© 2019

Information Measures for Hesitant Fuzzy Sets and Their Extensions


Part of the Uncertainty and Operations Research book series (UOR)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Bahram Farhadinia, Zeshui Xu
    Pages 1-29
  3. Bahram Farhadinia, Zeshui Xu
    Pages 31-58
  4. Bahram Farhadinia, Zeshui Xu
    Pages 59-67
  5. Bahram Farhadinia, Zeshui Xu
    Pages 69-102

About this book


This book gives a thorough and systematic introduction to the latest research results on hesitant fuzzy and its extensions decision making theory. It includes five chapters: Hesitant Fuzzy Set and its Extensions, Distance Measures for Hesitant Fuzzy Sets and Their Extensions, Similarity Measures for Hesitant Fuzzy Sets and Their Extensions, Entropy Measures for Hesitant Fuzzy Sets and Their Extensions, and Application of Information Measures in Multiple Criteria Decision Making. These methodologies are also implemented in various fields such as decision making, medical diagnosis, cluster analysis, environmental management, etc. This book is suitable for the engineers, technicians, and researchers in the fields of fuzzy mathematics, operations research, information science and management science and engineering, etc. It can also be used as a textbook for postgraduate and senior-year undergraduate students of the relevant professional institutions of higher learning.


Fuzzy Hesitant fuzzy set Multiple criteria decision making Distance measure Similarity measure Entropy measure

Authors and affiliations

  1. 1.Quchan University of TechnologyQuchanIran
  2. 2.Business SchoolSichuan UniversityChengduChina

About the authors

Bahram Farhadinia is an Associate Professor of applied mathematics in Quchan University of Technology, Quchan, Iran. He was an Academic Visitor with the School of Elec Eng, Comp and Math Sci (EECMS), Curtin University, Australia in 2007. He was also an Academic Visitor with the Department of Computer Science and Artificial Intelligence, University of Granada, Spain in 2017. He has published one book in Persian (a textbook for postgraduate students) and more than 35 peer-reviewed papers, many in high-quality international journals including Information Sciences, Knowledge-Based Systems, Soft Computing, Applied Intelligence, International Journal of Fuzzy Systems, Cognitive Computation, etc. Two of his papers have been selected as ESI Highly Cited Papers. His current research interest includes group decision making, information fusion, and multiple criteria decision making under uncertainty. Dr. Farhadinia has received numerous honors and awards, including the 2001 and 2005 Outstanding Graduate awards (Ranked Number One in the university), Iran, Distinguished Researcher Award (QUAT 2011, 2013-2016), etc. Dr. Farhadinia is the deputy of Iranian Fuzzy Systems Society, and the Editor of international journal of Recent Research in Science and Technology, and serves as a reviewer for more than 30 international journals.

Zeshui Xu is a Distinguished Young Scholar of the National Natural Science Foundation of China and the Chang Jiang Scholars of the Ministry of Education of China. He is currently a Professor with the Business School, Sichuan University, Chendu, China. He has been selected as a 2014 and 2015 Thomson Reuters Highly Cited Researcher (in the fields of Computer Science and Engineering, respectively) and also included in The World's Most Influential Scientific Minds 2014. His h-index is 87, and has authored the following books: Uncertain Multiple Attribute Decision Making: Methods and Applications (Tsinghua Univ. Press, 2004), Intuitionistic Fuzzy Information Aggregation: Theory and Applications (Science Press and Springer, 2012), Linguistic Decision Making: Theory and Methods (Science Press and Springer, 2012), Intuitionistic Fuzzy Preference Modeling and Interactive Decision Making (Springer, 2013), Intuitionistic Fuzzy Aggregation and Clustering (Springer, 2013), and Hesitant Fuzzy Sets Theory (Springer, 2014). He has contributed more than 660 journal articles to professional journals. His current research interests include information fusion, group decision making, computing with words, and aggregation operators. Prof. Xu is the Associate Editor of IEEE Transactions on Fuzzy Systems, Information Sciences, International Journal of Fuzzy Systems, Fuzzy Optimization and Decision Making, International Journal Machine Leaning and Cybernetics, etc. He is also a member of the Editorial Boards of Information Fusion, Information: An International Journal, International Journal of Applied Management Science, International Journal of Data Analysis Techniques and Strategies, Journal of Applied and Computational Mathematics, International Journal of Research in Industrial Engineering, System Engineering—Theory and Practice, Fuzzy Systems and Mathematics, Journal of Systems Engineering, and Chinese Journal of Management Science, etc.

Bibliographic information

  • Book Title Information Measures for Hesitant Fuzzy Sets and Their Extensions
  • Authors Bahram Farhadinia
    Zeshui Xu
  • Series Title Uncertainty and Operations Research
  • Series Abbreviated Title Uncertainty and Operations Research
  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Business and Management Business and Management (R0)
  • Hardcover ISBN 978-981-13-3728-4
  • eBook ISBN 978-981-13-3729-1
  • Series ISSN 2195-996X
  • Series E-ISSN 2195-9978
  • Edition Number 1
  • Number of Pages XI, 120
  • Number of Illustrations 1 b/w illustrations, 2 illustrations in colour
  • Topics Operations Research/Decision Theory
  • Buy this book on publisher's site
Industry Sectors
Consumer Packaged Goods
Finance, Business & Banking
Energy, Utilities & Environment