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Relevant bibliographies by topics / Fuzzy -Ext Sober Space

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Academic literature on the topic 'Fuzzy -Ext Sober Space'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Fuzzy -Ext Sober Space"

1

B., Amudhambigai, and Madhuri V. "A STUDY ON FUZZY ALPHA - Ext SOBER SPACES." International Journal of Scientific Research and Modern Education 2, no. 2 (2017): 56–62. https://doi.org/10.5281/zenodo.1028261.

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In this paper, the new concept of Fuzzy <strong> </strong>-Exterior Sober Space (briefly, F -Ext Sober Space) is introduced. Two extension theorems for Fuzzy <strong> </strong>-Ext Sober Space are studied using fuzzy quasi-homeomorphism. In this connection, some equivalent statements for fuzzy <strong> </strong>-Ext Sober Spaces are also established.

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2

YAO, WEI. "Lattice-valued Scott topology on dcpos." Mathematical Structures in Computer Science 27, no. 4 (2015): 516–29. http://dx.doi.org/10.1017/s0960129515000201.

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This paper studies the fuzzy Scott topology on dcpos with a *-continuous semigroup (L, *) as the truth value table. It is shown that the fuzzy Scott topological space on a continuous dcpo is an ιL-sober space. The fuzzy Scott topology is completely distributive iff L is completely distributive and the underlying dcpo is continuous. For (L, *) being an integral quantale, semantics of L-possibility of computations is studied by means of a duality.

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3

Zhang, Yujing, and Kaiyun Wang. "Bounded sobriety and k-bounded sobriety of Q-cotopological spaces." Filomat 33, no. 7 (2019): 2095–106. http://dx.doi.org/10.2298/fil1907095z.

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In this paper, we extend bounded sobriety and k-bounded sobriety to the setting of Q-cotopological spaces, whereQis a commutative and integral quantale. The main results are: (1) The category BSobQ-CTop of all bounded sober Q-cotopological spaces is a full reflective subcategory of the category SQ-CTop of all stratified Q-cotopological spaces; (2) We present the relationships among Hausdorff, T1, sobriety, bounded sobriety and k-bounded sobriety in the setting ofQ-cotopological spaces; (3) For a linearly ordered quantale Q, a topological space X is bounded (resp., k-bounded) sober if and only

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4

Liu, Bin, Long Wang, and Hai Yan Liu. "FCM Segmentation Algorithm Research for CT Cerebrovascular Medical Image Based on Sober Extraction Algorithm." Applied Mechanics and Materials 263-266 (December 2012): 2203–6. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.2203.

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In this paper, linking with the basic principle of FCM (Fuzzy c-means clustering) algorithm, on the basis of theory research, a method of the cluster analysis of FCM based on sober extraction algorithm is proposed. To insure the quality of image reconstruction and the edge information extraction, the characters of sober operator is analyzed. Firstly, the approximate optimal solution obtained by the improved FCM algorithm is taken as the original value, then combined with intensity-texture-position feature space in order to produce connected regions shown in the image. The final segmentation re

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5

"Fuzzy á –Ψ *–Irreducible Spaces". International Journal of Recent Technology and Engineering 9, № 1 (2020): 208–11. http://dx.doi.org/10.35940/ijrte.f9132.059120.

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In this paper, the concept of  * operator on a family of fuzzy   open sets in a fuzzy topological space is introduced. Also, the concepts of fuzzy   *  irreducible spaces, fuzzy   *  generic sets and fuzzy   *  quasi-Sober spaces are initiated and some properties are discussed.

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