اخبار و اعلانات
آمار
| تعداد نشریات | 31 |
| تعداد شماره‌ها | 700 |
| تعداد مقالات | 6,841 |
| تعداد مشاهده مقاله | 11,163,863 |
| تعداد دریافت فایل اصل مقاله | 7,505,442 |
DEFUZZIFICATION METHOD FOR RANKING FUZZY NUMBERS BASED ON CENTER OF GRAVITY | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 9، شماره 6، اسفند 2012، صفحه 57-67 اصل مقاله (8.99 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2012.113 | ||
| نویسندگان | ||
| Tofigh Allahviranloo* 1؛ Rahim Saneifard2 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| Ranking fuzzy numbers plays a very important role in decision making and some other fuzzy application systems. Many different methods have been proposed to deal with ranking fuzzy numbers. Constructing ranking indexes based on the centroid of fuzzy numbers is an important case. But some weaknesses are found in these indexes. The purpose of this paper is to give a new ranking index to rank various fuzzy numbers effectively. Finally, several numerical examples following the procedure indicate the ranking results to be valid. | ||
| کلیدواژه‌ها | ||
| ranking؛ Fuzzy numbers؛ Centroid point؛ Defuzzification | ||
| مراجع | ||
|
[1] S. Abbasbandy and B. Asady,Ranking of fuzzy numbers by sign distance, Information Sciences,176(2006), 2405-2416. [2] T. Allahviranloo and M. Afshar,Numerical methods for fuzzy linear partial differential equationsunder new ition for derivative, Iranian Journal of Fuzzy Systems, 7 (2010), 33-50. [3] T. Allahviranloo, S. Abbasbandy and R. Saneifard,A method for ranking fuzzy numbers using new weighted distance , Mathematical and Computational Applications, 2 (2011), 359-369. [4] T. Allahviranloo, S. Abbasbandy and R. Saneifard,An approximation approach for ranking fuzzy numbers based on weighted interval-value, Mathematical and Computational Applications,3(2011), 588-597. [5] I. Altun,Some fixed point theorems for single and multi valued mappings on ordered nonarchimedean fuzzy metric spaces , Iranian Journal of Fuzzy Systems, 1 (2010), 91-96. [6] J. F. Baldwin and N. C. Guild,Comparison of fuzzy sets on the same decision space, Fuzzy Sets and Systems,2 (1979), 213-231. [7] S. M. Bass and H. Kwakernaak,Rating and ranking of multiple aspect alternatives using fuzzy sets Automatica, 13 (1977), 47-58. [8] W. Chang,Ranking of fuzzy utilities with triangular membership function , Proceeding of the International conference on policy analysis information system,105 (1981), 263-272. [9] S. H. Chen,Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets and Systems,17 985), 113-129. [10] L. H. Chen and H. W. Lu,An approximate approach for ranking fuzzy numbers based on left and right dominance, Comput Math Appl., 41(2001), 1589-1602. [11] C. H. Cheng,A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems,95 998), 307-317. [12] C. H. Cheng,Ranking alternatives with fuzzy weights using maximizing set and minimizing set, Fuzzy Sets and Systems, 105 (1999), 365-375. [13] T. Chu and C. Tsao,Ranking fuzzy numbers with an area between the centroid point andoriginal point, Comput. Math. Appl., 43 (2002), 111-117. [14] D. Dubois and H. Prade,Operation on fuzzy numbers, Internat. J. Syst. Sci., 9 (1978),613-626. [15] R. Ezatti and R. Saneifard,A new approach for ranking of fuzzy numbers with continuousweighted quasi-arithmetic means, Mathematical Sciences, 4 (2010), 143-158. [16] R. Ezzati and R. Saneifard,Defuzzification through a novel approach, Proc.10th Iranian Conference on Fuzzy Systems, (2010), 343-348. [17] E. C. Lee and R. L. Li,Comparison of fuzzy numbers based on the probability measure of fuzzy events , Comput Math Appl., 105 (1988), 887-896. [18] F. Merghadi and A. Alioughe,A related fixed point theorem in n fuzzy metric spaces, Iranian Journal of Fuzzy Systems,3 (2010), 73-86. [19] E. Pasha, A. Saiedfar and B. Asady,The percentiles of fuzzy numbers and their applications,Iranian Journal of Fuzzy Systems,6 (2009), 27-44. [20] R. Saneiafard,Some properties of neural networks in designing fuzzy systems, Neural Computing and Applications, doi:10.1007/s00521-011-0777-1, 2011. [21] R. Saneifard,A method for defuzzification by weighted distance, Int. J. Industrial Mathematics,3(2010), 209-217. [22] R. Saneiafrd,Designing an algorithm for evaluating decision-making units based on neuralweighted function, Neural Computing and Applications, doi:10.1007/s00521-012-0878-5, 2012. [23] R. Saneifard,Ranking L-R fuzzy numbers with weighted averaging based on levels, Int. J.Industrial Mathematics,2(2009), 163-173. [24] Rahim Saneiafrd and Rasoul Saneifard,A new effect of radius of gyration with neural networks,Neural Computing and Applications, doi:10.1007/s00521-012-1067-2, 2012. [25] R. Saneifard and R. Ezzati,Defuzzification through a bi-Symmetrical weighted function, Aust.J. Basic appl. sci.,10 (2009), 4976-4984. [26] R. Saneifard and T. Allahviranloo,A comparative study of ranking fuzzy numbers based on regular weighted function, Fuzzy Information and Engineering, 3 (2012), 235-248. [27] R. Saneifard, T. Allahviranloo, F. Hosseinzadeh and N. Mikaeilvand,Euclidean ranking DMUs with fuzzy data in DEA, Applied Mathematical Sciences, 60 (2007), 2989-2998. [28] T. Y. Tseng and C. M. Klein,New algorithm for the ranking procedure in fuzzy decision making, IEEE Trans Syst Man Cybernet SMC., 19 (1989), 1289-1296. [29] X. Wang and E. E. Kerre,Reasonable properties for the ordering of fuzzy quantities (I),Fuzzy Sets and Systems,118 (2001), 378-405. [30] Y. M. Wang, J. B. Yang, D. L. Xu and K. S. Chin,On the centroids of fuzzy numbers, FuzzySets and Systems,157 (2006), 919-926. [31] R. R. Yager and D. P. Filev,On the issue of defuzzification and selection based on a fuzzy set, Fuzzy Sets and Systems, 55 (2006), 255-272. [32] J. Zhao and Q. S. Liu,Ranking fuzzy numbers based on the centroid of fuzzy numbers, Fuzzy Systems and Mathematics,22 (2008), 142-146.
| ||
|
آمار تعداد مشاهده مقاله: 9,720 تعداد دریافت فایل اصل مقاله: 12,418 |
||