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ABSTRACT
We propose notions of some distance measures between two hesitant intuitionistic fuzzy linguistic term sets (HIFLTSs). Weighted distance measures between two collections of HIFLTSs are also proposed and analyzed for discrete and continuous cases. Based on the proposed distance measures, the relative closeness (RC) coefficients for different alternatives are established and then used to rank the alternatives in a multi-criteria group decision-making problem. Furthermore, a comparison between the RC coefficients of alternatives by using the proposed distance measures for different values of the risk factor parameter is given graphically. Two illustrative examples are provided to elaborate the applicability and advantage of the proposed approach for the selection of suitable alternative.
Acknowledgements
The authors are very grateful to the anonymous reviewers and the editor for their valuable comments and constructive suggestions that improve the previous version of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Notes on contributors
Shahzad Faizi
Shahzad Faizi received M.Phil. degree in Mathematics from the National University of Computer and Emerging Sciences (FAST-NUCES), Lahore, Pakistan in 2012. From March 2013, he is Ph.D. Scholar at Department of Mathematics, University of Management and Technology (UMT), Lahore. He is currently working with Virtual University of Pakistan as an Assistant Professor. He has contributed 6 research articles to professional journals. His current research interests include fuzzy set theory, multi-criteria decision-making and aggregation operators.
Tabasam Rashid
Tabasam Rashid received the Ph.D. degree in Mathematics from National University of Computer and Emerging Sciences, Pakistan, in 2015. He is teaching Mathematics courses from January 2010. Now he is working as Assistant Professor at the University of Management and Technology, Lahore, Pakistan. He has authored about 50 journal articles to professional journals. He is currently the reviewer of American Mathematical Society and peer reviewer of several international journals. He has been selected as ‘Best Researcher (2015)’ at University of Management and Technology, Lahore, Pakistan. He is supervising research to Ph.D. Scholars. His current research interests include fuzzy sets, fuzzy decision-making, clustering algorithms, computing with words, similarity measures, aggregation operators, preference relations, etc.
Zeshui Xu
Zeshui Xu received the Ph.D. degree in management science and engineering from Southeast University, Nanjing, China, in 2003. From April 2003 to May 2005, he was a Postdoctoral Researcher with School of Economics and Management, Southeast University. From October 2005 to December 2007, he was a Postdoctoral Researcher with School of Economics and Management, Tsinghua University, Beijing, China. From 2009, he has been a senior member of IEEE, and in 2008, he was appointed as a Chair Professor with PLA University of Science and Technology. He is a Distinguished Young Scholar of the National Natural Science Foundation of China, the Chang Jiang Scholars of the Ministry of Education of China, and the national expert with outstanding contributions. He is with the Business School, Sichuan University, Chengdu, China. He has authored six monographs published by Springer-Verlag and contributed more than 520 journal articles to professional journals, among which there are more than 330 SCI or SSCI papers, 62 top one percent most highly cited papers and 10 ESI hot papers published in Engineering/Computer Science/Economics & Business during 2003–2016. The published papers have been cited over 32000 times. He is also peer reviewer for more than 250 professional journals, his h-index of all published papers is 92. He is currently the chief editor of Scholars Journal of Economics, Business and Management, and the associate editors of IEEE Transactions on Fuzzy Systems, International Journal Machine Leaning and Cybernetics, Fuzzy Optimization and Decision Making, Journal of Intelligence Systems, Asian Journal of Social and Economic Sciences, a member of the advisory board of Granular Computing, and also a member of Editorial Boards of more than thirty professional journals. He has been selected as ‘The World's Most Influential Scientific Minds (2014–2016)’ and ‘Thomson Reuters Highly Cited Researcher (2014–2016)’, ‘Most Cited Chinese Researchers’ (Ranked first in Computer Science, 2014 and 2015, Released by Elsevier). His current research interests include fuzzy sets, fuzzy decision-making, computing with words, aggregation operators, preference relations, etc.
Sohail Zafar
Sohail Zafar received the B.S. degree from Department of Mathematics, Punjab University Lahore, Pakistan, in 2008. He received the Ph.D. degree in 2013 from Abdus Salam school of Mathematical sciences, Lahore, Pakistan. Since 2013, he has been with the University of Management and Technology (UMT), Lahore, Pakistan and is currently an associate professor of UMT. Since the 1st UMT international conference on pure and applied mathematics, he has been the conference sectary of all the conferences held in UMT related to mathematics. His research interests include computational algebra, graph theory, cryptography and fuzzy mathematics.