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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 9376531, 8 pages
Research Article

A New Method of Multiattribute Decision-Making Based on Interval-Valued Hesitant Fuzzy Soft Sets and Its Application

1College of Science, Southwest Petroleum University, Chengdu 610500, China
2School of Information and Computation Science, Chengdu Technological University, Chengdu 610500, China

Correspondence should be addressed to Yan Yang

Received 11 April 2017; Revised 9 June 2017; Accepted 19 June 2017; Published 30 July 2017

Academic Editor: Franck Massa

Copyright © 2017 Yan Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Combining interval-valued hesitant fuzzy soft sets (IVHFSSs) and a new comparative law, we propose a new method, which can effectively solve multiattribute decision-making (MADM) problems. Firstly, a characteristic function of two interval values and a new comparative law of interval-valued hesitant fuzzy elements (IVHFEs) based on the possibility degree are proposed. Then, we define two important definitions of IVHFSSs including the interval-valued hesitant fuzzy soft quasi subset and soft quasi equal based on the new comparative law. Finally, an algorithm is presented to solve MADM problems. We also use the method proposed in this paper to evaluate the importance of major components of the well drilling mud pump.