Strong fuzzy subsethood measures and strong equalities via implication functions

D Paternain, H Bustince, J Fernandez, JA Sanz… - 2014 - dro.deakin.edu.au
In this work we present the definition of strong fuzzy subsethood measure as a unifiying
concept for the different notions of fuzzy subsethood that can be found in the literature. We …

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 …

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 …

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 …

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 …

Subsethood measures defined by Choquet integrals

LC Jang - International Journal of Fuzzy Logic and Intelligent …, 2008 - koreascience.kr
In this paper, we consider concepts of subsethood measure introduced by Fan et al.[2].
Based on this, we give various subsethood measure defined by Choquet integral with …

Fuzzy subsethood

VR Young - Fuzzy sets and systems, 1996 - Elsevier
Subsethood is an important concept in the area of fuzzy sets. It surfaces in fuzzy entropy, in
the relationship of fuzzy set theory and probability, and in tuning rules in fuzzy logic. Only a …

Construction of fuzzy indices from fuzzy DI-subsethood measures: Application to the global comparison of images

H Bustince, M Pagola, E Barrenechea - Information Sciences, 2007 - Elsevier
Two measures are presented for comparing fuzzy sets. The method for constructing these
measures is studied, starting from fuzzy DI-subsethood measures (see [H. Bustince, V …

[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 …

ƒ-inclusion indexes between fuzzy sets

N Madrid, M Ojeda-Aciego… - 2015 Conference of the …, 2015 - atlantis-press.com
We introduce the notion of f-inclusion, which is used to describe different kinds of
subsethood relations between fuzzy sets by means of monotonic functions ƒ:[0, 1][0, 1]. We …