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Journal articles on the topic 'Fuzzy irreducible closed sets'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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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

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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3

Riyadh Kareem, Noor, and . "Fuzzy tgp-closed sets and fuzzy t^* gp-closed sets." International Journal of Engineering & Technology 7, no. 4.36 (2018): 718. http://dx.doi.org/10.14419/ijet.v7i4.36.24229.

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In this paper, we aim to address the idea of fuzzy -set and fuzzy -set in fuzzy topological space to present new types of the fuzzy closed set named fuzzy -closed set and fuzzy -closed set. We will study several examples and explain the relations of them with other classes of fuzzy closed sets. Moreover, in a fuzzy locally indiscrete space we can see that these two sets are the same.

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4

Thirumagal, M. R., and P. Murugadas. "\(Q_1\)- fuzzy quasi ideals in semiring." International Journal of Algebra and Statistics 6, no. 1-2 (2017): 144. http://dx.doi.org/10.20454/ijas.2017.1295.

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The authors in [9] introduced Q1 -fuzzy set which is a natural generalization Q-fuzzy sets studied by [5, 7, 12, 13] and studied some results related to level subsets of Q1 -fuzzy set. In this study composition of two Q1 -fuzzy sets, Q1 -fuzzy points, Q1 -fuzzy quasi (prime, semiprime, irreducible, strongly irreducible) ideals are defined and revealed some related properties of these mentioned ideals. Further Q1 -fuzzy left (right) ideals generated by fuzzy points are exhibited and some quasi-ideals in terms of idempotent Q1 -fuzzy points are found.

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5

Das, Sumita, and M. N. Mukherjee. "Fuzzy generalized closed sets via fuzzy grills." Filomat 26, no. 3 (2012): 563–71. http://dx.doi.org/10.2298/fil1203563d.

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In this paper we introduce a kind of generalized fuzzy closed sets in terms of fuzzy grills, termed G1f -closed sets, and discuss their basic properties. We also define G1f -continuity and characterize it by G1f -closed sets. We further define G1f -regularity and G1f -normality and study their behaviours by means of G1f -closed sets.

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6

El-Shafei, M. E., та A. H. Zakari. "Wθg-Closed andWδg-Closed in[0,1]-Topological Spaces". International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–10. http://dx.doi.org/10.1155/2011/853870.

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We investigate various classes of generalized closed fuzzy sets in[0,1]-topological spaces, namely,Wθg-closed fuzzy sets andWδg-closed fuzzy sets. Also, we introduce a new separation axiomFT3/4∗of the[0,1]-topological spaces, and we prove that everyFT3/4∗-space is aFT3/4-space. Furthermore, we using the new generalized closed fuzzy sets to construct new types of fuzzy mappings.

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7

Fatimah, M. Mohammed, and F. Matar Shaymaa. "Fuzzy Neutrosophic Alpha m-Closed Sets in Fuzzy Neutrosophic Topological Spaces." Neutrosophic Sets and Systems 21 / 2018 (September 4, 2018): 56–65. https://doi.org/10.5281/zenodo.1408677.

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In this paper, we state a new class of sets and called them fuzzy neutrosophic Alpha m-closed sets, and we prove some theorem related to this definition. Then, we investigate the relation between fuzzy neutrosophic Alpha m-closed sets, fuzzy neutrosophic α closed sets, fuzzy neutrosophic closed sets, fuzzy neutrosophic semi closed sets and fuzzy neutrosophic pre closed sets. On the other hand, some properties of the fuzzy neutrosophic Alpha m-closed set are given.

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8

Poongothai, A., and R. Parimelazhagan. "Fuzzy sb*-Closed Sets." Asian Journal of Research in Social Sciences and Humanities 6, no. 6 (2016): 515. http://dx.doi.org/10.5958/2249-7315.2016.00226.4.

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9

Al-Hawary, Talal. "Fuzzy L-Closed sets." MATEMATIKA 33, no. 2 (2017): 241. http://dx.doi.org/10.11113/matematika.v33.n2.879.

