منابع مشابه
Minimal closed sets and maximal closed sets
Some properties of minimal open sets and maximal open sets are studied in [1, 2]. In this paper, we define dual concepts of them, namely, maximal closed set and minimal closed set. These four types of subsets appear in finite spaces, for example. More generally, minimal open sets and maximal closed sets appear in locally finite spaces such as the digital line. Minimal closed sets and maximal op...
متن کاملSome results on maximal open sets
In this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.Our results are supported by examples and counterexamples.
متن کاملA View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets
A nonzero fuzzy open set () of a fuzzy topological space is said to be fuzzy minimal open (resp. fuzzy maximal open) set if any fuzzy open set which is contained (resp. contains) in is either or itself (resp. either or itself). In this note, a new class of sets called fuzzy minimal open sets and fuzzy maximal open sets in fuzzy topological spaces are introduced and studied which are subclasses ...
متن کاملsome results on maximal open sets
in this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. some results about existence of maximal m-open setsare given. moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.our results are supported by examples and counterexamples.
متن کاملOn Maximal and Minimal Fuzzy Sets in I-Topological Spaces
In this paper, the unit interval 0, 1 will be denoted by I. LetX be a nonempty set. A member of I is called a fuzzy subset of X 1 . Throughout this paper, for A,B ∈ I we write A ≤ B if and only if A x ≤ B x for all x ∈ X. By A B, we mean that A ≤ B and B ≤ A, that is, A x B x for all x ∈ X. Also we write A < B if and only if A ≤ B and A/ B. If {Aj : j ∈ J} is a collection of fuzzy sets in X, th...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2015
ISSN: 1225-1763
DOI: 10.4134/ckms.2015.30.3.277