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THE PERCENTILES OF FUZZY NUMBERS AND THEIR APPLICATIONS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 4، دوره 6، شماره 1، اردیبهشت 2009، صفحه 27-44 اصل مقاله (305.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2009.217 | ||
| نویسندگان | ||
| Eynollah Pasha1؛ Abolfazl Saiedifar* 2؛ Babak Asady3 | ||
| 1Department of Mathematics, The teacher Training University, Tehran, Iran | ||
| 2Department of Statistics, Science and Research branch, Islamic Azad University, Tehran 14515-775, Iran | ||
| 3Department of Mathematics, Islamic Azad University, Arak, Iran | ||
| چکیده | ||
| The purpose of this study is to find the percentiles of fuzzy numbers and to demonstrate their applications, which include finding weighted means, dispersion indices, and the percentile intervals of fuzzy numbers. The crisp approximations of fuzzy numbers introduced in this paper are new and interesting for the comparison of fuzzy environments, such as a variety of economic, financial, and engineering systems control problems. | ||
| کلیدواژهها | ||
| Trimmed mean؛ Winsorized mean؛ Interquartile range؛ Skewness؛ Kurtosis؛ Percentile interval | ||
| مراجع | ||
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[1] S. Bodjanova, Median value and median interval of a fuzzy number, Information Sciencees, 172 (2005), 73-89. [2] G. K. Bhattacharyya and R. A. Johnson, Statistical concepts and methods, John Wiley and Sons, 1977. [3] C. Carlsson and R. Full´er, On possibilistic mean value and variance of fuzzy numbers, Fuzzy Sets and Systems, 122 (2001), 315-326. [4] D. Dubois and H. Prade, Fuzzy sets and systems, theory and applications, Academikc press, New York, 1980. [5] D. Dubois and H. Prade, The mean value of a fuzzy number, Fuzzy Sets and Systems, 24 (1987), 279-300. [6] D. Dubois and H. Prade, Fundamentals of fuzzy sets, The Handbooks of Fuzzy Sets Series, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2000. [7] A. Galvan, Univariate equtions, Internet, 2005. [8] M. Ma, A. Kandel and M. Friedman, A new approach for defuzzification, Fuzzy Sets and Systems, 111 (2000), 351-356. [9] C. R. Marques, P. D. Neves and L. M. Sarmento, Evaluating core inflation indicator, Economic Modelling, 20 (2003), 765-775. [10] P. McAdam and P. McNelis, Forecasting inflation with thick model and neural networks, Economic Modelling, 22 (2005), 848-867. [11] A. V. Patel and B. M. Mohan, Some numerical aspects of center of area defuzzification method, Fuzzy Sets and Systems, 132 (2002), 401-409. [12] A. K. Rose, A stable internatinal monetary systems emerges: Inflation targeting is Bretton Woods, reversed, Journal of International Money and Finance, 26 (2007), 663-681. [13] A. Saiedifar and E. Pasha, The percentiles of trapezoidal fuzzy numbers and their applications, ICREM3, Kuala Lumpur, Malaysia, Proceedings of Pure Mathemathics Statistics, 2007, 61- 66. [14] A. Stuart, J. K. Ord and Kendall’s, Advanced theory of statistics, Distribution Theory 6th ed. New York, Oxford University Press, 1 (1998). [15] L. A. Zadeh, A fuzzy set-theoritic interpretation of linguistic hedges, Journal of Cybernetics, 2 (1972), 4-34. | ||
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