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Relevant bibliographies by topics / Fuzzy bitopology

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Journal articles

Academic literature on the topic 'Fuzzy bitopology'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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Journal articles on the topic "Fuzzy bitopology"

1

Alshammari, Ibtesam, Omar H. Khalil, and A. Ghareeb. "A New Representation of Semiopenness of L-fuzzy Sets in RL-fuzzy Bitopological Spaces." Symmetry 13, no. 4 (2021): 611. http://dx.doi.org/10.3390/sym13040611.

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In this paper, we introduce a new representation of semiopenness of L-fuzzy sets in RL-fuzzy bitopological spaces based on the concept of pseudo-complement. The concepts of pairwise RL-fuzzy semicontinuous and pairwise RL-fuzzy irresolute functions are extended and discussed based on the (i,j)-RL-semiopen gradation. Further, pairwise RL-fuzzy semi-compactness of an L-fuzzy set in RL-fuzzy bitopological spaces are given and characterized. As RL-fuzzy bitopology is a generalization of L-bitopology, RL-bitopology, L-fuzzy bitopology, and RL-fuzzy topology, the results of our paper are more genera

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2

Khalil, O. H., K. E. El-Helow, and A. Ghareeb. "Preopenness Degree in R L -Fuzzy Bitopological Spaces." Abstract and Applied Analysis 2022 (February 11, 2022): 1–8. http://dx.doi.org/10.1155/2022/9210694.

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Based on the concept of pseudocomplement, we introduce a new representation of preopenness of L -fuzzy sets in R L -fuzzy bitopological spaces. The concepts of pairwise R L -fuzzy precontinuous and pairwise R L -fuzzy preirresolute functions are extended and discussed based on the i , j - R L -preopen gradation. Further, we follow up with a study of pairwise R L -fuzzy precompactness in R L -fuzzy bitopological spaces of an L -fuzzy set. We find that our paper offers more general results since R L -fuzzy bitopology is a generalization of L -bitopology, R L -bitopology, and L -fuzzy topology.

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3

Ahmed Alharbi, Ahlam, and Adem Kilicman. "On Generalized Compactness in Fuzzy Bitopological Spaces." European Journal of Pure and Applied Mathematics 17, no. 1 (2024): 30–41. http://dx.doi.org/10.29020/nybg.ejpam.v17i1.5027.

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The main objective of this research is to study some types of generalized closed sets in fuzzy bitopology including $(i,j)-g\alpha-cld$, $(i,j)-gs-cld$, $(i,j)-gp-cld$, and $(i,j)-g\beta-cld$. We then present basic theorems for determining their relationships and explain their properties, such as closure and interior. In addition, there are many interesting counterexamples. The last part of the research focuses on generalized compactness in fuzzy bitopological spaces and their types and explores the relationships between these concepts, their important theories, and some relevant counterexampl

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4

Nagoor Gani, A., and J. Rameeza Bhanu. "FUZZY PAIRWISE COMPACTNESS AND FUZZY PAIRWISE a, b, g COMPACTNESS IN FUZZY BITOPOLOGY." Advances in Mathematics: Scientific Journal 9, no. 11 (2020): 10181–87. http://dx.doi.org/10.37418/amsj.9.12.10.

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5

Miah, Saikh Shahjahan, Ranapati Ronjon, and Nigar Sultana. "An in-depth exploration of intuitionistic fuzzy T_0 in the context of bitopology." Notes on Intuitionistic Fuzzy Sets 30, no. 1 (2024): 66–76. http://dx.doi.org/10.7546/nifs.2024.30.1.66-76.

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Intuitionistic fuzzy topological space and bitopological space have been introduced by using the concepts of intuitionistic fuzzy sets which are the generalizations of interval valued fuzzy sets. This paper commences by presenting the notion of intuitionistic fuzzy T0 in the context of bitopological spaces (IFB-T0). Subsequently, we explore various connections and relationships between these concepts. Then, we find out the relation between intuitionistic T0 and IFB-T0 spaces. Further, we investigated continuity between two IFB spaces.

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6

Miah, Md Hannan, та Md Ruhul Amin. "Some Features of Pairwise α-T1 Spaces in Supra Fuzzy Bitopology". Annals of Pure and Applied Mathematics 22, № 02 (2020): 97–106. http://dx.doi.org/10.22457/apam.v22n2a05706.

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7

Al, Ghour Samer, and Almothana Azaizeh. "Fuzzy Homogeneous Bitopological Spaces." International Journal of Electrical and Computer Engineering (IJECE) 8, no. 6 (2018): 4619–25. https://doi.org/10.11591/ijece.v8i6.pp4619-4625.

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We continue the study of the concepts of minimality and homogeneity in the fuzzy context. Concretely, we introduce two new notions of minimality in fuzzy bitopological spaces which are called minimal fuzzy open set and pairwise minimal fuzzy open set. Several relationships between such notions and a known one are given. Also, we provide results about the transformation of minimal, and pairwise minimal fuzzy open sets of a fuzzy bitopological space, via fuzzy continuous and fuzzy open mappings, and pairwise continuous and pairwise open mappings, respectively. Moreover, we present two new notion

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8

Miah, MD Hannan. "SOME FEATURES OF PAIRWISE 𝜶−𝑻𝟎 SPACES IN SUPRA FUZZY BITOPOLOGY". JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES 15, № 11 (2020). http://dx.doi.org/10.26782/jmcms.2020.11.00001.

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Four concepts of supra fuzzy pairwise 𝑇𝟎 bitopological spaces are introduced and studied in this paper. We also establish some relationships among them and study some other properties of these spaces.

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9

Miah, Md Hannan, та Ruhul Amin. "SOME FEATURES OF PAIRWISE α-R0 SPACES IN SUPRA FUZZY BITOPOLOGY". JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES 19, № 10 (2024). http://dx.doi.org/10.26782/jmcms.2024.10.00011.

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This paper introduces and studies four concepts of supra fuzzy bitopological spaces. We have exhibited that all these four concepts are ‘good extensions’ of the corresponding concepts bitopological spaces and building relationships among them. It has been justified that all the definitions are hereditary, productive, and projective. Furthermore, additional properties of these concepts are studied.

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10

"Some features of pairwise α-T_2 spaces in supra fuzzy bitopology". Journal of Mathematical and Computational Science, 2021. http://dx.doi.org/10.28919/jmcs/5183.

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