Stratified $(L,M)$-fuzzy Q-convergence spaces

Pang, Bin; Zhao, Yi

doi:10.22111/ijfs.2016.2598

	شماره های تماس اداره نشریات و مجلات علمی دانشگاه
	نام مجله پژوهش های تاریخی به پژوهش های تاریخی ایران و اسلام تغییر یافت.

تعداد نشریات	27
تعداد شماره‌ها	578
تعداد مقالات	5,938
تعداد مشاهده مقاله	8,532,306
تعداد دریافت فایل اصل مقاله	5,649,351

	Stratified $(L,M)$-fuzzy Q-convergence spaces
Iranian Journal of Fuzzy Systems
مقاله 8، دوره 13، شماره 4، آبان 2016، صفحه 95-111 اصل مقاله (473.98 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2598
نویسندگان
Bin Pang؛ Yi Zhao
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
چکیده
This paper presents the concepts of $(L,M)$-fuzzy Q-convergence spaces and stratified $(L,M)$-fuzzy Q-convergence spaces. It is shown that the category of stratified $(L,M)$-fuzzy Q-convergence spaces is a bireflective subcategory of the category of $(L,M)$-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified $(L,M)$-fuzzy topological spaces can be embedded in the category of stratified $(L,M)$-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified $(L,M)$-fuzzy Q-convergence spaces.
کلیدواژه‌ها
(Stratified) $(L؛ M)$-fuzzy topology؛ M)$-fuzzy Q-convergence structure؛ Topological category؛ Cartesian-closedness

مراجع
[1] J. Adamek, H. Herrlich and G. E. Strecker, Abstract and concrete categories, Wiley, New York, 1990. [2] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182{190. [3] J. M. Fang, Categories isomorphic to L-FTOP, Fuzzy Sets Syst., 157 (2006), 820{831. [4] J. M. Fang, Stratied L-ordered convergence structures, Fuzzy Sets Syst., 161 (2010), 2130{ 2149. [5] J. M. Fang, Relationships between L-ordered convergence structures and strong L-topologies, Fuzzy Sets Syst., 161 (2010), 2923{2944. [6] M. Guloglu and D. Coker, Convergence in I-fuzzy topological spaces, Fuzzy Sets Syst., 151 (2005), 615{623. [7] U. Hohle and A. P. Sostak, Axiomatic foudations of xed-basis fuzzy topology, In: U. Hohle, S.E. Rodabaugh (Eds.), Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Handbook Series, vol.3, Kluwer Academic Publishers, Boston, Dordrecht, London, (1999), 123{173. [8] G. Jager, A category of L-fuzzy convergence spaces, Quaest. Math., 24 (2001), 501{517. [9] G. Jager, Subcategories of lattice-valued convergence spaces, Fuzzy Sets Syst., 156 (2005), 1{24. [10] G. Jager, Pretopological and topological lattice-valued convergence spaces, Fuzzy Sets Syst., 158 (2007), 424{435. [11] G. Jager, Lattice-valued convergence spaces and regularity, Fuzzy Sets Syst., 159 (2008), 2488{2502. [12] G. Jager, Fischer's diagonal condition for lattice-valued convergence spaces, Quaest. Math., 31 (2008), 11{25. [13] G. Jager, Stratied LMN-convergence tower spaces, Fuzzy Sets Syst., 282 (2016), 62{73. [14] T. Kubiak, On fuzzy topologies, Ph.D. Thesis, Adam Mickiewicz, Poznan, Poland, 1985. [15] L. Q. Li and Q. Jin, On adjunctions between Lim, SL-Top, and SL-Lim, Fuzzy Sets Syst., 182 (2011), 66{78. [16] L. Q. Li and Q. Jin, On stratied L-convergence spaces: Pretopological axioms and diagonal axioms, Fuzzy Sets Syst., 204 (2012), 40{52. [17] R. Lowen, Convergence in fuzzy topological spaces, Gen. Topl. Appl., 10 (1979),147{160. [18] K. C. Min, Fuzzy limit spaces, Fuzzy Sets Syst., 32 (1989), 343{357. [19] B. Pang and J.M. Fang, L-fuzzy Q-convergence structures, Fuzzy Sets Syst., 182 (2011), 53{65. [20] B. Pang, Futher study on L-fuzzy Q-convergence structures, Iranian Journal of Fuzzy Systems, 10(5) (2013), 147{164. [21] B. Pang, On (L;M)-fuzzy convergence spaces, Fuzzy Sets Syst., 238 (2014), 46{70. [22] B. Pang and F. G. Shi, Degrees of compactness of (L;M)-fuzzy convergence spaces and its applications, Fuzzy Sets Syst., 251 (2014), 1{22. [23] B. Pang, Enriched (L;M)-fuzzy convergence spaces, J. Intell. Fuzzy Syst., 27 (2014), 93{103. [24] G. Preuss, Foundations of topology{an approach to convenient topology, Kluwer Academic Publisher, Dordrecht, Boston, London, 2002. [25] A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Mat. Palermo Ser. II, 11 (1985), 89{103. [26] L. S. Xu, Characterizations of fuzzifying topologies by some limit structures, Fuzzy Sets Syst., 123 (2001), 169{176. [27] W. Yao, On many-valued stratied L-fuzzy convergence spaces, Fuzzy Sets Syst., 159 (2008), 2503{2519. [28] W. Yao, On L-fuzzifying convergence spaces, Iranian Journal of Fuzzy Systems, 6(1) (2009), 63{80. [29] W. Yao, Moore-Smith convergence in (L;M)-fuzzy topology, Fuzzy Sets Syst., 190 (2012), 47{62.
آمار تعداد مشاهده مقاله: 22,274 تعداد دریافت فایل اصل مقاله: 877

Journal Management System. Designed by sinaweb.

پیوندهای مفید

اخبار و اعلانات

آمار

Stratified $(L,M)$-fuzzy Q-convergence spaces