[HTML][HTML] QL-operations and QL-implication functions constructed from tuples (O, G, N) and the generation of fuzzy subsethood and entropy measures

GP Dimuro, B Bedregal, H Bustince, A Jurio… - International Journal of …, 2017 - Elsevier
… constructed from tuples ( O , G , N ) are richer than QL-implication functions constructed from
… of QL-implication functions and other classes of fuzzy implication functions constructed from …

Deriving fuzzy subsethood measures from violations of the implication between elements

F Botana - … Conference on Industrial, Engineering and Other …, 1998 - Springer
… other fuzzy implication operators in order to obtain new measures of containment. A lot of
operators have been considered in literature. Since we want the subsethood measure to be …

[HTML][HTML] A study of (T, N)-implications and its use to construct a new class of fuzzy subsethood measure

J Pinheiro, B Bedregal, RHN Santiago… - International Journal of …, 2018 - Elsevier
… -implications, which has been widely investigated. The aim of this work is to study a fuzzy
implication called (T,N)-implicationfunctions preserve the main properties of fuzzy implications, …

On the properties of subsethood measures

M Hu, X Deng, Y Yao - Information Sciences, 2019 - Elsevier
… An evaluation function is widely used to evaluate the degree to which an object satisfies the
… By the left-hand-side condition A 1 ⊆A 2 in (MS), we can imply the inclusion relation of the …

Definition and construction of fuzzy DI-subsethood measures

H Bustince, V Mohedano, E Barrenechea, M Pagola - Information Sciences, 2006 - Elsevier
… We show a way of obtaining such measures from functions of [0, 1] 2 in [0, 1]… implication
operators must fulfill and the aggregation operators used so that our fuzzy subsethood measures

Strong fuzzy subsethood measures and strong equalities via implication functions

D Paternain, H Bustince, J Fernandez, JA Sanz… - 2014 - dro.deakin.edu.au
subsethood in the literature. In Section 4 we present the concept of strong fuzzy subsethood
measure… methods in terms of aggregation functions and implications. Section 6 studies the …

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
subsethood measures between fuzzy sets. We propose a new definition of fuzzy subsethood
measure … construct fuzzy subsethood measures by aggregating fuzzy implication operators …

Subsethood measures for interval-valued fuzzy sets based on the aggregation of interval fuzzy implications

Z Takáč - Fuzzy Sets and Systems, 2016 - Elsevier
subsethood measures for IVFSs based on the interval aggregation of fuzzy interval implications.
… takes an important role in this paper. Galar et al. [5] modified Fan's work and proposed …

Fuzzy subsethood

VR Young - Fuzzy sets and systems, 1996 - Elsevier
… We describe how to generate a subsethood measure from a given … additivity and valuation
constraints for entropy functions [4, 11] … subsethood measures from implication operators so …

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
implication operators. To carry out such a construction, specific properties [3], [12], [16], [24],
[25], [29] are required of the aggregation operators M and the implication … terms of function I. …