the relationship between l-fuzzy proximities and l-fuzzy quasi-uniformities
Authors
abstract
in this paper, we investigate the l-fuzzy proximities and the relationships betweenl-fuzzy topologies, l-fuzzy topogenous order and l-fuzzy uniformity. first, we show that the category of-fuzzy topological spaces can be embedded in the category of l-fuzzy quasi-proximity spaces as a coreective full subcategory. second, we show that the category of l -fuzzy proximity spaces is isomorphic to the category of l-fuzzy topogenous order spaces. finally,we obtain that the category of l-fuzzy proximity spaces can be embeddedin the category of l-fuzzy uniform spaces as a bireective full subcategory.
similar resources
THE RELATIONSHIP BETWEEN L-FUZZY PROXIMITIES AND L-FUZZY QUASI-UNIFORMITIES
In this paper, we investigate the L-fuzzy proximities and the relationships betweenL-fuzzy topologies, L-fuzzy topogenous order and L-fuzzy uniformity. First, we show that the category of-fuzzy topological spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a coreective full subcategory. Second, we show that the category of L -fuzzy proximity spaces is isomorphic to the ...
full text(L,♦)-Fuzzy Quasi-Uniformities Induced Functions
In categories related to complete quasi-monoidal lattices, we investigate the relations among (L,♦)-(respectively, (L, )-,(L, )-) fuzzy quasi-uniform spaces, (L, ,∧)-fuzzy topological spaces and (L, ,∧)fuzzy interior spaces induced functions. Mathematics Subject Classification: 54A40, 08A72, 06D72
full textThe Relations between Soft L-fuzzy Topogenous Orders and Soft L-fuzzy Pre-uniformities
Recently, Molodtsov [12] introduced the soft set as a mathematical tool for dealing information as the uncertainty of data in engineering, physics, computer sciences and many other diverse field. Presently, the soft set theory is making progress rapidly [1,3]. Pawlak’s rough set [13,14] can be viewed as a special case of soft rough sets [3]. The topological structures of soft sets have been dev...
full textA NOTE ON THE RELATIONSHIP BETWEEN HUTTON'S QUASI-UNIFORMITIES AND SHI'S QUASI-UNIFORMITIES
This note studies the relationship between Hutton's quasi-uniformities and Shi's quasi-uniformities. It is shown that when $L$ satisfies``multiple choice principle" for co-prime elements, the category of Hutton's quasi-uniform spaces is a bireflective full subcategory of the category of Shi's quasi-uniform spaces. Especially, if the remote-neighborhood mapping defined by Shi preserves arbitrary...
full textL-fuzzy interiors and L-fuzzy closures
In this paper, we introduce new definitions of L-fuzzy neighborhood systems, L-fuzzy interior operators and L-fuzzy closure operators. Three characterizations of the category L-FTOP of L-fuzzy topological spaces and their L-fuzzy continuous mappings are presented by means of the category L-FNS of L-fuzzy neighborhood spaces and their continuous mappings, the category L-FIS of L-fuzzy interior s...
full textInitial Soft L - Fuzzy Quasi - Uniform Spaces
Hájek in [5] introduced a complete residuated lattice which is an algebraic structure for many valued logic. It is an important mathematical tool for algebraic structure of fuzzy contexts, see [2,6,9,10]. Recently, Molodtsov in [13] introduced the soft set as a mathematical tool for dealing information as the uncertainty of data in engineering, physics, computer sciences and many other diverse ...
full textMy Resources
Save resource for easier access later
Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 9
issue 6 2012
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023