This work is licensed under a
Creative Commons Attribution 4.0 International License
[1] S. Abbasbandy, B. Asady, The nearest trapezoidal fuzzy number to a fuzzy quantity, Appl. Math. Comput., 156 (2004) 381-386.
DOI: https://doi.org/10.1016/j.amc.2003.07.025[2] S. Abbasbandy, M. Amirfakhrian, The nearest approximation of a fuzzy quantity in parametric form, Appl. Math. Comput., 172 (2006) 624-632.
DOI: https://doi.org/10.1016/j.amc.2005.02.019[3] S. Abbasbandy, M. Amirfakhrian, The nearest trapezoidal form of generalized left right fuzzy number, Internat. J. Approx. Reason., 43 (2006) 166-178.
DOI: https://doi.org/10.1016/j.ijar.2006.04.001[4] S. Abbasbandy, T. Hajjari, Weighted trapezoidal approximation-preserving cores of a fuzzy number, Computers and Mathematics with Applications, 59 (2010) 3066-3077.
DOI: https://doi.org/10.1016/j.camwa.2010.02.026[5] E. Baloui Jamkhaneh and A. Nadi Ghara, Testing statistical hypotheses for compare means with vague data, International Mathematical Forum, 5 (2010) 615-620.
DOI: https://doi.org/10.1109/icicci.2010.56[6] S. Bodjanova, Median value and median interval of a fuzzy number, Inform. Sci. 172 (2005) 73-89.
DOI: https://doi.org/10.1016/j.ins.2004.07.018[7] J. J. Buckley, Fuzzy statistics, Springer-Verlag, New York, (2005).
[8] J. Chachi, S. M. Taheri and R. Viertl, Testing statistical hypotheses based on fuzzy confidence intervals, Forschungsbericht SM-2012-2, Technische Universitat Wien, Austria, (2012).
[9] D. Dubois and H. Prade, Operations on fuzzy numbers, Int. J. Syst. Sci., 9 (1978) 613-626.
[10] S. C. Gupta, V. K. Kapoor, Fundamentals of mathematical statistics, Sultan Chand & Sons, New Delhi, India.
[11] R. R. Hocking, Methods and applications of linear models: regression and the analysis of variance, New York: John Wiley & Sons, (1996).
[12] Iuliana Carmen BĂRBĂCIORU, Statistical Hypothesis Testing Using Fuzzy Linguistic Variables, Fiabilitatesi Durabilitate-Fiability & Durability, Supplement, 1 (2012) Editura Academica Brȃncusi, Tȃrgu Jiu, ISSN 1844-640X.
[13] George J. Klir and Bo Yuan, Fuzzy sets and fuzzy logic, Theory and Applications, Prentice- Hall, New Jersey, (2008).
[14] T. S. Liou and M. J. Wang, Ranking Fuzzy Numbers with Integral Value, Fuzzy Sets and Systems, 50 (1992) 247-225.
DOI: https://doi.org/10.1016/0165-0114(92)90223-q[15] Mikihiko Konishi, Tetsuji Okuda and Kiyoji Asai, Analysis of variance based on Fuzzy interval data using moment correction method, International Journal of Innovative Computing, Information and Control, 2 (2006) 83-99.
[16] S. Parthiban, and P. Gajivaradhan, One-factor ANOVA model using trapezoidal fuzzy numbers through alpha cut interval method, Annals of Pure and Applied Mathematics, 11(1) (2016) 45-61.
[17] S. Parthiban, and P. Gajivaradhan, A comparative study of two factor ANOVA model under fuzzy environments using trapezoidal fuzzy numbers, Int. J. of Fuzzy Mathematical Archive, 10(1) (2016) 1-25.
DOI: https://doi.org/10.18052/www.scipress.com/bmsa.14.23[18] S. Salahsour, S. Abbasbandy and T. Allahviranloo, Ranking Fuzzy Numbers using Fuzzy Maximizing-Minimizing points, EUSFLAT-LFA: July 2011, Aix-les-Bains, France.
DOI: https://doi.org/10.2991/eusflat.2011.115[19] Salim Rezvani and Mohammad Molani, Representation of trapezoidal fuzzy numbers with shape function, to appear in Annals of Fuzzy mathematics and Informatics.
[20] Salim Rezvani, Ranking Generalized Trapezoidal Fuzzy Numbers with Euclidean Distance by the Incentre of Centroids, Mathematica Aeterna, 3 (2) (2013) 103-114.
[21] Y. L. P. Thorani, et al., Ordering Generalized Trapezoidal Fuzzy Numbers, Int. J. Contemp. Math. Sciences, 7(12) (2012) 555-573.
[22] T. Veerarajan, Probability, statistics and random process, Tata McGraw Hill Education Pvt. Ltd., New Delhi, India.
[23] R. Viertl, Statistical methods for fuzzy data, John Wiley and Sons, Chichester, (2011).
[24] R. Viertl, Univariate statistical analysis with fuzzy data, Computational Statistics and Data Analysis, 51 (2006) 33-147.
DOI: https://doi.org/10.1016/j.csda.2006.04.002[25] Y. M. Wang et al., On the centroids of fuzzy numbers, Fuzzy Sets and Systems, 157 (2006) 919-926.
[26] H. C. Wu, Analysis of variance for fuzzy data, International Journal of Systems Science, 38 (2007) 235-246.
[27] H. C. Wu, Statistical confidence intervals for fuzzy data, Expert Systems with Applications, 36 (2009) 2670-2676.
DOI: https://doi.org/10.1016/j.eswa.2008.01.022[28] H. C. Wu, Statistical hypotheses testing for fuzzy data, Information Sciences, 175 (2005) 30-56.
[29] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.
[1] S. Parthiban, P. Gajivaradhan, "Statistical Hypothesis Test in Three Factor ANOVA Model under Fuzzy Environments Using Trapezoidal Fuzzy Numbers", Bulletin of Mathematical Sciences and Applications, Vol. 14, p. 23, 2016
DOI: https://doi.org/10.18052/www.scipress.com/BMSA.14.23