Fuzzy topological spaces and fuzzy compactness
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TLDR
It will be shown in a following publication that contrary to the results obtained up to now, the Tychonoff-product theorem is safeguarded with fuzzy compactness.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1976-12-01 and is currently open access. It has received 894 citations till now. The article focuses on the topics: Topological space & Fuzzy number.read more
Citations
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An introduction to intuitionistic fuzzy topological spaces
TL;DR: The basic concepts of the so-called “intuitionistic fuzzy topological spaces” are constructed, the definitions of fuzzy continuity, fuzzy compactness, fuzzy connectedness and fuzzy Hausdorff space are introduced, and several preservation properties and some characterizations concerning fuzzy compactity and fuzzyconnectedness are obtained.
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.
Journal ArticleDOI
On the generalization of fuzzy rough sets
TL;DR: In this paper, some definitions of upper and lower approximation operators of fuzzy sets by means of arbitrary fuzzy relations are proposed and a special lower approximation operator is applied to a fuzzy reasoning system, which coincides with the Mamdani algorithm.
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.
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Fuzzy topological vector spaces II
TL;DR: The notion of a bornological fuzzy linear space is given and some of the properties of such a space are investigated.
References
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Probability measures of Fuzzy events
TL;DR: In probability theory, an event, A, is a member of a a-field, CY, of subsets of a sample space ~2, where CY is any collection of disjoint events.
Journal ArticleDOI
L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].
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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.