Affiliation:
1. Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China
Abstract
This paper presents the concepts of (L,M)-remotehood spaces and
(L,M)-convergence spaces in the framework of (L,M)-fuzzy convex spaces.
Firstly, it is shown that the category of (L,M)-remotehood spaces is
isomorphic to the category of (L,M)-fuzzy convex spaces. Secondly, it is
proved that the category of (L,M)-fuzzy convex spaces can be embedded in the
category of (L,M)-convergence spaces as a reflective subcategory. Finally,
the concepts of preconvex (L,M)-remotehood spaces and preconvex (L,M)-
convergence spaces are introduced and it is shown that the category of
preconvex (L,M)-remotehood spaces is isomorphic to the category of preconvex
(L,M)-convergence spaces.
Publisher
National Library of Serbia
Reference44 articles.
1. J. Adámek, H. Herrlich, G.E. Strecker, Abstract and Concrete Categories, Wiley, New York, 1990.
2. J.M. Fang, Stratified L-ordered convergence structures, Fuzzy Sets Syst. 161 (2010) 2130-2149.
3. J.M. Fang, Relationships between L-ordered convergence structures and strong L-topologies, Fuzzy Sets Syst. 161 (2010) 2923- 2944.
4. P.V. Flores, G.D. Richardson, Lattice-valued convergence: diagonal axioms, Fuzzy Sets Syst. 159 (2008) 2520-2528.
5. J. Gutiérrez García, S. Romaguera, M. Sanchis, Fuzzy uniform structures and continuous t-norms, Fuzzy Sets Syst. 161 (2010) 1011-1021.
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