Information Measures for Hesitant Fuzzy Sets and Their Extensions by Bahram Farhadinia & Zeshui Xu

Author:Bahram Farhadinia & Zeshui Xu
Language: eng
Format: epub
ISBN: 9789811337291
Publisher: Springer Singapore

In many multiple attribute decision making problems, an attribute usually has different importance compared to the others. Moreover, a DHFS has two types of degrees which are known as the membership degree and the non-membership degree. These two types of degrees have different importance that causes the decision maker to consider different weights for assigning to each element in each degree.

Singh [19] supposed that for each , is to be the weight of the element with and which is assigned to the membership degree , and is the weight of the element with and which is assigned to the non-membership degree . In this regard, we are in a position to present the weighted distance measures for DHFSs (see Singh [19]):The generalized dual hesitant weighted distance:

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