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Our goal in this paper is to introduce the relatively new notions of fuzzy L-closed and fuzzy L-generalized closed sets. Several properties and connections to other well-known weak and strong fuzzy closed sets are discussed. Fuzzy L-generalized continuous and fuzzy L-generalized irresolute functions and their basic properties and relations to other fuzzy continuities are explored.

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10

AL-Hawary, Talal. "Fuzzy W-closed sets." Cogent Mathematics 4, no. 1 (2017): 1343518. http://dx.doi.org/10.1080/23311835.2017.1343518.

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11

VIDHYA, Parimelazhagan R., and Jafari S. "Fuzzy g*b-closed sets and Fuzzy g*b-Continuous maps in Fuzzy Topological spaces." Proyecciones (Antofagasta) 44, no. 1 (2025): 9–21. https://doi.org/10.22199/issn.0717-6279-5164.

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In this paper, we introduce fuzzy g*b-closed sets in fuzzy topological spaces and investigate their properties. This class is properly lies between the class of fuzzy b-closed sets and the class of fuzzy gb-closed sets. We also introduce some concept of fuzzy g*b-continuous maps, fuzzy g*b-irresolute maps, fuzzy g*b-closed maps, fuzzy g*b-open maps and fuzzy g*b-homeomorphism in fuzzy topological spaces and study some of their basic properties.

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12

J, Chandhini, and Uma N. "IFsgp*-Closed Sets, Open Sets in Intuitionistic Fuzzy Topological Spaces." International Journal for Research in Applied Science and Engineering Technology 10, no. 12 (2022): 1271–76. http://dx.doi.org/10.22214/ijraset.2022.48169.

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Abstract: In this paper, Intuitionistic fuzzy semi gp* - closed sets, Intuitionistic fuzzy semi gp* - open sets, and characteristics of Intuitionistic fuzzy semi gp* - closed sets are introduced. Here, we have also investigated their relations and properties with other Intuitionistic fuzzy sets

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13

Bhattacharya, Baby, Birojit Das, G. Sree Anusha та Jayasree Chakraborty. "Characterizations of generalized Fuzzy γ∗-closed sets". Proyecciones (Antofagasta) 42, № 6 (2023): 1435–65. http://dx.doi.org/10.22199/issn.0717-6279-5130.

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Generalized fuzzy open sets are playing a vital role in the study of fuzzy topological space as well as that of fuzzy bitopological space since its inception. More often, it is reported that fuzzy closed sets are always included in the family of generalized fuzzy closed sets. Very recently, it has appeared that fuzzy γ∗ -open sets are incomparable with fuzzy open sets. This paper aims to present three different kinds of fuzzy generalized closed sets in the light of fuzzy γ∗ -open set and associated closure operators with the terminologies- generalized fuzzy γ∗ -closed set, γ∗ -generalized fuzz

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14

R., Nandhini, and Amsaveni D. "Fine Fuzzy Closed Sets in Fine Fuzzy Topological Spaces." International Journal of Engineering and Advanced Technology (IJEAT) 9, no. 3 (2020): 1306–13. https://doi.org/10.35940/ijeat.C5222.029320.

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The main view of this article is the extended version of the fine topological space to the novel kind of space say fine fuzzy topological space which is developed by the notion called collection of quasi coincident of fuzzy sets. In this connection, fine fuzzy closed sets are introduced and studied some features on it. Further, the relationship between fine fuzzy closed sets with certain types of fine fuzzy closed sets are investigated and their converses need not be true are elucidated with necessary examples. Fine fuzzy continuous function is defined as the inverse image of fine fuzzy closed

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15

V.Chandrasekar and G.Anandajothi. "Another Theta Generalized Closed Sets in Fuzzy Topological Spaces." International Journal of Fuzzy Mathematical Archive 12, no. 01 (2017): 39–47. http://dx.doi.org/10.22457/ijfma.v12n1a5.

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In this paper, we introduce a new class of fuzzy generalized closed sets called fuzzy θ g‴-closed and its properties are investigated. Further, new concept of fuzzy θ g*s- closed, fuzzy g‴ θ - closed, fuzzy g*sθ -closed, and fuzzy g‴α θ - closed sets are introduced using it.

