2017
DOI: 10.1016/j.engappai.2017.08.009
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Ordered weighted aggregation of fuzzy similarity relations and its application to detecting water treatment plant malfunction

Abstract: Ordered weighted aggregation procedures have been introduced in many applications with promising results. In this paper, an innovative approach for ordered weighted aggregation of fuzzy relations is proposed. It allows the integration of component relations generated from different perspectives of a certain observation to form an overall fuzzy relation, deriving a useful similarity measure for observed data points. Two types of aggregation are investigated: a) min/max operators are employed for the aggregation… Show more

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Cited by 17 publications
(7 citation statements)
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References 51 publications
(54 reference statements)
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“…Positions of the particles in the first generation are initialised with the rule weights obtained by the use of Eqs. (5), (7) and (8). Particles are then iteratively modified towards the best solution with regard to a given quality measure over the set of rule weights.…”
Section: Optimisation Of Weighted Fuzzy Rules With Particle Swarm mentioning
confidence: 99%
See 1 more Smart Citation
“…Positions of the particles in the first generation are initialised with the rule weights obtained by the use of Eqs. (5), (7) and (8). Particles are then iteratively modified towards the best solution with regard to a given quality measure over the set of rule weights.…”
Section: Optimisation Of Weighted Fuzzy Rules With Particle Swarm mentioning
confidence: 99%
“…Fuzzy rule induction forms a major approach to learning robust interpretable knowledge models. Indeed, many techniques (e.g., [5], [6], [7], [8], [9], [10]) have been proposed for learning fuzzy if-then rules from numerical data. Apart from being of fault tolerance and error resilience in the face of noisy and imprecise data, which fits the requirements of building effective IDSs, fuzzy models also allow for enhanced transparency in both the learned models themselves and the inferences performed with the resulting models [11].…”
Section: Introductionmentioning
confidence: 99%
“…Many methods [15,16,17] have been successfully developed in the framework of fuzzy set theory, among which, fuzzy cmeans allows an object belonging to differen clusters to various degrees, overcoming boolean boundaries that are often not natural or even counterintuitive. Each cluster in a fuzzy partition π is a fuzzy set C k , k = 1, · · · , K where C k (x t ) ∈ [0, 1] represents the degree of a data point x t ∈ X belonging to the corresponding fuzzy cluster.…”
Section: Preliminaries Of Fuzzy Clustering Ensemblementioning
confidence: 99%
“…is the degree to which the objects x i and x j are similar for the feature a ∈ A. Many similarity relations [21] can be constructed for this purpose, for example:…”
Section: Introductionmentioning
confidence: 99%