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Intuitionistic fuzzy topological spaces [PDF]

, 2013
The present thesis consisting of three chapters is devoted to the study of Intuitionistic fuzzy topological spaces. After giving the fundamental denitions we have discussed the concepts of intuitionistic fuzzy continuity, intuitionistic fuzzy compactness,
Das , Smrutilekha
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α-PRECOMPACT SPACE IN FUZZY TOPOLOGICAL SPACE

JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023
In this paper we introduce and study a new type of compactness, viz., fuzzy α-precompactness by using fuzzy α-preopen set [1] as a basic tool. Here we also characterize this space by fuzzy net and prefilterbase. We have shown that fuzzy α-precompactness implies fuzzy almost compactness [4] and the converse is true only on fuzzy α-preregular space [1].
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The index of the overlap Dirac operator on a discretized 2d non-commutative torus

, 2007
The index, which is given in terms of the number of zero modes of the Dirac operator with definite chirality, plays a central role in various topological aspects of gauge theories. We investigate its properties in non-commutative geometry.
A. Bassetto, A. Bassetto, A. Connes, A. Connes, A. P. Balachandran, A. Sako, A.P. Balachandran, B.P. Dolan, D. J. Gross, D.J. Gross, F. Hofheinz, H. Aoki, H. Dorn, H. Kaneko, Hajime Aoki, I. Chepelev, J. A. Harvey, J. Ambjørn, J. Ambjørn, J. Ambjørn, J. Ambjørn, J. Ambjørn, J. Madore, J. Nishimura, J. Nishimura, J. Nishimura, J. Volkholz, Jun Nishimura, K. Landsteiner, K. Landsteiner, K.N. Anagnostopoulos, L. D. Paniak, L. Griguolo, L. Griguolo, M. Aganagic, M. B. Green, M. Cirafici, M. van Raamsdonk, N. Seiberg, P. Aschieri, R. Gopakumar, R.C. Myers, S. Minwalla, T. Azuma, T. Azuma, T. Azuma, T. Azuma, T. Azuma, T. Fujiwara, T.W. Chiu, W. Bietenholz, W. Bietenholz, W. Bietenholz, W. Bietenholz, W. Bietenholz, X. Martin, Yoshiaki Susaki, Z. Guralnik   +57 more
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More on Fuzzy Topological Spaces on Fuzzy Space

, 2021
The fuzzy topological space was introduced by Dip in 1999 depending on the notion of fuzzy spaces. Dip's approach helps to rectify the deviation in some definitions of fuzzy subsets in fuzzy topological spaces. In this paper, further definitions, and theorems on fuzzy topological space fill the lack in Dip's article.
Alkouri, Abd Ulazeez, Hazaimeh, Mohammad, Jawarneh, Ibrahim   +2 more
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Modeling Topological Relationships between Fuzzy Spatio-Temporal Objects

Journal of Computing and Information Technology, 2016
Topological relationships between spatio-temporal objects are the most fundamental elements in spatio-temporal database systems, GIS, and image database systems.
Haitao Cheng, Fu Zhang
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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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N-Fuzzy BI-Topological Space and Separation Axioms

Journal of New Theory, 2018
In this article, we introduced N-fuzzy bi-topological space by using the conceptsof fuzzy bi-topological space. We further define some basic properties of N-fuzzy bi-topologicalspaces, secondly we study the concepts of natural separation axioms of bi ...
Muhammad Shahzad, Muhammad Rahim, Saleem Abdullah, Faisal Khan   +3 more
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Decomposition of a Pythagorean fuzzy topological space and its application in determining topological relations between indeterminate spatial objects [PDF]

Journal of Fuzzy Extension and Applications
The fuzzy set generally identifies the topological relationship between two vague spatial objects. Indeterminacy can arise at any point in the modelling process, and the fuzzy model is unable to deal with this.
Subhankar Jana, Anjali Patel, Juthika Mahanta   +2 more
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Combinational reasoning of quantitative fuzzy topological relations for simple fuzzy regions. [PDF]

PLoS ONE, 2015
In recent years, formalization and reasoning of topological relations have become a hot topic as a means to generate knowledge about the relations between spatial objects at the conceptual and geometrical levels. These mechanisms have been widely used in
Bo Liu, Dajun Li, Yuanping Xia, Jian Ruan, Lili Xu, Huanyi Wu   +5 more
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Dynamical generation of a nontrivial index on the fuzzy 2-sphere

, 2004
In the previous paper hep-th/0312199 we studied the 't Hooft-Polyakov (TP) monopole configuration in the U(2) gauge theory on the fuzzy 2-sphere and showed that it has a nonzero topological charge in the formalism based on the Ginsparg-Wilson relation ...
A. Connes, A. Connes, A. P. Balachandran, A. P. Balachandran, A. Y. Alekseev, B. Ydri, H. Aoki, H. Grosse, Hajime Aoki, J. Nishimura, J. Nishimura, Keiichi Nagao, S. Iso, Satoshi Iso, T. Azuma, T. Fujiwara, Toshiharu Maeda, U. Carow-Watamura   +17 more
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