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Journal Articles Fuzzy Sets and Systems Year : 2015

Non-additive interval-valued F-transform

Olivier Strauss


This article proposes a new interval-valued fuzzy transform. Its construction is based on a possibilistic interpretation of the partition on which the fuzzy transform is built. The main advantage of this approach is that it provides specific interval valued functions whose interpretation is straightforward. This interpretation relates to a traditional sampling/reconstruction framework where little is known about the sampling and/or reconstructing kernels. Numerous properties of the proposed approach are proved that could be useful for function analysis and comparison. In the experimental section, we illustrate some properties of the proposed transform while highlighting interesting features of the obtained framework.

Dates and versions

lirmm-01278065 , version 1 (23-02-2016)



Olivier Strauss. Non-additive interval-valued F-transform. Fuzzy Sets and Systems, 2015, 270, pp.1-24. ⟨10.1016/j.fss.2014.08.006⟩. ⟨lirmm-01278065⟩
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