Categories of Alexandrov L-Fuzzy Pre-uniformities, L-Approximation Operators and Alexandrov L-Fuzzy Topologies
نویسندگان
چکیده
منابع مشابه
Join-meet Approximation Operators Induced by Alexandrov Fuzzy Topologies
In this paper, we investigate the properties of Alexandrov fuzzy topologies and join-meet approximation operators. We study fuzzy preorder, Alexandrov topologies join-meet approximation operators induced by Alexandrov fuzzy topologies. We give their examples.
متن کاملCategories of lattice-valued closure (interior) operators and Alexandroff L-fuzzy topologies
Galois connection in category theory play an important role inestablish the relationships between different spatial structures. Inthis paper, we prove that there exist many interesting Galoisconnections between the category of Alexandroff $L$-fuzzytopological spaces, the category of reflexive $L$-fuzzyapproximation spaces and the category of Alexandroff $L$-fuzzyinterior (closure) spaces. This ...
متن کاملJoin Preserving Maps, Fuzzy Preorders and Alexandrov Fuzzy Topologies
In this paper, we investigate the properties of join preserving maps in complete residuated lattices. We define join approximation operators as a generalization of fuzzy rough sets in complete residuated lattices. Moreover, we investigate the relations between join preserving operators and Alexandrov fuzzy topologies. We give their examples. AMS Subject Classification: 03E72, 03G10, 06A15, 06F07
متن کاملThe Functorial Relations between Alexandrov Fuzzy Topologies and Upper Approximation Operators
In this paper, we investigate functorial relations between Alexandrov fuzzy topologies and upper approximation operators in complete residuated lattices. We present some examples. AMS Subject Classification: 03E72, 03G10, 06A15, 06F07, 54A40
متن کاملThe 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...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS
سال: 2019
ISSN: 1598-2645,2093-744X
DOI: 10.5391/ijfis.2019.19.1.28