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The Scientific World Journal
Volume 2014, Article ID 304834, 8 pages
Research Article

Multicriteria Group Decision Making by Using Trapezoidal Valued Hesitant Fuzzy Sets

Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, Block-B, Faisal Town, Lahore, Pakistan

Received 15 April 2014; Revised 25 June 2014; Accepted 4 July 2014; Published 14 July 2014

Academic Editor: Wei-Jen Wang

Copyright © 2014 Tabasam Rashid and Syed Muhammad Husnine. 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.


The concept of trapezoidal valued hesitant fuzzy set is introduced. Notion for distance between any two trapezoidal valued hesitant fuzzy elements is given. Using this proposed distance measure, we extend the technique for order preference by similarity to ideal solution for trapezoidal valued hesitant fuzzy sets. An example is constructed to show usefulness of this extension for multicriteria group decision making, where the opinions about the criteria values are expressed as trapezoidal valued hesitant fuzzy set.