Results 1 to 10 of about 2,611 (157)

Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space

open access: yesJournal of Mathematical and Fundamental Sciences, 2015
This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of
Apu Kumar Saha, Debasish Bhattacharya
doaj   +3 more sources

Topological relations between fuzzy regions in a fuzzy topological space

open access: yesInternational Journal of Applied Earth Observation and Geoinformation, 2010
Abstract Topological relations are one of the most important aspects in GIS modeling. The topological relations between crisp spatial objects have been well identified. However, the topological relations between fuzzy spatial objects need more investigation. This paper deals with building a special fuzzy topological space for fuzzy sets. Based on it,
Wolfgang Kainz
exaly   +3 more sources

An investigation on the recurrent function of the Pythagorean fuzzy cellular topological dynamical system [PDF]

open access: yesHeliyon
This study is about Pythagorean fuzzy cellular topological dynamical system which is generated using Pythagorean fuzzy cellular space. A dynamical system receives input for a certain function and performs an iterative procedure for that same function.
Gnanachristy N B, Revathi G K
doaj   +2 more sources

Fuzzy Ideal Supra Topological Spaces [PDF]

open access: yesAdvances in Fuzzy Systems, 2020
In this paper, we introduce the notion of fuzzy ideals in fuzzy supra topological spaces. The concept of a fuzzy s-local function is also introduced here by utilizing the s-neighbourhood structure for a fuzzy supra topological space.
Fadhil Abbas
doaj   +3 more sources

Fuzzy metric topology space and manifold [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2023
This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
doaj   +1 more source

Characterization of Topological Fuzzy Sets in Hausdorff Spaces [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2022
In this paper, we have characterized big data fuzzy sets and shown that topological data points form singleton fuzzy sets which are closed. Besides, fuzzy sets of topological data points are compact and have at least one closed point.
Benard Okelo, Allan Onyango
doaj   +1 more source

An Introduction to Fuzzy Topological Spaces

open access: yesAdvances in Pure Mathematics, 2021
Topology has enormous applications on fuzzy set. An attention can be brought to the mathematicians about these topological applications on fuzzy set by this article. In this research, first we have classified the fuzzy sets and topological spaces, and then we have made relation between elements of them.
Ishrat Zahan, Rehena Nasrin
openaire   +2 more sources

Generalized fuzzy closed sets in generalized fuzzy topological spaces [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2019
This paper aims to put forward one more difference between generalized topological space and generalized fuzzy topological space via generalized closed set in the respective fields.
Jayasree Chakraborty   +2 more
doaj   +1 more source

A Relations between π Generalized α Connectedness and π Generalized Semi Connectedness in Intuitionistic Fuzzy Topological Spaces

open access: yesTikrit Journal of Pure Science, 2023
The purpose of this paper is to introduce the concepts of intuitionistic fuzzy  generalized  α  connectedness in intuitionistic fuzzy topological space and study some of its properties.
Ayad H. Khalaf, Samer R. Yassen
doaj   +1 more source

Bipolar Fuzzy Supra Topological Spaces

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
In the present work, we introduce bipolar fuzzy supra topological space as a generalization of fuzzy supra topological space, investigate the basic properties, give the concepts of interior and closure and encouraged them by examples and counterexamples.
Hami Malkoç, Banu Pazar Varol
doaj   +1 more source

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