Air Defense Threat Evaluation using Fuzzy Bayesian Classifier

Wei Mei

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Paper

Air Defense Threat Evaluation using Fuzzy Bayesian Classifier

Topics: Approximate Reasoning and Fuzzy Inference; Fuzzy Information Processing, Fusion, Text Mining; Pattern Recognition: Fuzzy Clustering and Classifiers

In Proceedings of the 5th International Joint Conference on Computational Intelligence - Volume 0IJCCI, 227-232, 2013 , Vilamoura, Algarve, Portugal

Author: Wei Mei

Affiliation: Shijiazhuang Mech. Engr. College, China

Keyword(s): Fuzzy Systems, Bayesian, Conditional Probability, Likelihood, Threat Evaluation.

Related Ontology Subjects/Areas/Topics: Approximate Reasoning and Fuzzy Inference ; Artificial Intelligence ; Computational Intelligence ; Fuzzy Information Processing, Fusion, Text Mining ; Fuzzy Systems ; Pattern Recognition: Fuzzy Clustering and Classifiers ; Soft Computing

Abstract: The connection between probability and fuzzy sets has been investigated among the community of approximate reasoning for decades. A typical viewpoint is that the grade of membership could be interpreted as a conditional probability. This note extend this viewpoint a step further by introducing the concepts of conditional probability mass function (CPMF) and the likelihood mass function (LMF). We draw the conclusion that conditional probability can be used for describing either randomness or fuzziness depending on how it is interpreted. If expanded to CPMF, then it can be used for modelling randomness; if expanded to LMF, then it can be a useful expression for modelling fuzziness. A fuzzy Bayesian theorem is derived based on the fuzziness interpretation of conditional probability. Its successful application to an example of target recognition demonstrates that the proposed fuzzy Bayesian theorem provides alternative approach for handling uncertainty.

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Paper citation in several formats:

Mei, W. (2013). Air Defense Threat Evaluation using Fuzzy Bayesian Classifier. In Proceedings of the 5th International Joint Conference on Computational Intelligence (IJCCI 2013) - FCTA; ISBN 978-989-8565-77-8; ISSN 2184-3236, SciTePress, pages 227-232. DOI: 10.5220/0004512602270232

@conference{fcta13,
author={Wei Mei.},
title={Air Defense Threat Evaluation using Fuzzy Bayesian Classifier},
booktitle={Proceedings of the 5th International Joint Conference on Computational Intelligence (IJCCI 2013) - FCTA},
year={2013},
pages={227-232},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004512602270232},
isbn={978-989-8565-77-8},
issn={2184-3236},
}

TY - CONF

JO - Proceedings of the 5th International Joint Conference on Computational Intelligence (IJCCI 2013) - FCTA
TI - Air Defense Threat Evaluation using Fuzzy Bayesian Classifier
SN - 978-989-8565-77-8
IS - 2184-3236
AU - Mei, W.
PY - 2013
SP - 227
EP - 232
DO - 10.5220/0004512602270232
PB - SciTePress