| تعداد نشریات | 31 |
| تعداد شمارهها | 834 |
| تعداد مقالات | 8,015 |
| تعداد مشاهده مقاله | 14,852,912 |
| تعداد دریافت فایل اصل مقاله | 9,586,821 |
Interval Type-2 Fuzzy Rough Sets and Interval Type-2 Fuzzy Closure Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 12، شماره 3، شهریور 2015، صفحه 113-125 اصل مقاله (377.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2022 | ||
| نویسندگان | ||
| Shambhu Sharan* 1؛ S. P. Tiwari2؛ V. K. Yadav2 | ||
| 1School of Advanced Sciences, VIT University,Vellore-632014,Tamil Nadu, India | ||
| 2Department of Applied Mathematics, Indian School of Mines, Dhanbad- 826004, India | ||
| چکیده | ||
| The purpose of the present work is to establish a one-to-one correspondence between the family of interval type-2 fuzzy reflexive/tolerance approximation spaces and the family of interval type-2 fuzzy closure spaces. | ||
| کلیدواژهها | ||
| Interval type-2 fuzzy set؛ Interval type-2 fuzzy rough set؛ Interval type-2 fuzzy reflexive approximation space؛ Interval type-2 fuzzy tolerance approximation space؛ Interval type-2 fuzzy closure space؛ Interval type-2 fuzzy topology | ||
| مراجع | ||
|
[1] D. Dubois and H. Prade, Rough fuzzy set and fuzzy rough set, Internation Journal of General Systems, 17(2-3) (1990), 191-209. [2] J. Elorza and P. Burillo, On the relation between fuzzy peorders and fuzzy consequence oper- ators, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 7(3) (1999), 219-234. [3] J. Elorza and P. Burillo, Connecting fuzzy preorders, fuzzy consequence operators and fuzzy closure and co-closure systems, Fuzzy Sets and Systems, 139(3) (2003), 601-613. [4] J. Elorza, R. Fuentes-Gonzalez, J. Bragard and P. Burillo, On the relation between fuzzy closing morphological operators, fuzzy consequence operators induced by fuzzy preorders and fuzzy closure and co-closure systems, Fuzzy Sets and Systems, 218 (2013), 73-89. [5] J. Fang and P. Chen, One-to-one correspondence between fuzzifying topologies and fuzzy preorders, Fuzzy Sets and Systems, 158(16) (2007), 1814-1822. [6] J. Hao and Q. Li, The relationship between L-fuzzy rough set and L-topology, Fuzzy Sets and Systems, 178(1) (2011), 74-83. [7] M. Kondo, On the structure of generalized rough sets, Information Sciences, 176(5) (2006), 586-600. [8] H. Lai and D. Zhang, Fuzzy preorder and fuzzy topology, Fuzzy Sets and Systems, 157(14) (2006), 1865-1885. [9] Q. Liang and J. M. Mendel, Interval type-2 fuzzy logic systems: Theory and design, IEEE Transactions on Fuzzy Systems, 8(5) (2000), 535-550. [10] A. S. Mashhour and M. H. Ghanim, Fuzzy closure spaces, Journal of Mathematical Analysis and Applications, 106(1) (1985), 154-170. [11] J. M. Mendel and R. I. John, Type-2 fuzzy sets made simple, IEEE Transactions on Fuzzy Systems, 10(2) (2002), 117-127. [12] J. M. Mendel, R. I. John and F. Liu, Interval type-2 fuzzy logic systems made simple, IEEE Transactions on Fuzzy Systems, 14(6) (2006), 808-821. [13] M. Mizumoto and K. Tanaka, Some properties of fuzzy sets of type-2, Information and Con- trol, 31(4) (1976), 312-340. [14] Z. Pawlak, Rough sets, International Journal of Computer and Information Sciences, 11 (1982), 341{356. [15] K. Qin and Z. Pei, On the topological properties of fuzzy rough sets, Fuzzy sets and Systems, 151 (2005), 601-613. [16] E. Sanchez, Eigen fuzzy sets and fuzzy relations, Journal of Mathematical Analysis and Applications, 81(2) (1981), 399-421. [17] Y. H. She and G. J. Wang, An axiomatic approach of fuzzy rough sets based on residuated lattices, Computers and Mathematics with Applications, 58(1) (2009), 189-201. [18] R. Srivastava, A. K. Srivastava and A. Choubey, Fuzzy closure spaces, Journal of fuzzy Mathematics, 2 (1994), 525-534. [19] S. P. Tiwari and A. K. Srivastava, Fuzzy rough sets, fuzzy preorders and fuzzy topologies, Fuzzy sets and Systems, 210 (2013), 63-68. [20] H. Y. Wu, Y. Y. Wu and J. P. Luo, An interval type-2 fuzzy rough set model for attribute reduction, IEEE Transactions on Fuzzy Systems, 17(2) (2009), 301-315. [21] Y. Y. Yao, Constructive and algebraic methods of the theory of rough sets, Information Sciences, 109(1-4) (1998), 21-47. [22] D. S. Yeung, D. Chen, E. C. C. Tsang, J. W. T. Lee and W. Xizhao, On the generalization of fuzzy rough sets, IEEE Transactions on Fuzzy Systems, 13(3) (2005), 343-361. [23] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338-353. [24] L. A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, Information Sciences, 8(3) (1975), 199-249. [25] Z. Zhang, On characterization of generalized interval type-2 fuzzy rough sets, Information Sciences, 219 (2013), 124-150. | ||
|
آمار تعداد مشاهده مقاله: 2,289 تعداد دریافت فایل اصل مقاله: 1,413 |
||