NET-THEORETICAL L-GENERALIZED CONVERGENCE SPACES

Yao, Wei

doi:10.22111/ijfs.2011.280

تعداد نشریات	31
تعداد شماره‌ها	834
تعداد مقالات	8,015
تعداد مشاهده مقاله	14,852,518
تعداد دریافت فایل اصل مقاله	9,586,536

	NET-THEORETICAL L-GENERALIZED CONVERGENCE SPACES
Iranian Journal of Fuzzy Systems
مقاله 8، دوره 8، شماره 2، شهریور 2011، صفحه 121-131 اصل مقاله (3.67 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2011.280
نویسنده
Wei Yao^*
Department of Mathematics, Hebei University of Science and Technology, Shijiazhuang 050018, P.R. China
چکیده
In this paper, the denition of net-theoretical L-generalized convergence spaces is proposed. It is shown that, for L a frame, the category of enriched L-fuzzy topological spaces can be embedded in that of L-generalized convergence spaces as a re ective subcategory and the latter is a cartesianclosed topological category.
کلیدواژه‌ها
Net؛ (Net-theoretical) L-generalized convergence space؛ (Enriched) L-fuzzy topological space؛ Cartesian-closed category

مراجع
[1] J. Adamek, H. Herrlich and G. E. Strecker, Abstract and concrete categories, Wiley, New York, 1990. [2] U. Hohle, Probabilistic topologies induced by L-fuzzy uniformities, Manuscipta Math., 38 (1982), 289-323. [3] U. Hohle, Many valued topology and its appplications, Kluwer Academic Publishers, 2001. [4] U. Hohle and A. P. Sostak, Axiomatic foundations of xed-basis fuzzy topology, Chapter 3 In: Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory, (U. Hohle, S. E. Rodabaugh, eds.), Kluwer Academic Publishers, Boston/Dordrecht/London, (1999), 123-272. [5] G. Jager, A category of L-fuzzy convergence spaces, Quaest. Math., 24 (2001), 501-517. [6] G. Jager, Subcategories of lattice valued convergence spaces, Fuzzy Sets and Systems, 156 (2005), 1-24. [7] P. Johnstone, Stone spaces, Cambridge University Press, Cambridge, 1982. [8] D. C. Kent, Convergence functions and their related topologies, Fund. Math., 54 (1964), 125-133. [9] Y. M. Liu and M. K. Luo, Fuzzy topology, World Scientic Publishing, Singapore, 1997. [10] R. Lowen, Convergence in fuzzy topological spaces, Gen. Topol. Appl., 10 (1979), 147-160. [11] G. Preu, Foundations of topology: an approach to convenient topology, Kluwer Academic Publishers, Dordrecht/Boston/London, 2002. [12] P. M. Pu and Y. M. Liu, Fuzzy topology: I. neighborhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl., 76 (1980), 571-599. [13] S. E. Rodabaugh, Powerset operator foundations for poslat fuzzy set theories and topologies, Chapter 2 In: Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory, (U. Hohle, S. E. Rodabaugh, eds.), Kluwer Academic Publishers, Boston/Dordrecht/London, (1999), 91-116. [14] W. Yao, On many-valued stratied L-fuzzy convergence spaces, Fuzzy Sets and Systems, 159 (2008), 2503-2519. [15] W. Yao, On L-fuzzifying convergence spaces, Iranian Journal of Fuzzy Systems, 6 (2009), 63-80. [16] Y. L. Yue and J. M. Fang, Fuzzy ideals and fuzzy limit structures, Iranian Journal of Fuzzy Systems, 5 (2008), 55-64.
آمار تعداد مشاهده مقاله: 2,445 تعداد دریافت فایل اصل مقاله: 1,956

سامانه مدیریت نشریات علمی. طراحی و پیاده سازی از سیناوب

پیوندهای مفید

اخبار و اعلانات

آمار

NET-THEORETICAL L-GENERALIZED CONVERGENCE SPACES