An Introduction to Fuzzy Topological Spaces
نویسندگان
چکیده
Topology has enormous applications on fuzzy set. An attention can be brought to the mathematicians about these topological set by this article. In research, first we have classified sets and spaces, then made relation between elements of them. For expediency, with mathematical view few basic definitions crisp been recalled. Then discussed spaces. Finally, in last section, spaces which is our main object developed Moreover, article concluded examination some its properties certain relationships among closure
منابع مشابه
An introduction to topological hyperrings
In this paper, we define topological hyperrings and study their basic concepts which supported by illustrative examples. We show some differences between topological rings and topological hyperrings. Also, by the fundamental relation $\Gamma^{*}$, we indicate the role of complete parts (saturated subsets) and complete hyperrings in topological hyperrings and specially we show that if every (clo...
متن کاملIntroduction to topological vector spaces
Infinite-dimensional spaces are ubiquitous inmany branches of mathematics, and their topologies are almost always interesting. Samples of spaces that one is sure to encounter are Cc(R), C (R), L(R), and their continuous linear duals. There are two good reasons for making oneself at least somewhat familiar with the subject. On the one hand, without some preparation, it is easy to make false stat...
متن کامل(IC)LM-FUZZY TOPOLOGICAL SPACES
The aim of the present paper is to define and study (IC)$LM$-fuzzytopological spaces, a generalization of (weakly) induced $LM$-fuzzytopological spaces. We discuss the basic properties of(IC)$LM$-fuzzy topological spaces, and introduce the notions ofinterior (IC)-fication and exterior (IC)-fication of $LM$-fuzzytopologies and prove that {bf ICLM-FTop} (the category of(IC)$LM$-fuzzy topological ...
متن کامل$L$-fuzzy approximation spaces and $L$-fuzzy topological spaces
The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.
متن کاملGRADATION OF CONTINUITY IN FUZZY TOPOLOGICAL SPACES
In this paper we introduce a definition of gradation of continuity ingraded fuzzy topological spaces and study its various characteristic properties.The impact of the grade of continuity of mappings over the N-compactnessgrade is examined. Concept of gradation is also introduced in openness, closed-ness, homeomorphic properties of mappings and T2 separation axiom. Effectof the grades interrelat...
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: Advances in Pure Mathematics
سال: 2021
ISSN: ['2160-0368', '2160-0384']
DOI: https://doi.org/10.4236/apm.2021.115034