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16

Syau, Yu-Ru. "Closed and convex fuzzy sets." Fuzzy Sets and Systems 110, no. 2 (2000): 287–91. http://dx.doi.org/10.1016/s0165-0114(98)00082-7.

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17

Zádori, László. "Relational Sets and Categorical Equivalence of Algebras." International Journal of Algebra and Computation 07, no. 05 (1997): 561–76. http://dx.doi.org/10.1142/s0218196797000253.

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We study relation varieties, i.e. classes of relational sets (resets) of the same type that are closed under the formation of products and retracts. The notions of an irreducible reset and a representation of a reset are defined similarly to the ones for partially ordered sets. We give a characterization of finite irreducible resets. We show that every finite reset has a representation by minimal resets which are certain distinguished irreducible retracts. It turns out that a representation by minimal resets is a smallest one in some sense among all representations of a reset. We prove that no

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18

Kaur, Sandeep, Fathea M. Birkea, Alkan Özkan, Tareq AL-shami, and M. Omran. "Some New Characterizations of Open and Closed Fuzzy Mappings Inspired by Induced Mappings." European Journal of Pure and Applied Mathematics 18, no. 1 (2025): 5848. https://doi.org/10.29020/nybg.ejpam.v18i1.5848.

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In this paper, we use the induced mappings to obtain some new characterizations of open fuzzy mappings in connection with closures and closed fuzzy mappings in connection with interiors of fuzzy sets. We also investigate another representation of open fuzzy and closed fuzzy mappings under surjective mappings. Furthermore, we prove that images of saturated fuzzy sets under surjective open fuzzy and closed fuzzy mappings are closed fuzzy and open fuzzy sets, respectively. We furnish illustrative examples to elucidate the displayed results.

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19

Jamil, Jamil Mahmoud, Huda Amer Abdul Ameer, and Intisar Elaiwi Ubaid. "A fuzzy SWT-open in double fuzzy topological space." Journal of Interdisciplinary Mathematics 28, no. 3-A (2025): 691–701. https://doi.org/10.47974/jim-1964.

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In this present work, a novel category of fuzzy sets termed double fuzzy SWT-open sets is developed and studied, and its connections to earlier ideas are probed at. Some theorems and assertions are used illustrate the properties of this new class of double fuzzy sets. In addition, a stronger types of double fuzzy SWT-open sets are presented. Finally, we contest and characterize a double fuzzy generalized SWT-closed as applications to fuzzy SWT-closed.

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20

Taha, I. M. "On r -Generalized Fuzzy ℓ -Closed Sets: Properties and Applications". Journal of Mathematics 2021 (27 грудня 2021): 1–8. http://dx.doi.org/10.1155/2021/4483481.

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In the present study, we introduce and characterize the class of r -generalized fuzzy ℓ -closed sets in a fuzzy ideal topological space X , τ , ℓ in Šostak sense. Also, we show that r -generalized fuzzy closed set by Kim and Park (2002) ⟹ r -generalized fuzzy ℓ -closed set, but the converse need not be true. Moreover, if we take ℓ = ℓ 0 , the r -generalized fuzzy ℓ -closed set and r -generalized fuzzy closed set are equivalent. After that, we define fuzzy upper (lower) generalized ℓ -continuous multifunctions, and some properties of these multifunctions along with their mutual relationships ar

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21

J.Srikiruthika, *. A.Kalaichelvi. "FUZZY SUPRA β-OPEN SETS". INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, № 3 (2017): 375–80. https://doi.org/10.5281/zenodo.438093.

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22

C. Sivashanmugaraja. "More on Fuzzy Pre-γ-Open and Fuzzy Pre-γ-generalized Closed Sets". Annals of Pure and Applied Mathematics 25, № 02 (2022): 77–83. http://dx.doi.org/10.22457/apam.v25n2a03852.

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This study aims to continue the study of the properties of pre-γ-open and pre-γ-generalized closed sets in fuzzy topological spaces. Also, we introduce the concepts of fuzzy pre-γ-closed, fuzzy pre-γ-closure, fuzzy pre-γ-interior, and fuzzy preγ-generalized open sets. We prove that every fuzzy pre-γ-closed set is fuzzy pre-γgeneralized-closed but not converse. In addition, we introduce some characterizations and properties of these concepts. Finally, we investigate the relationship between these fuzzy sets.

