Relevant bibliographies by topics / Intuitionistic fuzzy topology

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Intuitionistic fuzzy topology'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Intuitionistic fuzzy topology"

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Sayed, Osama R., Ayman A. Aly, and Shaoyu Zhang. "Intuitionistic Fuzzy Topology Based on Intuitionistic Fuzzy Logic." Symmetry 14, no. 8 (2022): 1613. http://dx.doi.org/10.3390/sym14081613.

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There are many symmetries in intuitionistic fuzzifying topology. In the present paper, the notion of intuitionistic fuzzifying topology as an extension of fuzzifying topology and a preliminary of the research on bi-intuitionistic fuzzy topology is introduced. A theory of intuitionistic fuzzy topology with the semantic method of intuitionistic fuzzy logic is established.
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Yun, Sang Min, and Seok Jong Lee. "Intuitionistic Fuzzy Topology and Intuitionistic Fuzzy Preorder." International Journal of Fuzzy Logic and Intelligent Systems 15, no. 1 (2015): 79–86. http://dx.doi.org/10.5391/ijfis.2015.15.1.79.

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Sharma, Poonam Kumar. "Zariski topology on the spectrum of intuitionistic fuzzy classical primary submodules." Notes on Intuitionistic Fuzzy Sets 30, no. 3 (2024): 203–14. http://dx.doi.org/10.7546/nifs.2024.30.3.203-214.

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In this paper, we define and study the notion of intuitionistic fuzzy classical primary submodules over a unitary $R$-module $M$, where $R$ is a commutative ring with unity. This is a generalisation of intuitionistic fuzzy primary ideals and intuitionistic fuzzy classical prime submodules. We further topologize the collection of all intuitionistic fuzzy submodules on an $R$-module $M$ with a topology having the intuitionistic fuzzy primary Zariski topology on the intuitionistic fuzzy classical primary spectrum $IF_{cp}spec(M)$ as a subspace topology and investigate the properties of this topol
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Khan, Vakeel, and Mohd Faisal. "Some topological properties of intuitionistic fuzzy quasi normed space." Filomat 38, no. 25 (2024): 8907–16. https://doi.org/10.2298/fil2425907k.

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We establish the concept of an intuitionistic fuzzy quasi-normed space and provide an illustrative example. Through our exploration, we ascertain that an intuitionistic fuzzy quasi-norm can indeed transition into an intuitionistic fuzzy norm. However, it is worth noting that not every topology that supports intuitionistic fuzzy quasi-norms can be classified as metrizable. We establish the definitions of open balls and sequence convergence within intuitionistic fuzzy quasi-normed spaces. Additionally, we introduce the concepts of left/right N-Cauchy sequences, both in the context of topologNy ?
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Lupianez, Francisco Gallego. "Intuitionistic fuzzy topological operators and topology." International Journal of Pure and Applied Mathematics 17, no. 1 (2004): 35–40. https://doi.org/10.5281/zenodo.12698908.

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The introduction of intuitionistic fuzzy sets is due to K.T. Atanassov who, also, defined various topological operators for these sets. D. Çoker defined the intuitionistic fuzzy topological spaces. In this paper we show relations between Atanassov’s topological operators and Çoker's intuitionistic fuzzy topology.
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ABDULMULA, KAREMA SALEH, and ZIENEB ALI ELSHEGMANI. "ATANASSOV’S INTUITIONISTIC FUZZY TOPOLOGY BASED ON THE SPACE OF INTUITIONISTIC FUZZY REAL NUMBERS (IFRN)." International Science and Technology Journal 36, no. 2 (2025): 1–15. https://doi.org/10.62341/kzai3600.

