REPRESENTATION THEOREM FOR FUZZY FUNCTIONS
 - Graded Form

Martina Daňková

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Paper

REPRESENTATION THEOREM FOR FUZZY FUNCTIONS - Graded Form

Topics: Approximate Reasoning and Fuzzy Inference; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic

In Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation - Volume 0IJCCI, 56-64, 2010 , Valencia, Spain

Author: Martina Daňková

Affiliation: University of Ostrava, Czech Republic

Keyword(s): Fuzzy function, Extensionality, Functionality, Fuzzy rules, Approximate reasoning.

Related Ontology Subjects/Areas/Topics: Approximate Reasoning and Fuzzy Inference ; Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: In this contribution, we will extend results relating to representability of a fuzzy function using a crisp function. And additionally, we show for which functions there exist fuzzy function of a specific form. Our notion of fuzzy function has a graded character. More precisely, any fuzzy relation has a property of being a fuzzy function that is expressed by a truth degree. And it consists of two natural properties: extensionality and functionality. We will also provide a separate study of these two properties.

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Paper citation in several formats:

Daňková, M. (2010). REPRESENTATION THEOREM FOR FUZZY FUNCTIONS - Graded Form. In Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation (IJCCI 2010) - ICFC; ISBN 978-989-8425-32-4, SciTePress, pages 56-64. DOI: 10.5220/0003080900560064

@conference{icfc10,
author={Martina Daňková.},
title={REPRESENTATION THEOREM FOR FUZZY FUNCTIONS - Graded Form},
booktitle={Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation (IJCCI 2010) - ICFC},
year={2010},
pages={56-64},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003080900560064},
isbn={978-989-8425-32-4},
}

TY - CONF

JO - Proceedings of the International Conference on Fuzzy Computation and 2nd International Conference on Neural Computation (IJCCI 2010) - ICFC
TI - REPRESENTATION THEOREM FOR FUZZY FUNCTIONS - Graded Form
SN - 978-989-8425-32-4
AU - Daňková, M.
PY - 2010
SP - 56
EP - 64
DO - 10.5220/0003080900560064
PB - SciTePress