1st Edition

Soft Computing and Its Applications, Volume Two Fuzzy Reasoning and Fuzzy Control

By Kumar S. Ray Copyright 2014
    468 Pages 169 Color Illustrations
    by Apple Academic Press

    468 Pages 169 Color Illustrations
    by Apple Academic Press

    This is volume 2 of the two-volume Soft Computing and Its Applications. This volume discusses several advanced features of soft computing and hybrid methodologies. This new book essentially contains the advanced features of soft computing and different hybrid methodologies for soft computing. The book contains an abundance of examples and detailed design studies.

    The tool soft computing can be a landmark paradigm of computation with cognition that directly or indirectly tries to replicate the rationality of human beings. The book explains several advanced features of soft computing, such as cognitive maps, complex valued fuzzy sets and fuzzy logic, quantum fuzzy sets and quantum fuzzy logic, and rough sets and hybrid methods that combine neural net fuzzy logic and genetic algorithms. The book contains several real-life applications to present the utility and potential of soft computing.

    The book:

    • Discusses the present state of art of soft computing

    • Includes the existing application areas of soft computing

    • Presents original research contributions

    • Discusses the future scope of work in soft computing

    The book is unique in that it bridges the gap between theory and practice, and it presents several experimental results on synthetic data and real-life data. The book provides a unified platform for applied scientists and engineers in different fields and industries for the application of soft computing tools in many diverse domains of engineering. This book can be used as a textbook and/or reference book by undergraduate and postgraduate students of many different engineering branches, such as electrical engineering, control engineering, electronics and communication engineering, computer sciences, and information sciences.

    Fuzzy Reasoning


    Model of approximate reasoning

    Basic approach to Zadeh’s fuzzy reasoning

    Extended fuzzy reasoning

    Further extension of fuzzy reasoning

    Generalized form of fuzzy reasoning

    Application of fuzzy reasoning for prediction of radiation fog

    Aggregation in fuzzy system modeling

    Single Input Rule Modules (SIRMs) connected fuzzy reasoning method

    Some properties of compositional rule of inference

    Computation of compositional rule of inference under t-norms

    Inverse approximate reasoning

    Interpolative fuzzy reasoning

    On generalized method-of-case inference rule

    Generalized disjunctive syllogism

    Ray’s bottom-up inferences

    Multidimensional fuzzy reasoning based on multidimensional fuzzy implication

    Fuzzy Reasoning Based on Concept of Similarity


    Fuzzy reasoning using similarity

    Similarity based fuzzy reasoning method

    Rule reduction is SBR

    Proposed similarity measure

    Fuzzy reasoning using similarity measures and computational rule of inference

    Applications to different models

    Reasoning based on total fuzzy similarity

    Similarity-based bidirectional approximate reasoning

    Logical approaches to fuzzy similarity-based reasoning

    Fuzzy resolution based on similarity-based unification

    Fuzzy Control


    Fuzzy controller

    Illustration on basic approaches to fuzzy control

    Fuzzy associative memory

    Fuzzy controller design

    Adaptive fuzzy controller design

    Self-tuning of fuzzy controller

    Single input rule module (SIRM)

    Construction of PID controller by simplified fuzzy reasoning method

    Fuzzy control as a fuzzy deduction system

    Concluding Remarks

    Review of the applications and future scope



    Kumar S. Ray, PhD, is a professor in the Electronics and Communication Science Unit at the Indian Statistical Institute, Kolkata, India. He has written a number of articles published in international journals and has presented at several professional meetings. His current research interests include artificial intelligence, computer vision, commonsense reasoning, soft computing, non-monotonic deductive database systems, and DNA computing.

    "This two-volume textbook set is a quite elementary, but rather comprehensive, introduction to the field of soft computing, accessible not only for undergraduates in mathematics, but also for students in computer science and engineering. The presentation is essentially correct, offers figures for most of the notions it defines, and presents lots of detailed numerical examples. Volume 1 starts with an explanation of the notion of soft computing and continues with chapters on fuzzy sets, fuzzy operators, fuzzy relations, fuzzy logic, fuzzy implications, fuzzy if-then models, and rough sets. Volume 2 covers in separate chapters the topics of fuzzy reasoning, fuzzy reasoning based on the concept of similarity, and fuzzy control."
    —Siegfried J. Gottwald, writing in Zentralblatt MATH, 1308