Abstract
In this paper we introduce one new step in the procedure of the solution given by S. Mahmoud Taheri and M. Arefi (2009), J. Buckley (2005) in which we can make a decision in more easier way without the need of numerical in calculating \( A_{R} \) and \( A_{T} \). Second, we give three important tests of hypotheses for radar system to show how the crisp hypothesis decision is too rigid to be true for small changes. Finally, therefore we make the tests by fuzzy hypotheses which can deduce more scientific results with certain degree for accepting or rejecting null hypotheses.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Skolnik, M.I.: Introduction to Radar System, 2nd edn. Mc Graw-Hill, New York (2008)
Kaufmann, A., Gupta, M.M.: Introduction to Fuzzy Arithmetic Theory and Application. Van Nostrand Reinhold Company, New York (1985)
Papoulis, A.: Probability Random Variable and Stochastic Processes, 3rd edn. Mc Graw-Hill, New York (1991)
Kreyszig, E.: Advanced Engineering Mathematics, 9th edn., pp. 991–1094. Willey, Hoboken (2006)
Lehmann, E.L., Romano, J.P.: Testing Statistical Hypotheses, 3rd edn. Springer, New York (2010)
Taheri, S.M., Arefi, M.: Testing fuzzy hypotheses based on fuzzy test statistic. Soft. Comput. 13, 617–625 (2009)
Arnold, B.F.: Testing fuzzy hypotheses with crisp data. Fuzzy Sets Syst. 94, 323–333 (1998)
Parchami, A., Ivani, R., Mashinchi, M.: An application of testing fuzzy hypotheses: soil study on bioavailability of cadmium. Scientia Iranica C 18(3), 470–478 (2011)
Torabi, H., Behboodian, J.: Likelihood ratio tests for fuzzy hypotheses testing. Stat. Pap. 48, 509–522 (2007)
Hryniewicz, O.: Possibilistic decisions and fuzzy statistical tests. Fuzzy Sets Syst. 157, 2665–2673 (2006)
Filzmoser, P., Viertl, R.: Testing hypotheses with fuzzy data: the fuzzy p-value. Metrika 59, 21–29 (2004)
Parchami, A., Taheri, S.M., Mashinchi, M.: Fuzzy p-value in testing fuzzy hypotheses with crisp data. Stat Paper 51, 209–226 (2010)
Arnold, B.F.: An approach to fuzzy hypothesis testing. Metrica 44, 119–126 (1996)
Grzegorzewski, P.: Testing statistical hypotheses with vague data. Fuzzy Sets Syst. 112, 501–510 (2000)
Taheri, S.M., Behboodian, J.: A Bayesian approach to fuzzy hypotheses testing. Fuzzy Sets Syst. 123, 39–48 (2001)
Falsafain, A., Taheri, S.M.: On Buckley’s approach to fuzzy estimation. Soft. Comput. 15, 345–349 (2011)
Kumar, A., Singh, P., kaur, P., Kaur, A.: A new approach for ranking of L_R type generalized fuzzy numbers. Expert Syst. Appl. 38, 10906–10910 (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Elsherif, A.K., Tang, C., Zhang, L. (2014). Radar Decision Criteria Based on Fuzzy Test of Hypotheses. In: Leung, V., Chen, M. (eds) Cloud Computing. CloudComp 2013. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-319-05506-0_23
Download citation
DOI: https://doi.org/10.1007/978-3-319-05506-0_23
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-05505-3
Online ISBN: 978-3-319-05506-0
eBook Packages: Computer ScienceComputer Science (R0)