Some properties of overlap and grouping functions and their application to image thresholding

“…We must point out that in this work we apply t-norms to compute this step but functions satisfying different properties could be used, like overlap functions that are non-associative [22,23,24]. 2.…”

Section: A Fuzzy Reasoning Methods Based On the Use Of The Choquet Intmentioning

confidence: 99%

A new fuzzy reasoning method based on the use of the Choquet integral

Delgado

López-Molina

Cerrón

et al. 2013

Proceedings of the 8th Conference of the European Society for Fuzzy Logic and Technology

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In this work we use the Choquet integral as an aggregation function and we apply it in the fuzzy reasoning method of fuzzy rule-based classification systems. We study the behaviour of several fuzzy measures and we propose a genetic learning method of an appropriate fuzzy measure to model the interaction among the set of rules of each class. In the experimental study we show that the new proposal allows the performance of the fuzzy reasoning method of the winning rule to be outperformed when dealing with classification problems in which several fuzzy rules are fired to classify each example.

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“…In this section, we recall some concepts and properties of bivariate and n-dimensional overlap and grouping functions, which were initially proposed in [2,19] , and that where extended to the ndimensional case in [13].…”

Section: Preliminariesmentioning

confidence: 99%

“…This concept has been applied to some interesting situations, in which it is necessary to know the degree of overlap of objects in two-class classification systems, as the image segmentation problem described in [19] (in which it is necessary to discriminate between object and background) or in the framework of preference relations [3].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Community detection based on grouping and overlapping functions

Gómez¹,

Rodríguez²,

Montero³

et al. 2015

Advances in Intelligent Systems Research

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One of the main challenges of fuzzy community detection problems is to be able to measure the quality of a fuzzy partition. In this paper, we present an alternative way of measure the quality of a fuzzy community detection output based on n-dimensional grouping and overlapping functions that generalize the classical modularity for crisp community detection problems and also for crisp overlapping community detection problems.

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Some properties of overlap and grouping functions and their application to image thresholding

Cited by 173 publications

References 25 publications

Some properties of implications via aggregation functions and overlap functions

Some properties of implications via aggregation functions and overlap functions

A new fuzzy reasoning method based on the use of the Choquet integral

Fuzzy Community detection based on grouping and overlapping functions

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