Paper Info
Title
Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders
Abstract
In this work we study a new class of similarity measures between interval-valued fuzzy sets. The novelty of our approach lays, firstly, on the fact that we develop all the notions with respect to total orders of intervals; and secondly, on that we consider the width of intervals so that the uncertainty of the output is strongly related to the uncertainty of the input. For constructing the new interval-valued similarity, interval valued aggregation functions and interval-valued restricted equivalence functions which take into account the width of the intervals are needed, so we firstly study these functions, both in line with the two above stated features. Finally, we provide an illustrative example which makes use of an interval-valued similarity measure in stereo image matching and we show that the results obtained with the proposed interval-valued similarity measures improve numerically (according to the most widely used measures in the literature) the results obtained with interval valued similarity measures which do not consider the width of the intervals.
Year
DOI
Venue
2020
10.1016/j.fss.2019.04.002
Fuzzy Sets and Systems
Keywords
DocType
Volume
Interval-valued fuzzy sets,Admissible order,Total order,Interval-valued similarity measure,Equivalence and restricted equivalence functions,Interval-valued aggregation function
Journal
390
ISSN
Citations 
PageRank 
0165-0114
3
0.37
References 
Authors
0
6
Name
Order
Citations
PageRank
Humberto Bustince11938134.10
Cédric Marco-Detchart2155.80
Javier Fernandez378246.37
Christian Wagner45618.39
J. M. Garibaldi51425146.38
Zdenko Takác6809.52