تعداد نشریات | 27 |
تعداد شمارهها | 566 |
تعداد مقالات | 5,822 |
تعداد مشاهده مقاله | 8,157,906 |
تعداد دریافت فایل اصل مقاله | 5,457,711 |
STRATIFIED (L, M)-FUZZY DERIVED SPACES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 9، دوره 15، شماره 4، مهر و آبان 2018، صفحه 109-127 اصل مقاله (459.38 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2018.4118 | ||
نویسندگان | ||
Yu Zhong1؛ Fu-Gui Shi ![]() | ||
1College of Science, North China University of Technology, Beijing, P. R. China and School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P. R. China | ||
2School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P. R. China and Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, P. R. China | ||
چکیده | ||
In this paper, the concepts of derived sets and derived operators are generalized to $(L, M)$-fuzzy topological spaces and their characterizations are given. What is more, it is shown that the category of stratified $(L, M)$-fuzzy topological spaces, the category of stratified $(L, M)$-fuzzy closure spaces and the category of stratified $(L, M)$-fuzzy quasi-neighborhood spaces are all isomorphic to the category of stratified $(L, M)$-fuzzy derived spaces. | ||
کلیدواژهها | ||
Derived set؛ M)$-fuzzy derived set؛ $(L؛ M)$-fuzzy derived operator؛ Stratified $(L؛ M)$-fuzzy topology؛ Isomorphism of categories | ||
مراجع | ||
[1] Y. C. Bai, The N-derived operator in L-fuzzy topological spaces, Journal of Shaanxi Normal University (Natural Science Edition), 18 (1990), 8{11. [2] P. Dwinger, Characterizations of the complete homomorphic images of a completely distribu- tive complete lattice I, Indag. Math. (Proc), 85 (1982), 403{414. [3] R. Engelking, General Topology, Warszawa, 1977. [4] J. M. Fang, Derived opeartor in L-fuzzy topological spaces, The Journal of Fuzzy Mathemat- ics, 10 (2002), 735{746. [5] J. M. Fang, Categories isomorphic to L-FTOP, Fuzzy Sets and Systems, 157 (2006), 820{ 831. [6] G. Gierz, K. H. Hofmann and K. Keimel, A Compendium of Continuous Lattices, Springer, Berlin, 1980. [7] J. L. Kelley, General Topology, Springer, New York, 1955. [8] T. Kubiak, On Fuzzy Topologies, PhD thesis, Adam Mickiewicz, Poznan, Poland, 1985. [9] Y. Liu and M. Luo, Fuzzy Topology, World Scientific Publishing, Singapore, 1997. [10] P. M. Pu, Y. M. Liu, Fuzzy topology. I. neighborhood structure of a fuzzy point and moore- smith convergence, Journal of Mathematical Analysis and Applications, 76 (1980), 571{599. [11] F. G. Shi, The fuzzy derived induced by the derived operator of ordinary set and fuzzy topology induced by the fuzzy derived operator, Fuzzy Systems and Mathematics, 5 (1991), 32{37. [12] F. G. Shi, L-fuzzy derived opeartor and L-fuzzy topology, Journal of Yantai Teachers Univer- sity (Natural Science Edition), 10 (1994), 161{166. [13] F. G. Shi, Theory of L-nested sets and L-nested sets and its applications, Fuzzy Systems and Mathematics, 4 (1995), 65{72. [14] F. G. Shi, L-fuzzy interiors and L-fuzzy closures, Fuzzy Sets and Systems, 160 (2009), 1218{ 1232. [15] F. G. Shi and B. Pang, Categories isomorphic to the category of L-fuzzy closure system spaces, Iranian Journal of Fuzzy Systems, 10(5) (2013), 127{146. [16] J. B. Shi and L. X. Xuan, Strong derived sets and strong derived operators in L-fuzzy topo- logical spaces, Journal of Nanjing Normal University (Natural Science Edition), 19 (1996), 7{12. [17] A. P. Sostak, Basic structures of fuzzy topology, Journal of Mathematical Sciences, 78 (1996), 662{701. [18] G. J. Wang, Theory of L-Fuzzy Topological Spaces, Shaanxi Normal University Press, Xi'an, (in Chinese), 1988. [19] G. J. Wang, Theory of topological molecular lattices, Fuzzy Sets and Systems, 47 (1992), 351{376. [20] M. S. Ying, A new approach for fuzzy topology (I), Fuzzy Sets and Systems, 39 (1991), 303{321. [21] W. Yao, Moore-Smith convergence in (L;M)-fuzzy topology, Fuzzy Sets and Systems, 190 (2012), 47{62. [22] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338{353. | ||
آمار تعداد مشاهده مقاله: 758 تعداد دریافت فایل اصل مقاله: 329 |