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Fuzzy Sets and Systems
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Reducing fuzzy relation equations via concept lattices

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jul 2023Embargo end date: 01 Jan 2024 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 463, page 108,465 (issn: 0165-0114, Copyright policy )
Authors: David Lobo; Víctor López-Marchante; Jesús Medina 0001;

doi: 10.1016/j.fss.2022.12.021 , 10.48550/arxiv.2410.05728

arXiv: 2410.05728

Reducing fuzzy relation equations via concept lattices

Abstract

This paper has taken into advantage the relationship between Fuzzy Relation Equations (FRE) and Concept Lattices in order to introduce a procedure to reduce a FRE, without losing information. Specifically, attribute reduction theory in property-oriented and object-oriented concept lattices has been considered in order to present a mechanism for detecting redundant equations. As a first consequence, the computation of the whole solution set of a solvable FRE is reduced. Moreover, we will also introduce a novel method for computing approximate solutions of unsolvable FRE related to a (real) dataset with uncertainty/imprecision data.

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Keywords

FOS: Computer and information sciences, Artificial Intelligence (cs.AI), attribute reduction, Knowledge representation, Computer Science - Artificial Intelligence, redundant information, concept lattices, Reasoning under uncertainty in the context of artificial intelligence, fuzzy relation equations

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    popularity
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    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Average
Top 10%
Green