methods for finding the fuzzy optimal solution of fully fuzzy linear programming problems in which all the parameters and decision variables are represented by non-negative fuzzy numbers.

The book offers a comprehensive survey of intuitionistic fuzzy logics. Starting with an introduction to the basic elements of intuitionistic fuzzy propositional calculus, it then provides a guide to the use of intuitionistic fuzzy operators and quantifiers, and lastly presents state-of-the-art applications of intuitionistic fuzzy sets.

It reviews and summarizes previous research work in FTS modeling and also provides a brief introduction to other soft-computing techniques, such as artificial neural networks (ANNs), rough sets (RS) and evolutionary computing (EC), focusing on how these techniques can be integrated into different phases of the FTS modeling approach.

This book offers a comprehensive guide to the modelling of operational risk using possibility theory. The book offers a complete assessment of fuzzy methods for determining both value at risk (VaR) and subjective value at risk (SVaR), together with a stability estimation of VaR and SVaR.

Thisbook shows how common operation management methods and algorithms can beextended to deal with vague or imprecise information in decision-makingproblems.

This book makes use of the LISP programming language to provide readers with the necessary background to understand and use fuzzy logic to solve simple to medium-complexity real-world problems.

The set of possible outcomes in the process of government formation is then calculated on the basis of both the fuzzy Pareto set and the fuzzy maximal set, and the predictions are compared with those made by two conventional approaches as well as with the government that was actually formed.

This book offers a comprehensive analysis of the social choice literature and shows, by applying fuzzy sets, how the use of fuzzy preferences, rather than that of strict ones, may affect the social choice theorems. Moreover, the median voter theorem is shown to hold under strict fuzzy preferences but not under weak fuzzy preferences.

This book presents a systematic introduction to hesitant fuzzy theory. Coverage includes hesitant fuzzy aggregation techniques, hesitant fuzzy measures, hesitant fuzzy clustering algorithms and hesitant fuzzy multi-attribute decision making methods.

This book explores the technologies and approaches of fuzzy logic in the Semantic Web. Coverage includes fuzzy description logics and fuzzy ontologies, fuzzy Semantic Web ontology mapping, and fuzzy rules and their interchange in the Semantic Web.

The book offers a valuable resource for readers involved in theoretical research and practical applications from a range of different fields including game theory, operational research, management science, fuzzy mathematical programming, fuzzy mathematics, industrial engineering, business and social economics.

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.

This book presents an uncertainty modeling approach using a new type of fuzzy system model via "Fuzzy Functions". It also reviews standard tools of fuzzy system modeling approaches to demonstrate the novelty of the structurally different fuzzy function.

This book is focused on mathematical analysis and rigorous design methods for fuzzy control systems based on Takagi-Sugeno fuzzy models, sometimes called Takagi-Sugeno-Kang models.

This book presents an early software reliability prediction model that will help to grow the reliability of software systems by monitoring it in each development phase, from requirement to testing.

The purpose of this volume is to present some new learning paradigms that have been triggered, or at least strongly influenced by soft computing tools and techniques, mainly related to neural networks, fuzzy logic, rough sets, and evolutionary computations.

Decision and Game Theory in Management With Intuitionistic Fuzzy Sets

This text explains the epistemic structure of the relationships among uncertainty, expectations, risk, possibility and probability. It then probes how fuzzy paradigm and fuzzy rationality bring new understanding to those relationships.

This text offers the general scientific community the epistemic framework of fuzzy paradigm and the rationality it induces for approximate reasoning. It also describes the role fuzzy rationality plays in our information-knowledge enterprise.

This volume is the second in a series on the role of fuzzy paradigm and fuzzy rationality within the theory of knowledge. This one is devoted to unified epistemic models and theories of decision-choice under total uncertainties.

This comprehensive introduction to methods of 'intuitionistic' decision-making explains in detail a variety of models and approaches to interactive decision-making with intuitionistic fuzzy information, as well as systematic coverage of aggregation techniques.

This book provides a timely and comprehensive overview of current theories and methods in fuzzy logic, as well as relevant applications in a variety of fields of science and technology.

This book summarizes years of research in the field of fuzzy relational programming, with a special emphasis on geometric models. Though chiefly based on research conducted by the authors, who were the first to introduce fuzzy geometric problems, it also covers important findings obtained in the field of linear and non-linear programming.

This book offers the first comprehensive and critical literature review of fuzzy pairwise comparison methods derived from methods originally developed for crisp pairwise comparison matrices.

This book is open access under a CC BY 4.0 license. This open access book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in a variety of real-world applications.