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DIGITAL.CSIC
Article . 2018 . Peer-reviewed
Data sources: DIGITAL.CSIC
DBLP
Article . 2020
Data sources: DBLP
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A MULTICRITERIA SYSTEM USING GRADUAL FUZZY RULES AND FUZZY ARITHMETIC

Authors: Sandri, Sandra; Sibertin-Blanc, Christophe;

A MULTICRITERIA SYSTEM USING GRADUAL FUZZY RULES AND FUZZY ARITHMETIC

Abstract

We present a multicriteria fuzzy system that uses fuzzy gradual rules bases to model the user's preferences and fuzzy arithmetic to aggregate the results issued by the bases. We first present a multicriteria problem and its solution for the case of precise information. Then we extend the model to treat pieces of information that may involve imprecision/vagueness. We show that the use of residuated implication operators (employed by gradual rules), coupled with similarity relations (to guarantee consistency), offer a better treatment of the problem than a Mamdani-like approach. We illustrate the various features of the system by means of a simple example and describe an application of the formalism to social games.

Country
Spain
Keywords

Extension principle, Multicriteria decision making, Residuated implication operators, Similarity relations, Fuzzy gradual rules

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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!
views
OpenAIRE UsageCountsViews provided by UsageCounts
downloads
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3
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17
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