Abstract
This paper presents a generalized Type-1 Fuzzy Logic engine to test statistical hypothesis on means by using standardized data samples to simplify the rule base. This inference engine attempts to test hypothesis on imprecise means, being an alternative to reject or accept the hypothesis via a fulfillment degree. To do so, an application example is provided and compared against classical tests to verify their results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Huber, P.: Robust Statistics. John Wiley and Sons, New York (1981)
Mood, A.M., Graybill, F.A., Boes, D.C.: Introduction to the Theory of Statistics. McGraw-Hill Book Company, New York (1974)
Wilks, A.: Mathematical Statistics. John Wiley and Sons, Chichester (1962)
Buckley, J.J.: Fuzzy Probability and Statistics. Springer, Heidelberg (2004)
Buckley, J.J.: Fuzzy statistics: hypothesis testing. Soft Computing - A Fusion of Foundations, Methodologies and Applications 9(7), 512–518 (2005)
Mohammadpuor, A., Mahammad.Djafari, A.: On Classical, Bayesian and Fuzzy Hypothesis Testing. Metrika 17(2), 348–354 (2004)
Arnold, B.: An approach to fuzzy hypothesis testing. Metrika 44(2), 119–126 (1996)
Montgomery, D.: Analysis and Design of Experiments. John Wiley and Sons, Chichester (2006)
Mendel, J.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice Hall, Englewood Cliffs (1994)
Klir, G., Folger, T.: Fuzzy Sets, Uncertainty and Information. Prentice Hall, Englewood Cliffs (1992)
Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, Englewood Cliffs (1995)
Melgarejo, M., Garcia, R., Peña, C.: Pro-two: A hardware based platform for real time type-2 fuzzy inference. In: IEEE Intl. Conf. on Fuzzy Systems, pp. 977–982 (2004)
Melgarejo, M.A.: Implementing Interval Type-2 Fuzzy processors. IEEE Computational Intelligence Magazine 2(1), 63–71 (2007)
Liu, Y.K., Liu, B.: Fuzzy random variables: A scalar expected value operator. Fuzzy Optimization and Decision Making 2(2), 143–160 (2003)
Carmer, S., Swanson, M.: Evaluation of ten pairwise multiple comparison procedures by monte carlo methods. Journal of the ASA 68(314), 66–74
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Figueroa García, J.C., Soriano Mendez, J.J. (2008). A Fuzzy Logic Approach to Test Statistical Hypothesis on Means. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2008. Lecture Notes in Computer Science(), vol 5227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85984-0_39
Download citation
DOI: https://doi.org/10.1007/978-3-540-85984-0_39
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85983-3
Online ISBN: 978-3-540-85984-0
eBook Packages: Computer ScienceComputer Science (R0)