Title
Interval-valued fuzzy strong S-subsethood measures, interval-entropy and P-interval-entropy.
Abstract
In this paper, we introduce the concept of fuzzy interval-entropy. The main feature of this new entropy is that the provided value is a closed subinterval of [0, 1]. This fact has led us to define interval-valued fuzzy strong S-subsethood measures which we use to build fuzzy interval-entropies. As we require that the results of both measures are intervals, we should work with total orders to be able to compare the results. The problem of finding equilibrium points for interval-valued negations with respect to total orders has led us to introduce and study the concept of P-interval-entropy. Finally, in an illustrative example, we discuss an application of the different concepts we have considered. We also compare our results to those obtained in our application where we use the classical interval-valued entropy, which provides a real number instead of an interval as its result, as we know.
Year
DOI
Venue
2018
10.1016/j.ins.2017.12.015
Information Sciences
Keywords
Field
DocType
Subsethood measure,Fuzzy entropy,Admissible order,Total order,Image segmentation,Interval-valued fuzzy set
Applied mathematics,Discrete mathematics,Negation,Fuzzy logic,Equilibrium point,Fuzzy entropy,Image segmentation,Real number,Mathematics
Journal
Volume
ISSN
Citations 
432
0020-0255
3
PageRank 
References 
Authors
0.37
23
6
Name
Order
Citations
PageRank
Zdenko Takác1809.52
Maria Minárová241.39
Javier Montero389677.44
Edurne Barrenechea479928.69
Javier Fernandez578246.37
Humberto Bustince61938134.10