Decomposition theorems and extension principles for hesitant fuzzy sets
Abstract
We prove a decomposition theorem for hesitant fuzzy sets, which states that every typical hesitant fuzzy set on a set can be represented by a well-structured family of fuzzy sets on that set. This decomposition is expressed by the novel concept of hesitant fuzzy set associated with a family of hesitant fuzzy sets, in terms of newly defined families of their cuts. Our result supposes the first representation theorem of hesitant fuzzy sets in the...
Paper Details
Title
Decomposition theorems and extension principles for hesitant fuzzy sets
Published Date
May 1, 2018
Journal
Volume
41
Pages
48 - 56
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