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Fuzzy topological vector spaces I

Fuzzy Sets and Systems, 1981
This is a continuation of ibid. 6, 85-95 (1981; Zbl 0463.46009). It is shown that a topology \(\tau\), on a vector space E, is linear iff the fuzzy topology \(\omega\) (\(\tau)\), consisting of all \(\tau\)-lower semicontinuous fuzzy sets, is linear. The fuzzy seminormed and the fuzzy normed linear spaces are introduced and some of their properties are
A K Katsaras
exaly   +4 more sources

Connectedness in -fuzzy topological spaces

Fuzzy Sets and Systems, 2000
Let \(L\) be a completely distributive lattice with an order-reversing involution and \((L^X, \delta)\) be an \(L\)-topological space, that is, \(\delta\) is a subset of \(L^X\) closed under finite infs and arbitrary sups. For each prime \(a\in L\), \(\iota_a(\delta) = \{\iota_a(\lambda) \mid \lambda\in\delta\}\) is a topology on \(X\), called the \(a\)
exaly   +2 more sources

On fuzzy topological spaces

Fuzzy Sets and Systems, 1986
The author introduces and studies the notions of almost fuzzy continuous, almost fuzzy open and almost fuzzy closed mappings.
Sudarsan Nanda
exaly   +3 more sources

FUZZY CHU SPACES AND FUZZY TOPOLOGIES

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
We show that each fuzzy (or in general L-) topological space can be represented as a fuzzy (or an L-) Chu space. Further, this representation preserves products, coproducts, tensor products, and hom-sets (together with the structures they are enriched with).
Arun K. Srivastava, S. P. Tiwari
openaire   +1 more source

On L-fuzzy topological spaces

Fuzzy Sets and Systems, 2005
This paper concerns the development of the theory of \(L\)-fuzzy topological spaces in the sense of Hutton and Höhle, where \(L\) denotes a completely distributive lattice. To every \(L\)-fuzzy set in a universe \(X\) a degree (belonging to \(L\)) has been assigned so that contrastedly to Chang's original definition a fuzzy set is no longer open or not
Jie Zhang, Fu-Gui Shi, Chong-You Zheng
openaire   +3 more sources

Fuzzy soft topological spaces

Journal of Intelligent & Fuzzy Systems, 2017
Fuzzy soft topological space was introduced and studied by B. Tanay et al. [ 8 ]. This paper introduces fuzzy soft point and study the concept of neighborhood of a fuzzy soft point in a fuzzy soft topological space alongwith the study of fuzzy soft closure and fuzzy soft interior.
J. Mahanta, P. K. Das
openaire   +2 more sources

Fuzzy topologies on function spaces

Fuzzy Sets and Systems, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. K. Kohli, A. R. Prasannan
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Convergences in fuzzy topological spaces

Fuzzy Sets and Systems, 1999
The authors introduce and investigate the notions of fuzzy upper limit, fuzzy lower limit and fuzzy limit of a net of fuzzy subsets of a fuzzy topological space in terms of quasi neighbourhoods, generalize Kuratowski's notion of continuous convergence to the set of fuzzy continuous functions and characterize fuzzy compactness and fuzzy continuous ...
Dimitris N. Georgiou   +1 more
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Finite fuzzy topological spaces

Fuzzy Sets and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moussa Benoumhani, Ali Jaballah
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Fuzzy ideal topological spaces

Journal of Intelligent & Fuzzy Systems, 2019
 In this paper, it is introduced the notion of r -fuzzy ideal separation axioms T i , i  = 0, 1, 2 based on a fuzzy ideal
Ali N. A. Koam   +2 more
openaire   +2 more sources

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