Academic literature on the topic 'Fuzzy homeomorphism'

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Journal articles on the topic "Fuzzy homeomorphism"

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Madhuri, V., Omar Bazighifan, Ali Hasan Ali, and A. El-Mesady. "On Fuzzy F ∗ -Simply Connected Spaces in Fuzzy F ∗ -Homotopy." Journal of Function Spaces 2022 (April 28, 2022): 1–6. http://dx.doi.org/10.1155/2022/9926963.

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In this paper, the notions of fuzzy F ∗ -simply connected spaces and fuzzy F ∗ -structure homeomorphisms are introduced, and further fuzzy F ∗ -structure homeomorphism between fuzzy F ∗ -path-connected spaces are studied. Also, it is shown that every fuzzy F ∗ -structure subspace of fuzzy F ∗ -simply connected space is fuzzy F ∗ -simply connected subspace. Further, the concepts of fuzzy F ∗ -contractible spaces and fuzzy F ∗ -retracts are introduced, and it is proved that every fuzzy F ∗ -contractible space is fuzzy F ∗ -simply connected.
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Ali, Safa Ezghair, and May A. A. Al-Yaseen. "Expansivity and shadowing in fuzzy metric space." Journal of Interdisciplinary Mathematics 27, no. 4 (2024): 753–60. http://dx.doi.org/10.47974/jim-1765.

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We define expansive and topological stability to homeomorphisms on F M - spaces. We offer some basic features of F - expansive homeomorphism. Further, we prove Walter’s theorem in the context from a F M - space, i.e., F- expansive with the F- shadowing feature is F - topologically stable.
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Ameen, Zanyar A., Tareq M. Al-shami, A. A. Azzam, and Abdelwaheb Mhemdi. "A Novel Fuzzy Structure: Infra-Fuzzy Topological Spaces." Journal of Function Spaces 2022 (April 7, 2022): 1–11. http://dx.doi.org/10.1155/2022/9778069.

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Obtaining a weaker condition that preserves some inspired topological properties is always desirable. As a result, we introduce the concept of infra-fuzzy topology, which is a subset family that degrades the concept of fuzzy topology by omitting the condition of closedness under arbitrary unions. Fundamental properties of infra-fuzzy topological spaces are investigated, including infra-fuzzy open and infra-fuzzy closed sets, infra-fuzzy interior and infra-fuzzy closure operators, and the infra-fuzzy boundary of a fuzzy set. It is not possible to expect the latter concepts to have properties id
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Y. Majeed, Saleem. "Fuzzy Semi Pre Homeomorphism in Fuzzy Topological Spaces." Ibn AL- Haitham Journal For Pure and Applied Sciences 33, no. 4 (2020): 73. http://dx.doi.org/10.30526/33.4.2511.

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The aim of this paper is to introduce and study new class of fuzzy function called fuzzy semi pre homeomorphism in a fuzzy topological space by utilizing fuzzy semi pre-open sets. Therefore, some of their characterization has been proved; In addition to that we define, study and develop corresponding to new class of fuzzy semi pre homeomorphism in fuzzy topological spaces using this new class of functions.
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N., Chitradevi, S.Ramkumar, and Dharani P. "INTUITIONISTIC FUZZY SUPRA CONTRA SEMI-HOMEOMORPHISM." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 11, no. 08 (2023): 3632–38. https://doi.org/10.5281/zenodo.8228678.

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The aim of the present paper is to introduce two classes of open mappings using intuitionistic fuzzy supra open sets and semi-supra open sets in intuitionistic fuzzy supra topological spaces. It is nothing but, the image of  intuitionistic fuzzy supra open set (resp. supra open) is intuitionistic fuzzy semi-supra closed set (resp. supra closed)  in co-domain space. Moreover , a  few of their significant properties have been studied.  A necessary and sufficient condition for intuitionistic fuzzy supra contra semi-open mapping has been derived in terms of semi-supra closure a
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Mahmood, Majd Hamid. "On α-Fuzzy Soft Irreducible Spaces". Al-Mustansiriyah Journal of Science 34, № 1 (2023): 65–70. http://dx.doi.org/10.23851/mjs.v34i1.1215.

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We define fuzzy soft irreducible sets, a-fuzzy soft irreducible sets in fuzzy soft topological spaces and study the properties including (fuzzy soft continuity; fuzzy soft homeomorphism and fuzzy soft topological properties) on a-fuzzy soft irreducible sets.
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Zhang, Guan, and Shi Zhong Bai. "Further Inquiry of Semi-Separation Axioms." Advanced Materials Research 846-847 (November 2013): 1036–39. http://dx.doi.org/10.4028/www.scientific.net/amr.846-847.1036.

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In this paper, we introduce inclusive completely semi-regular space in L-fuzzy topology spaces and discuss some of its properties. Then, we introduce semi-homeomorphism and show inclusive completely semi-regular space is preserved under semi-homeomorphism.
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Gunduz (Aras), Cigdem, and Sadi Bayramov. "Some Results on Fuzzy Soft Topological Spaces." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/835308.

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We introduce some important properties of fuzzy soft topological spaces. Furthermore, fuzzy soft continuous mapping, fuzzy soft open and fuzzy soft closed mappings, and fuzzy soft homeomorphism for fuzzy soft topological spaces are given and structural characteristics are discussed and studied.
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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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Halakatti, S. C. P., and Archana Halijol. "Fuzzy smooth homotopy on fuzzy Banach manifold." Journal of Advanced Studies in Topology 8, no. 2 (2017): 117. http://dx.doi.org/10.20454/jast.2017.1293.

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In this paper the structure of fuzzy Banach manifolds has been enriched by inducing three different equivalence relations on fuzzy Banach atlases. Also a Network fuzzy Banach manifold has been defined admitting two equivalence relation and two group structures. Further we define fuzzy smooth homotopy on fuzzy Banach manifold and the study has been extended for three different fuzzy path connectedness inducing equivalence relations and fundamental group structure which is invariant under fuzzy homeomorphism.
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Book chapters on the topic "Fuzzy homeomorphism"

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Wang, Huadong, Sicong Guo, and Yong Shi. "Homeomorphism Between Fuzzy Number Space and the Space of Bounded Functions with Same Monotonicity on $$[-1,1]$$ [ - 1 , 1 ]." In Data Science. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-24474-7_11.

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