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Testing Fuzzy Hypotheses with Fuzzy Data and Defuzzification of the Fuzzy p-value by the Signed Distance Method

Topics: Applications: Fuzzy Systems in Robotics, Fuzzy Image, Speech and Signal Processing, Vision and Multimedia, Pattern Recognition, Financial and Medical Applications, Fuzzy Information Retrieval and Data Mining, Big Data and Cloud Computing, Industrial and Real World Applications, System Identification and Fault Detection, Natural Language Processing, Security Systems; Approximate Reasoning and Fuzzy Inference; Complex Fuzzy Systems; Fuzzy Databases

Authors: Rédina Berkachy and Laurent Donzé

Affiliation: University of Fribourg, Switzerland

ISBN: 978-989-758-274-5

Keyword(s): Fuzzy P-Value, Fuzzy Statistics, Fuzzy Hypotheses, Fuzzy Data, One-Sided and Two-Sided Tests, Defuzzification, Signed Distance Method.

Related Ontology Subjects/Areas/Topics: Approximate Reasoning and Fuzzy Inference ; Artificial Intelligence ; Complex Fuzzy Systems ; Computational Intelligence ; Fuzzy Systems ; Soft Computing

Abstract: We extend the classical approach of hypothesis testing to the fuzzy environment. We propose a method based on fuzziness of data and on fuzziness of hypotheses at the same time. The fuzzy p-value with its α-cuts is provided and we show how to defuzzify it by the signed distance method. We illustrate our method by numerical applications where we treat a one and a two sided test. For the one-sided test, applying our method to the same data and performing tests on the same significance level, we compare the defuzzified p-values between different cases of null and alternative hypotheses.

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Paper citation in several formats:
Berkachy, R. and Donzé, L. (2017). Testing Fuzzy Hypotheses with Fuzzy Data and Defuzzification of the Fuzzy p-value by the Signed Distance Method.In Proceedings of the 9th International Joint Conference on Computational Intelligence - Volume 1: IJCCI, ISBN 978-989-758-274-5, pages 255-264. DOI: 10.5220/0006500602550264

@conference{ijcci17,
author={Rédina Berkachy. and Laurent Donzé.},
title={Testing Fuzzy Hypotheses with Fuzzy Data and Defuzzification of the Fuzzy p-value by the Signed Distance Method},
booktitle={Proceedings of the 9th International Joint Conference on Computational Intelligence - Volume 1: IJCCI,},
year={2017},
pages={255-264},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006500602550264},
isbn={978-989-758-274-5},
}

TY - CONF

JO - Proceedings of the 9th International Joint Conference on Computational Intelligence - Volume 1: IJCCI,
TI - Testing Fuzzy Hypotheses with Fuzzy Data and Defuzzification of the Fuzzy p-value by the Signed Distance Method
SN - 978-989-758-274-5
AU - Berkachy, R.
AU - Donzé, L.
PY - 2017
SP - 255
EP - 264
DO - 10.5220/0006500602550264

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