Title | ||
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Interval-valued fuzzy strong S-subsethood measures, interval-entropy and P-interval-entropy. |
Abstract | ||
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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 |
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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 Takác | 1 | 80 | 9.52 |
Maria Minárová | 2 | 4 | 1.39 |
Javier Montero | 3 | 896 | 77.44 |
Edurne Barrenechea | 4 | 799 | 28.69 |
Javier Fernandez | 5 | 782 | 46.37 |
Humberto Bustince | 6 | 1938 | 134.10 |