Fuzzy topology. II. Product and quotient spaces
Pu Pao-Ming,Liu Ying-Ming +1 more
TLDR
In this paper, a theory of neighborhood structures and theorems in the theory of Moore-Smith's convergence are generalized to fuzzy topological spaces, including product spaces and quotient spaces.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1980-09-01 and is currently open access. It has received 189 citations till now. The article focuses on the topics: Topological space & Compact-open topology.read more
Citations
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Journal ArticleDOI
Fuzzy invariant subgroups and fuzzy ideals
TL;DR: This paper will give a characteristic of a field by a fuzzy ideal, as fuzzy invariant subgroups, fuzzy ideals, and to prove some fundamental properties of fuzzy algebra.
Book ChapterDOI
Fuzzy Topological Spaces
TL;DR: In mathematics, certain notions of topology are also abstractions of classical concepts in the study of real or complex functions, including open sets, continuity, connectedness, compactness, and metric spaces.
Book ChapterDOI
Axiomatic Foundations Of Fixed-Basis Fuzzy Topology
Ulrich Höhle,Alexander P. Sostak +1 more
TL;DR: This paper gives the first comprehensive account on various systems of axioms of fixed-basis, L-fuzzy topological spaces and their corresponding convergence theory.
Journal ArticleDOI
Two decades of fuzzy topology: basic ideas, notions, and results
TL;DR: The fuzzy real line and its subspaces are illustrated, as well as certain categorical aspects of it, which make up the role and significance of fuzzy topology.
Journal ArticleDOI
Point-set lattice-theoretic topology
TL;DR: A survey of point-set lattice-theoretic or poslat topologies is given in this paper, by which we mean (fuzzy) topologies grounded in notions of sets, functions, powersets, and powerset operators.
References
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Journal ArticleDOI
Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence
Pu Pao-Ming,Liu Ying-Ming +1 more
Journal ArticleDOI
The fuzzy tychonoff theorem
TL;DR: In this article, the authors define cl∞-monoids, which are used to measure the degree of membership of points in sets, and define L- or "fuzzy" sets are defined, and suitable collections of these are called L-topological spaces.