An Introduction to Fuzzy Set Theory and Fuzzy Logic, 2/e

DETAILS :

• Author : by Chander Mohan
  
• Publisher ‏ : ‎ Viva Books
  
• ISBN-10 ‏ : ‎ 938715369X 
  
• ISBN-13 ‏ : ‎ 978-9387153691
  
• Hardcover : 372 pages
  
• Item Weight ‏ : ‎ 850 g

ABOUT THE BOOK

An Introduction to Fuzzy Set Theory and Fuzzy Logic (Second Edition), authored by the distinguished applied mathematician Dr. Chander Mohan, is a highly structured, mathematically rigorous textbook. Published by S. Chand Publishing, this volume serves as an essential guide for senior undergraduate and postgraduate students of Computer Science, Information Technology, Applied Mathematics, and Engineering. The core philosophy of this text centers on handling epistemic uncertainty—proving that real-world human reasoning and complex engineering challenges cannot always be confined to classic binary logic (true/false or 1/0), but must instead be modeled using degrees of truth ranging continuously between 0 and 1.

The book is structurally organized into a progressive mathematical framework that bridges abstract set theory with practical computational engineering. Dr. Mohan avoids dense, unapproachable jargon, systematically laying down the mechanics of fuzzy systems through clear, scannable steps:

• Classical Sets vs. Fuzzy Sets: Transitioning from crisp binary boundaries to flexible fuzzy membership functions ($\mu_A(x) \in [0, 1]$).
• Fuzzy Relations and Operations: Exploring fuzzy intersections (t-norms), unions (t-conorms), and the extension principle that allows standard mathematical operations to be applied to fuzzy numbers.
• Fuzzy Logic and Approximate Reasoning: Formulating linguistic variables, fuzzy propositions, and multi-valued implication rules.
• Fuzzy Inference Systems (FIS): Detailing the exact architectonic layout of Mamdani and Sugeno fuzzy inference methods, mapping out how real-world inputs are fuzzified, processed via a rule base, and defuzzified into crisp actions.
• Applications: Reviewing the functional application of fuzzy logic in automated control systems, pattern recognition, decision-making algorithms, and artificial intelligence.

ABOUT THE AUTHOR

Dr. Chander Mohan is an elite Indian academician, research mathematician, and former Professor and Head of the Department of Mathematics at the Indian Institute of Technology (IIT) Roorkee. With a career spanning over four decades, his research footprint covers optimization techniques, fuzzy systems, and evolutionary computing, making him a highly respected pioneer in the South Asian computational mathematics space.

Dr. Mohan’s authorial and pedagogical style is extraordinarily lucid, analytical, and derivation-centric. Writing with the logical precision of a veteran IIT professor, he presents every concept alongside worked-out numerical examples, proofs, and graphical representations of membership curves. He actively strips away speculative computing fluff to deliver a clear, balanced textbook that provides students with the foundational mathematical proofs required to build reliable automated software systems.