Similarity measures, penalty functions, and fuzzy entropy from new fuzzy subsethood measures

H Santos, I Couso, B Bedregal, Z Takáč… - … Journal of Intelligent …, 2019 - Wiley Online Library
In this study, we discuss a new class of fuzzy subsethood measures between fuzzy sets. We
propose a new definition of fuzzy subsethood measure as an intersection of other …

A new class of fuzzy subsethood measures

HS Santos - 2016 - repositorio.ufrn.br
The idea of inclusion for fuzzy sets was firstly introduced by L. Zadeh in 1965 and since then
many other studies proposed alternatives to indicate a degree to which a fuzzy set is …

[PDF][PDF] Fuzzy entropy from weak fuzzy subsethood measures

M Galar, H Bustince, J Fernandez, J Sanz, G Beliakov - 2010 - dro.deakin.edu.au
In this paper, we propose a new construction method for fuzzy and weak fuzzy subsethood
measures based on the aggregation of implication operators. We study the desired …

Weak fuzzy S-subsethood measures: Overlap index

H Bustince, E Barrenechea, M Pagola… - International Journal of …, 2006 - World Scientific
Starting from the definitions of the weak fuzzy subsethood measure (VR Young, Fuzzy
subsethood. Fuzzy Sets and Systems, 77 (1996) 371–384) and of strong fuzzy inclusion,(D …

Definition and construction of fuzzy DI-subsethood measures

H Bustince, V Mohedano, E Barrenechea, M Pagola - Information Sciences, 2006 - Elsevier
In this paper we study a method of construction of the fuzzy subsethood measures of VR
Young [VR Young, Fuzzy subsethood, Fuzzy Sets and Systems 77 (1996) 371–384] and the …

New subsethood measures and similarity measures of fuzzy sets

H Guoshun, L Yunsheng - Proceedings. 2005 International …, 2005 - ieeexplore.ieee.org
In this paper, two existing subsethood measures are reviewed at first. An example is given to
show that they are not coincident with the l/sup p/-distance in describing the degree of …

Cosine entropy and similarity measures for fuzzy sets

R Verma - Konuralp Journal of Mathematics, 2015 - dergipark.org.tr
In the present paper, based on the cosine function, a new fuzzy entropy measure is de ned.
Some interesting properties of this measure are analyzed. Furthermore, a new fuzzy …

[PDF][PDF] Design of Similarity and Dissimilarity Measures for Fuzzy Sets on the Basis of Distance Measure.

SH Lee, W Pedrycz, G Sohn - International Journal of Fuzzy Systems, 2009 - mdpi.org
Abstract 1 In this paper, we survey the relationship between the similarity measure and
dissimilarity measure for fuzzy sets. First, we design a similarity measure using a distance …

Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations

W Zeng, H Li - International Journal of Intelligent Systems, 2006 - Wiley Online Library
The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three
important measures in fuzzy set theory. In this article, we investigate the relations among …

Monotonic similarity measures between fuzzy sets and their relationship with entropy and inclusion measure

G Deng, Y Jiang, J Fu - Fuzzy sets and systems, 2016 - Elsevier
The aim of this study is to investigate the monotonicity properties of similarity measures.
Through analyzing the intuitions about similarities, three kinds of monotonic similarity …