An Analytical Approach to Evaluating Bivariate Functions of Fuzzy Numbers with One Local Extremum

Arthur Seibel; Josef Schlattmann

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Paper

An Analytical Approach to Evaluating Bivariate Functions of Fuzzy Numbers with One Local Extremum

Topics: Fuzzy Information Processing, Fusion, Text Mining

In Proceedings of the International Conference on Fuzzy Computation Theory and Applications - Volume 0IJCCI, 89-94, 2014 , Rome, Italy

Authors: Arthur Seibel and Josef Schlattmann

Affiliation: Hamburg University of Technology, Germany

Keyword(s): Parameter Uncertainties, Bivariate Functions, Fuzzy Numbers, Analytical Fuzzy Calculus.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Information Processing, Fusion, Text Mining ; Fuzzy Systems ; Soft Computing

Abstract: This paper presents a novel analytical approach to evaluating continuous, bivariate functions of independent fuzzy numbers with one local extremum. The approach is based on a parametric a-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

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Paper citation in several formats:

Seibel, A. and Schlattmann, J. (2014). An Analytical Approach to Evaluating Bivariate Functions of Fuzzy Numbers with One Local Extremum. In Proceedings of the International Conference on Fuzzy Computation Theory and Applications (IJCCI 2014) - FCTA; ISBN 978-989-758-053-6, SciTePress, pages 89-94. DOI: 10.5220/0005026500890094

@conference{fcta14,
author={Arthur Seibel. and Josef Schlattmann.},
title={An Analytical Approach to Evaluating Bivariate Functions of Fuzzy Numbers with One Local Extremum},
booktitle={Proceedings of the International Conference on Fuzzy Computation Theory and Applications (IJCCI 2014) - FCTA},
year={2014},
pages={89-94},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005026500890094},
isbn={978-989-758-053-6},
}

TY - CONF

JO - Proceedings of the International Conference on Fuzzy Computation Theory and Applications (IJCCI 2014) - FCTA
TI - An Analytical Approach to Evaluating Bivariate Functions of Fuzzy Numbers with One Local Extremum
SN - 978-989-758-053-6
AU - Seibel, A.
AU - Schlattmann, J.
PY - 2014
SP - 89
EP - 94
DO - 10.5220/0005026500890094
PB - SciTePress