On the suitability of fuzzy models: an evaluation through fuzzy integrals

Siegfried Gottwald; Witold Pedrycz

doi:10.1016/S0020-7373(86)80045-1

On the suitability of fuzzy models: an evaluation through fuzzy integrals

Siegfried Gottwald
, Witold Pedrycz

Department of Measurements and Control Systems (RAU/RAU2)

Leipzig University

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The paper deals with a problem of evaluating the properties of a system on the basis of the corresponding fuzzy model, its properties, and its quality measured by a performance index. It is shown that a grade of satisfaction for a property of the system may be calculated by means of a fuzzy integral with respect to a fuzzy measure, where the latter corresponds to a quantitative representation of the quality of the model constructed. Two properties of wide significance in system analysis, controllability and predictability are studied in detail.

Original language	English
Pages (from-to)	141-151
Number of pages	11
Journal	International Journal of Man-Machine Studies
Volume	24
Issue number	2
DOIs	https://doi.org/10.1016/S0020-7373(86)80045-1
Publication status	Published - 1986

ASJC Scopus subject areas

General Engineering

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10.1016/S0020-7373(86)80045-1

Cite this

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title = "On the suitability of fuzzy models: an evaluation through fuzzy integrals",

abstract = "The paper deals with a problem of evaluating the properties of a system on the basis of the corresponding fuzzy model, its properties, and its quality measured by a performance index. It is shown that a grade of satisfaction for a property of the system may be calculated by means of a fuzzy integral with respect to a fuzzy measure, where the latter corresponds to a quantitative representation of the quality of the model constructed. Two properties of wide significance in system analysis, controllability and predictability are studied in detail.",

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AB - The paper deals with a problem of evaluating the properties of a system on the basis of the corresponding fuzzy model, its properties, and its quality measured by a performance index. It is shown that a grade of satisfaction for a property of the system may be calculated by means of a fuzzy integral with respect to a fuzzy measure, where the latter corresponds to a quantitative representation of the quality of the model constructed. Two properties of wide significance in system analysis, controllability and predictability are studied in detail.

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On the suitability of fuzzy models: an evaluation through fuzzy integrals

Abstract

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