Fuzzy handling of measurement errors in instrumentation

Mauris, Gilles; Berrah, Lamia; Foulloy, Laurent; Haurat, A.

doi:10.1109/imtc.1997.610184

Cited by 40 publications

(13 citation statements)

References 22 publications

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“…The histogram must then be transformed into a possibility distribution. The latter can be built using either a probability-possibility transformation (Dubois et al, 2004) or directly from statistical overlapped intervals (Mauris et al, 2000). The latter approach is adapted in the context of the application where the customers' evaluations are expressed with stars translated into score-bounded intervals.…”

Section: Possibilistic Frameworkmentioning

confidence: 99%

“…In fact, our proposition is based on the fact that a possibility distribution p (with P the associated possibility measure and N the associated necessity measure) defines a family of probability distributions P that it dominates i.e., "A & R, N(A) 6 P(A) 6 P(A). Thus it can represent situations where P is not precisely known, but only in an approximate way (Mauris et al, 2000).…”

Section: Possibilistic Frameworkmentioning

confidence: 99%

“…For example, to a score of 2.25 stars/bars, we consider that we can indifferently associate a numerical value from 5 to 9 according to the customer' scale. This set of overlapped intervals is then approximated by a possibility distribution according to a method developed by Dubois and Prade (1988) and previously applied in Mauris et al (2000).…”

Section: Possibilistic Frameworkmentioning

confidence: 99%

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A possibilistic-valued multi-criteria decision-making support for marketing activities in e-commerce: Feedback Based Diagnosis System

Denguir-Rekik

Montmain

Mauris

2009

European Journal of Operational Research

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In this paper we propose a multi-criteria decision making support system, called a ''Feedback Based Diagnosis System" (FBDS), to aid the marketing team of an e-commerce (EC) organisation in its activities. The FBDS database is composed of customers' satisfaction measures. These measures are related to the different services an EC offers to its customers. Thus, they constitute a multi-criteria (MC) evaluation of EC performances. In the general framework of recommender systems, these available MC evaluations are considered as useful information for other customers to help them to objectively, rationally and exhaustively assess and compare the numerous ECs among the ones likely to meet their needs. Our FBDS is not concerned with improving or automating such a recommendation process for customers. Indeed, it is merely EC management team oriented. In fact, the MC feedback database is used to diagnose the EC health and improve its strategy. In the proposed FBDS, a possibilistic framework is combined with the multi criteria representation to capture the variability and the divergence of customers' evaluations w.r.t. each criterion. Then, an aggregation based on a weighted arithmetic mean (WAM) is proposed to obtain a synthetic appraisal of ECs. The WAM aggregation models the strategy agreed on by the EC management team. Computing the synthesis score of an EC consists in propagating the uncertainty related to its partial scores through the WAM. The possibilistic representation guarantees that no information is lost in the collective evaluation process by the consumers' community. However, diagnosis indicators are finally proposed to the marketing team to make the interpretation of some possibilistic results more comprehensive when necessary.

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Section: Possibilistic Frameworkmentioning

confidence: 99%

Section: Possibilistic Frameworkmentioning

confidence: 99%

Section: Possibilistic Frameworkmentioning

confidence: 99%

See 1 more Smart Citation

A possibilistic-valued multi-criteria decision-making support for marketing activities in e-commerce: Feedback Based Diagnosis System

Denguir-Rekik

Montmain

Mauris

2009

European Journal of Operational Research

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“…. (6). Also in this case a correlation factor r = 1 is taken for gain and offset affecting each acquired sample, whereas r = 0 is assumed for the effect of noise + quantization since it can take different values during the same measurement process.…”

Section: Referencementioning

confidence: 99%

“…The way measurement uncertainty should be expressed and combined is the main problem discussed in the metrology and measurement science [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and several contributions have been recently published [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] in order to overcome the limitations of the GUM [1], which is the present reference document.…”

Section: Introductionmentioning

confidence: 99%

An experimental comparison in the uncertainty estimation affecting wavelet-based signal analysis by means of the IEC-ISO guide and the random-fuzzy approaches

Salicone

Tinarelli

2005

Proceedings of the 2005 IEEE International Workshop on Advanced Methods for Uncertainty Estimation in Measurement

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The aim of this paper is the comparative estimation of the measurement uncertainty associated to the results of complex measurements, such as the evaluation of the wavelet transform of signals affected by transient disturbances. The uncertainty estimation is performed by means of two different methods: the approach suggested by the IEC-ISO "Guide to the Expression of Uncertainty in Measurement" and the one, recently proposed in the literature, based on the use of Random-Fuzzy variables. The comparison is performed starting from actual signals generated and acquired by means of a suitable test system.

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Probability-Possibility Transformations, Triangular Fuzzy Sets, and Probabilistic Inequalities

Dubois

Foulloy²,

Mauris³

et al. 2004

Reliable Computing

498

339

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Abstract.A possibility measure can encode a family of probability measures. This fact is the basis for a transformation of a probability distribution into a possibility distribution that generalises the notion of best interval substitute to a probability distribution with prescribed confidence. This paper describes new properties of this transformation, by relating it with the well-known probability inequalities of Bienaymé-Chebychev and Camp-Meidel. The paper also provides a justification of symmetric triangular fuzzy numbers in the spirit of such inequalities. It shows that the cuts of such a triangular fuzzy number contains the "confidence intervals" of any symmetric probability distribution with the same mode and support. This result is also the basis of a fuzzy approach to the representation of uncertainty in measurement. It consists in representing measurements by a family of nested intervals with various confidence levels. From the operational point of view, the proposed representation is compatible with the recommendations of the ISO Guide for the expression of uncertainty in physical measurement.

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Fuzzy handling of measurement errors in instrumentation

Cited by 40 publications

References 22 publications

A possibilistic-valued multi-criteria decision-making support for marketing activities in e-commerce: Feedback Based Diagnosis System

A possibilistic-valued multi-criteria decision-making support for marketing activities in e-commerce: Feedback Based Diagnosis System

An experimental comparison in the uncertainty estimation affecting wavelet-based signal analysis by means of the IEC-ISO guide and the random-fuzzy approaches

Probability-Possibility Transformations, Triangular Fuzzy Sets, and Probabilistic Inequalities

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