Results 21 to 30 of about 62,467 (188)

A quantitative approach to topology for fuzzy regions [PDF]

open access: yes, 2010
There has been lots of research in the field of fuzzy spatial data and the topology of fuzzy spatial objects. In this contribution, an extension to the 9-intersection model is presented, to allow for the relative position of overlapping fuzzy regions to ...
D. Dubois   +5 more
core   +2 more sources

Fuzzy and l-Fuzzy Subset in a Locally Convex Topology

open access: yesWalailak Journal of Science and Technology, 2014
In this paper, the concepts of sectional fuzzy continuous mappings, and l-fuzzy compact sets, are introduced in locally convex topology generated by fuzzy n-norms.
Sayed Khalil ELAGAN, Rabha Waell IBRAHIM
doaj   +1 more source

Novel Characterizations of $LM$-Fuzzy Open Operators [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
In this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space.
Fu-Gui Shi
doaj   +1 more source

Fuzzy sequential topology

open access: yesProyecciones (Antofagasta), 2022
We define the sequential fuzzy closure and sequential fuzzy interior of fuzzy subsets of $ I^{X} $ by convergence of sequences of fuzzy points. We characterize the fuzzy sequential topology with the sequential fuzzy closure. Furthermore, we compare this topology with the usual fuzzy topology, and prove some basic properties of these concepts.
Hassani, Rachid Ameziane   +3 more
openaire   +1 more source

On Bipolar Fuzzy Gradation of Openness

open access: yesMathematics, 2020
The concept of bipolar fuzziness is of relatively recent origin where in addition to the presence of a property, which is done in fuzzy theory, the presence of its counter-property is also taken into consideration.
Subhadip Roy   +4 more
doaj   +1 more source

Topology at the Planck Length [PDF]

open access: yes, 1997
A basic arbitrariness in the determination of the topology of a manifold at the Planck length is discussed. An explicit example is given of a `smooth' change in topology from the 2-sphere to the 2-torus through a sequence of noncommuting geometries ...
Aldrovandi R   +26 more
core   +4 more sources

⊤-Nets and ⊤-Filters [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
In this paper‎, ‎we develop a theory of $\top$-nets and study their relation to $\top$-filters‎. ‎We show that convergence in strong $L$-topological spaces can be described by both $\top$-nets and $\top$-filters and both concepts are equivalent in the ...
Gunther Jäger
doaj   +1 more source

Fuzzy topology and fuzzy geometry of the topological concepts

open access: yesIOP Conference Series: Materials Science and Engineering, 2020
Abstract The typical approach to analyze the images in terms of recognition and further interpretation is to obtain an extension of the conventional geometry to the fuzzy case. The fuzzy geometry, which consists of the topological and geometrical structures such as connectedness, adjacency, principle of surrounded-ness (areas seen as ...
Djavanshir Gadjiev, Aligadzhi Rustanov
openaire   +1 more source

Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space

open access: yesJournal of Mathematical and Fundamental Sciences, 2015
This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of
Apu Kumar Saha, Debasish Bhattacharya
doaj   +1 more source

On topological structures of fuzzy parametrized soft sets [PDF]

open access: yes, 2014
In this paper, we introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated basic properties of it.
Atmaca, Serkan, Zorlutuna, İdris
core   +5 more sources

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