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A Unified Theory on Some Basic Topological Concepts  [PDF]
T. Hatice Yalvac
Mathematics , 2008,
Abstract: Several mathematicians, including myself, have studied some unifications in general topological spaces as well as in fuzzy topological spaces. For instance in our earlier works, using operations on topological spaces, we have tried to unify some concepts similar to continuity, openness, closedness of functions, compactness, filter convergence, closedness of graphs, countable compactness and Lindelof property. In this article, to obtain further unifications, we will study $\phi_{1,2}$-compactness and relations between $\phi_{1,2}$-compactness, filters and $\phi_{1,2}$% -closure operator.
-fuzzifying topological vector spaces
Cong-Hua Yan,Cong-Xin Wu
International Journal of Mathematics and Mathematical Sciences , 2005, DOI: 10.1155/ijmms.2005.2081
Abstract: The main purpose of this paper is to introduce a concept of L-fuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding L-fuzzifying neighborhood structure of the zero element is given. Finally, the conclusion that the category of L-fuzzifying topological vector spaces is topological over the category of vector spaces is proved.
GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS
Huang,Chun-E;
Proyecciones (Antofagasta) , 2010, DOI: 10.4067/S0716-09172010000100003
Abstract: in this paper, a fuzzifying matroid is induced respectively from a fuzzy graph and a fuzzy vector subspace. the concepts of graphic fuzzifying matroid and representable fuzzifying matroid are presented and some properties of them are discussed. in general, a graphic fuzzifying matriod can not be representable over any field. but when a fuzzifying matroid is isomorphic to a fuzzifying cycle matroid which is induced by a fuzzy tree, it is a representable over any field.
GRAPHIC AND REPRESENTABLE FUZZIFYING MATROIDS  [cached]
Chun-E Huang
Proyecciones (Antofagasta) , 2010,
Abstract: In this paper, a fuzzifying matroid is induced respectively from a fuzzy graph and a fuzzy vector subspace. The concepts of graphic fuzzifying matroid and representable fuzzifying matroid are presented and some properties of them are discussed. In general, a graphic fuzzifying matriod can not be representable over any field. But when a fuzzifying matroid is isomorphic to a fuzzifying cycle matroid which is induced by a fuzzy tree, it is a representable over any field.
Completely regular fuzzifying topological spaces  [PDF]
A. K. Katsaras
International Journal of Mathematics and Mathematical Sciences , 2005, DOI: 10.1155/ijmms.2005.3781
Abstract: Some of the properties of the completely regular fuzzifying topological spaces are investigated. It is shown that a fuzzifying topology τ is completely regular if and only if it is induced by some fuzzy uniformity or equivalently by some fuzzifying proximity. Also, τ is completely regular if and only if it is generated by a family of probabilistic pseudometrics.
Fuzzy -open sets and fuzzy -continuity in fuzzifying topology
T. Noiri,O. R. Sayed
International Journal of Mathematics and Mathematical Sciences , 2002, DOI: 10.1155/s0161171202007755
Abstract: The concepts of fuzzy cγ-open sets and fuzzy cγ-continuity are introduced and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced.
M-FUZZIFYING BASES
Xin,Xiu; Shi,Fu-Gui;
Proyecciones (Antofagasta) , 2009, DOI: 10.4067/S0716-09172009000300007
Abstract: in this paper, we continue the study of m-fuzzifying matroids. we define the notion of an m-fuzzifying base and discuss some properties of the dual matroids of basic m-fuzzifying matroids.
M-FUZZIFYING BASES  [cached]
Xiu Xin,Fu-Gui Shi
Proyecciones (Antofagasta) , 2009,
Abstract: In this paper, we continue the study of M-fuzzifying matroids. We define the notion of an M-fuzzifying base and discuss some properties of the dual matroids of basic M-fuzzifying matroids.
Anisotropic hydrodynamics -- basic concepts  [PDF]
Wojciech Florkowski,Mauricio Martinez,Radoslaw Ryblewski,Michael Strickland
Physics , 2013,
Abstract: Due to the rapid longitudinal expansion of the quark-gluon plasma created in relativistic heavy ion collisions, potentially large local rest frame momentum-space anisotropies are generated. The magnitude of these momentum-space anisotropies can be so large as to violate the central assumption of canonical viscous hydrodynamical treatments which linearize around an isotropic background. In order to better describe the early-time dynamics of the quark gluon plasma, one can consider instead expanding around a locally anisotropic background which results in a dynamical framework called anisotropic hydrodynamics. In this proceedings contribution we review the basic concepts of the anisotropic hydrodynamics framework presenting viewpoints from both the phenomenological and microscopic points of view.
Some Basic Concepts of Perturbative QCD
Sterman, George
High Energy Physics - Phenomenology , 2008,
Abstract: This is a brief review of some of the basic concepts of perturbative QCD, including infrared safety and factorization, relating them to more familiar ideas from quantum mechanics and relativity. It is intended to offer perspective on methods and terms whose use is commonplace, but whose physical origins are sometimes obscure.
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