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8 results on '"finite ordinal scales"'

1. Fuzzy expert system for solving lost circulation problem.

Author

Sheremetov, Leonid, Batyrshin, Ildar, Filatov, Denis, Martinez, Jorge, and Rodriguez, Hector

Subjects
INFORMATION storage & retrieval systems, DECISION support systems, MATHEMATICAL analysis, ARTIFICIAL intelligence
Abstract

Abstract: Lost circulation is the most common problem encountered while drilling oil wells. This paper describes a distributed fuzzy expert system, called Smart-Drill, aimed in helping petroleum engineers to diagnose and solve lost circulation problems. To represent and manipulate perception-based evaluations of uncertainties of facts and rules, the expert system uses an uncertainty model with qualitative scales of plausibility values and multi-set-based fuzzy algebra of strict monotonic operations. Its realization in inference procedures permits taking into account the change of plausibility of premises in expert systems rules. Original tools like CAPNET Expert System Shell, Knowledge Acquisition Tool and WITSML Converter implementing the proposed model were used for the development of the Smart-Drill. Overall, the system architecture is discussed and implementation details are provided. Both desktop and Web-based implementations permit petroleum engineers benefit from the system working out in the field. The system is currently at field testing phase in PEMEX, Mexican Oil Company. [Copyright &y& Elsevier]

Published
2008
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3. Agrégation sur des échelles ordinales finies par des fonctions indépendantes des échelles

Author

Jean-Luc Marichal, Radko Mesiar, University of Luxembourg - UL [sponsor], and David M. Kennedy Center for International Studies, Brigham Young University, USA [sponsor]

Subjects
Invariant function, smooth discrete functions, Scale (descriptive set theory), fusion d’informations, Continuity property, fonctions ordinales invariantes, échelles ordinales finies, Méthodes quantitatives en économie & gestion [B09] [Sciences économiques & de gestion], fonctions d’agrégation, information fusion, Applied mathematics, Order (group theory), order invariant functions, Scale independence, Finite set, aggregation functions, Mathematics, Discrete mathematics, Algebra and Number Theory, Aggregate (data warehouse), Quantitative methods in economics & management [B09] [Business & economic sciences], finite ordinal scales, Identification (information), lattice polynomials, Computational Theory and Mathematics, Mathematics [G03] [Physical, chemical, mathematical & earth Sciences], Geometry and Topology, Mathématiques [G03] [Physique, chimie, mathématiques & sciences de la terre], fonctions discrètes lisses
Abstract

Nous donnons une interprétation des fonctions ordinales invariantes comme fonctions indépendantes des échelles pour l’agrégation sur des échelles ordinales finies. Plus précisément, nous montrons comment les fonctions ordinales invariantes agissent, à travers des représentants discrets, sur des échelles ordinales représentées par des chaînes finies. En particulier, cette interprétation permet de justifier d’une façon naturelle la propriété de continuité pour certaines fonctions ordinales invariantes. We give an interpretation of order invariant functions as scale independent functions for the aggregation on finite ordinal scales. More precisely, we show how order invariant functions can act, through discrete representatives, on ordinal scales represented by finite chains. In particular, this interpretation allows us to justify the continuity property for certain order invariant functions in a natural way.

Published
2004

4. Aggregation on finite ordinal scales (Tutorial)

Author

Marichal, Jean-Luc, Brigham Young University, Utah (USA) [sponsor], and University of Luxembourg - UL [sponsor]

Subjects
lattice polynomials, Méthodes quantitatives en économie & gestion [B09] [Sciences économiques & de gestion], smooth discrete functions, order invariant functions, Mathematics [G03] [Physical, chemical, mathematical & earth Sciences], Mathématiques [G03] [Physique, chimie, mathématiques & sciences de la terre], Quantitative methods in economics & management [B09] [Business & economic sciences], aggregation functions, finite ordinal scales
Abstract

We give an interpretation of order invariant functions as scale independent functions for the aggregation on ¯nite ordinal scales. More precisely, we show how order invariant functions can act, through discrete representatives, on ordinal scales represented by finite chains. In particular, this interpretation allows us to justify the continuity property for certain order invariant functions in a natural way.

Published
2003

5. Agrégation sur des échelles ordinales finies par des fonctions indépendantes des échelles

Author

University of Luxembourg - UL [sponsor], Marichal, Jean-Luc, Mesiar, Radko, University of Luxembourg - UL [sponsor], Marichal, Jean-Luc, and Mesiar, Radko

Abstract

Nous donnons une interprétation des fonctions ordinales invariantes comme fonctions indépendantes des échelles pour l’agrégation sur des échelles ordinales finies. Plus précisément, nous montrons comment les fonctions ordinales invariantes agissent, à travers des représentants discrets, sur des échelles ordinales représentées par des chaînes finies. En particulier, cette interprétation permet de justifier d’une façon naturelle la propriété de continuité pour certaines fonctions ordinales invariantes., We give an interpretation of order invariant functions as scale independent functions for the aggregation on finite ordinal scales. More precisely, we show how order invariant functions can act, through discrete representatives, on ordinal scales represented by finite chains. In particular, this interpretation allows us to justify the continuity property for certain order invariant functions in a natural way.

Published
2004

6. Aggregation on finite ordinal scales by scale independent functions

Author

University of Luxembourg - UL [sponsor], Marichal, Jean-Luc, Mesiar, Radko, University of Luxembourg - UL [sponsor], Marichal, Jean-Luc, and Mesiar, Radko

Abstract

We give an interpretation of order invariant functions as scale independent functions for the aggregation on finite ordinal scales. More precisely, we show how order invariant functions can act, through discrete representatives, on ordinal scales represented by finite chains. In particular, this interpretation allows us to justify the continuity property for certain order invariant functions in a natural way.

Published
2004

7. Aggregation on finite ordinal scales by scale independent functions

Author

David M. Kennedy Center for International Studies, Brigham Young University, USA [sponsor], University of Luxembourg - UL [sponsor], Marichal, Jean-Luc, Mesiar, Radko, David M. Kennedy Center for International Studies, Brigham Young University, USA [sponsor], University of Luxembourg - UL [sponsor], Marichal, Jean-Luc, and Mesiar, Radko

Abstract

We define and investigate the scale independent aggregation functions that are meaningful to aggregate finite ordinal numerical scales. Here scale independence means that the functions always have discrete representatives when the ordinal scales are considered as totally ordered finite sets. We also show that those scale independent functions identify with the so-called order invariant functions, which have been described recently. In particular, this identification allows us to justify the continuity property for certain order invariant functions in a natural way.

Published
2004

8. Aggregation on finite ordinal scales (Tutorial)

Author

Brigham Young University, Utah (USA) [sponsor], University of Luxembourg - UL [sponsor], Marichal, Jean-Luc, Brigham Young University, Utah (USA) [sponsor], University of Luxembourg - UL [sponsor], and Marichal, Jean-Luc

Abstract

We give an interpretation of order invariant functions as scale independent functions for the aggregation on ¯nite ordinal scales. More precisely, we show how order invariant functions can act, through discrete representatives, on ordinal scales represented by finite chains. In particular, this interpretation allows us to justify the continuity property for certain order invariant functions in a natural way.

Published
2003

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