Books by John N. Mordeson

This book uses mathematics of uncertainty to examine how well countries are achieving the 17 Sustainable Development Goals (SDGs) set by the members of the United Nations, with a focus on climate change, human trafficking and modern slavery.

This book provides an examination of major problems facing the world using mathematics of uncertainty. Since accurate data is impossible to obtain concerning human tracking and other global problems, mathematics of uncertainty is an ideal discipline to study these problems.

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, this book provides a comprehensive study of fuzzy social choice theory. It focuses on Arrow's theorem, one of the most important discoveries in social th

This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking.

Fuzzy Automata Theory offers the first in-depth treatment of the theory and mathematics of fuzzy automata and fuzzy languages. It effectively compares and contrasts the different approaches used in fuzzy mathematics and automata and includes complete proofs of the theoretical results presented. More than 60 figures and 125 examples illustrate the results, and exercises in each chapter serve not only to test understanding, but also to present material not covered in detail within the text. Although the book is theoretical in nature, the authors also discuss applications in a variety of fields, including databases, medicine, learning systems, and pattern recognition.

This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas.

Fuzzy social choice theory is useful for modeling the uncertainty and imprecision prevalent in social life yet it has been scarcely applied and studied in the social sciences. Filling this gap, this book provides a comprehensive study of fuzzy social choice theory. It focuses on Arrow¿s theorem, one of the most important discoveries in social th

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.

Offers a treatment of the theory and mathematics of fuzzy automata and fuzzy languages. This title compares the different approaches used in fuzzy mathematics and automata and includes proofs of the theoretical results presented. It discusses applications in a variety of fields, including databases, learning systems, and pattern recognition.