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This study presents a new perspective on intuitionistic fuzzy topology through the integration of intuitionistic fuzzy real numbers and universal sets. Using theoretical foundations and operations developed by Atanassov and extended by Davvaz and others, we construct a topological framework that supports generalized fuzzy reasoning. The research introduces definitions and algebraic structures for intuitionistic fuzzy real numbers, explores topological convergence and continuity, and establishes their role in defining new fuzzy functions. This framework enhances expressive power in handling unc
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Mahbub, Md Aman, Md Sahadat Hossain, and M. Altab Hossain. "Connectedness concept in intuitionistic fuzzy topological spaces." Notes on Intuitionistic Fuzzy Sets 27, no. 1 (2021): 72–82. http://dx.doi.org/10.7546/nifs.2021.27.1.72-82.

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The purpose of this paper is to establish the connectedness in intuitionistic fuzzy topological space. In this paper we give six notions of separatedness, connectedness and total connectedness and one notion of T1-space in intuitionistic fuzzy topological space. Also, we find a relation between classical topology and intuitionistic fuzzy topology. Further, we show that connectedness in intuitionistic fuzzy topological spaces are productive and we demonstrate some of its features.
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Mahbub, Md Aman, Md Sahadat Hossain, and M. Altab Hossain. "On (r, s)-connectedness in intuitionistic fuzzy topological spaces." Notes on Intuitionistic Fuzzy Sets 28, no. 1 (2022): 23–36. http://dx.doi.org/10.7546/nifs.2022.28.1.23-36.

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The aim of this paper is to establish the (r, s)-connectedness in intuitionistic fuzzy topological space. Here we give two new notions of (r, s)-connectedness and total (r, s)-connectedness in intuitionistic fuzzy topological space. Also, we find a relation about classical topology and intuitionistic fuzzy topology. Furthermore, using some provisos we will show that (r, s)-connectedness in intuitionistic fuzzy topological spaces are productive and some of its features.
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Thumbakara, Rajesh K. "On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes." Journal of Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/793824.

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Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe. It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes.
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Lee, Seok Jong, and Eun Pyo Lee. "Intuitionistic fuzzy proximity spaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 49 (2004): 2617–28. http://dx.doi.org/10.1155/s0161171204310033.

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We introduce the concept of the intuitionistic fuzzy proximity as a generalization of fuzzy proximity, and investigate its properties. Also we investigate the relationship among intuitionistic fuzzy proximity and fuzzy proximity, and intuitionistic fuzzy topology.
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Dissertations / Theses on the topic "Intuitionistic fuzzy topology"

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Das, Smrutilekha. "Intuitionistic fuzzy topological spaces." Thesis, 2013. http://ethesis.nitrkl.ac.in/5165/1/411MA2073.pdf.

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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, and separation axioms, that is, intuitionistic fuzzy Hausdorff space, intuitionistic fuzzy regular space, intuitionistic fuzzy normal space etc.
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Book chapters on the topic "Intuitionistic fuzzy topology"

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Jacob, Abraham, and P. B. Ramkumar. "Intuitionistic Fuzzy Graph Morphological Topology." In Topological Dynamics and Topological Data Analysis. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-0174-3_21.

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Kisi, Omer, and Erhan Guler. "Results on Arithmetic Statistically Convergence of Double Sequences on Intuitionistic Fuzzy Normed Spaces." In Advances in Algebra Analysis and Topology. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781032634142-9.

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Conference papers on the topic "Intuitionistic fuzzy topology"

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Tyagi, Kanchan, and Alka Tripathi. "Equalities based on rough intuitionistic fuzzy topology." In MATHEMATICAL SCIENCES AND ITS APPLICATIONS. Author(s), 2017. http://dx.doi.org/10.1063/1.4973268.

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Tao Feng, Shao-Pu Zhang, Ju-Sheng Mi, and Yan Li. "Intuitionistic fuzzy topology space based on fuzzy rough sets." In 2009 International Conference on Machine Learning and Cybernetics (ICMLC). IEEE, 2009. http://dx.doi.org/10.1109/icmlc.2009.5212420.

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You might also be interested in the extended bibliographies on the topic 'Intuitionistic fuzzy topology' for particular source types:
Journal articles
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