Results 61 to 70 of about 6,351 (164)

On Diminishing Fuzzy Neutrosophic Topological Spaces over Nano Topology [PDF]

Neutrosophic Sets and Systems
As an extension and also, a necessity to compute the indeterminacy, the concept of diminishing fuzzy sets is protracted to introduce the conception of diminishing fuzzy (single-valued) neutrosophic sets in the standard unit interval.
Jansirani N, Vasugi T, Kamal Nasir V
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A Tychonoff theorem in intuitionistic fuzzy topological spaces

International Journal of Mathematics and Mathematical Sciences, 2004
The purpose of this paper is to prove a Tychonoff theorem in the so-called “intuitionistic fuzzy topological spaces.” After giving the fundamental definitions, such as the definitions of intuitionistic fuzzy set, intuitionistic fuzzy topology ...
Doğan Çoker, A. Haydar Eş, Necla Turanli   +2 more
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Topological relations between fuzzy regions in a fuzzy topological space

International Journal of Applied Earth Observation and Geoinformation, 2010
Abstract Topological relations are one of the most important aspects in GIS modeling. The topological relations between crisp spatial objects have been well identified. However, the topological relations between fuzzy spatial objects need more investigation. This paper deals with building a special fuzzy topological space for fuzzy sets. Based on it,
Tang, Xinming, Kainz, Wolfgang, Wang, Hongyan   +2 more
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p-Regularity and p-Regular Modification in ⊤-Convergence Spaces

Mathematics, 2019
Fuzzy convergence spaces are extensions of convergence spaces. ⊤-convergence spaces are important fuzzy convergence spaces. In this paper, p-regularity (a relative regularity) in ⊤-convergence spaces is discussed by two equivalent approaches. In addition,
Qiu Jin, Lingqiang Li, Guangming Lang
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Fuzzy Topological Spaces [PDF]

(1) We define normality for fuzzy topological spaces, define a fuzzy unit interval, and prove a Urysohn type lemma.\ud \ud (2) We define uniformities on fuzzy lattices, and characterise uniformizability in terms of complete regularity.\ud \ud (3) We define the product of a collection of fuzzy topological spaces. We define compactness and connectedness,
Safoura Rezaei Aderyani, Reza Saadati, Chenkuan Li, Tofigh Allahviranloo   +3 more
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Extension of Krull's intersection theorem for fuzzy module [PDF]

Sahand Communications in Mathematical Analysis, 2017
‎In this article we introduce $mu$-filtered fuzzy module with a family of fuzzy submodules.  It shows the relation between $mu$-filtered fuzzy modules and crisp filtered modules by level sets.
Ali Reza Sedighi, Mohammad Hossein Hosseini   +1 more
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Some Properties of Fuzzy Quasimetric Spaces

International Journal of Mathematics and Mathematical Sciences, 2010
Some properties of fuzzy quasimetric spaces are studied. We prove that the topology induced by any 0𝑥0005𝑒𝑀-complete fuzzy-quasi-space is a 0𝑥0005𝑒𝑑-complete quasimetric space. We also prove Baire's theorem, uniform limit theorem, and second countability
Abdul Mohamad
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Some Properties of Fuzzy Soft Proximity Spaces

The Scientific World Journal, 2015
We study the fuzzy soft proximity spaces in Katsaras’s sense. First, we show how a fuzzy soft topology is derived from a fuzzy soft proximity. Also, we define the notion of fuzzy soft δ-neighborhood in the fuzzy soft proximity space which offers an ...
İzzettin Demir, Oya Bedre Özbakır
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Fuzzy topological spaces

Journal of Mathematical Analysis and Applications, 1985
This paper uses various ideas from the literature: fuzzy points, quasi- coincidence, Lowen's initial topology, and product-induced topologies, which are spaces of lower semi-continuous functions constructed by a variation of the hypergraph functor. These tools form the basis for a transference technique, which allows the author to produce a system of ...
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Generalized Forms of Upper and Lower Continuous Fuzzy Multifunctions

Journal of New Theory, 2019
In this paper, we introduce the concepts of upper and lower (\alpha, \beta, \theta, \delta, \ell)-continuous fuzzy multifunctions. It is in order to unify several characterizations and properties of some kinds of modifications of fuzzy  ...
İsmail Ibedou, Salah Abbas
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