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23

Khudair, Huda F., and Fatimah M. Mohammed. "Generalized of A-Closed Set and Ƈ- Closed Set in Fuzzy Neutrosophic Topological Spaces." International Journal of Neutrosophic Science 19, no. 2 (2022): 08–18. http://dx.doi.org/10.54216/ijns.190201.

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In this research paper, a new two classes of sets called fuzzy neutrosophic generalized A-closed sets and fuzzy neutrosophic generalized Ƈ-Closed sets in fuzzy neutrosophic topology are introduced and some of their properties have been investigated. We give some theorems, propositions and some necessary examples related to presented definitions. Then, we discuss the relations among the new defined sets.

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24

Bin Shahna, A. S. "Fuzzy boolean algebra of fuzzy regular closed sets." Fuzzy Sets and Systems 106, no. 2 (1999): 285–87. http://dx.doi.org/10.1016/s0165-0114(97)00247-9.

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25

Ahmad, B., and Athar Kharal. "Fuzzy Sets, Fuzzy S-Open and S-Closed Mappings." Advances in Fuzzy Systems 2009 (2009): 1–5. http://dx.doi.org/10.1155/2009/303042.

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Several properties of fuzzy semiclosure and fuzzy semi-interior of fuzzy sets defined by Yalvac (1988), have been established and supported by counterexamples. We also study the characterizations and properties of fuzzy semi-open and fuzzy semi-closed sets. Moreover, we define fuzzy s-open and fuzzy s-closed mappings and give some interesting characterizations.

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26

Gupta, Jyoti, and M. Shrivastava. "FUZZY PREOPEN SETS AND FUZZY PRE-CONTINUITY." jnanabha 50, no. 02 (2020): 44–48. http://dx.doi.org/10.58250/jnanabha.2020.50205.

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27

Kunal Kumar Singh and Dr. Raj Narayan Singh. "Study Of Generalization of Fuzzy Closed Sets." International Journal of Scientific Research in Science and Technology 11, no. 4 (2024): 559–64. https://doi.org/10.32628/ijsrst24115126.

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In this present paper, we consider to investigate the concepts in fuzzy topological spaces, a brief survey of relevant basic concepts and results of generalization of fuzzy closed sets. The concept of fuzzy set was first introduced by Lotfi Zadeh in 1965. After the discovery of Fuzzy set by Zadeh, thoughts of the Fuzzy topology have been discussed by Chang who introduced the concept of fuzzy topological spaces as an extension to classical topological spaces. After that many authors studied topological properties under fuzzy settings and suggested different definitions for the same property whi

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28

Thangaraj, Ganesan, and Natarajan Raji. "On Fuzzy Baire-Separated Spaces and Related Concepts." Pure and Applied Mathematics Journal 13, no. 1 (2024): 1–8. http://dx.doi.org/10.11648/j.pamj.20241301.11.

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In this paper, a new class of fuzzy topological spaces, namely fuzzy Baire-separated spaces is introduced in terms of fuzzy Baire sets. Several characterizations of fuzzy Baire-separated spaces are established. It is shown that fuzzy Baire sets lie between disjoint fuzzy P-sets and fuzzy F&lt;sub&gt;σ&lt;/sub&gt;- sets in a fuzzy Baire-separated space. Conditions under which fuzzy topological spaces become fuzzy Baire-separated spaces are established. Fuzzy nowhere dense sets are fuzzy closed sets in fuzzy nodec spaces and subsequently a question will arise. Which fuzzy topolog

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29

Hoque, Md Mirazul, Jayasree Chakraborty, Baby Bhattacharya, and Binod Chandra Tripathy. "Applications of L_{gfs}-closed sets in mixed fuzzy soft ideal topological spaces." Boletim da Sociedade Paranaense de Matemática 42 (May 3, 2024): 1–10. http://dx.doi.org/10.5269/bspm.63142.

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The primary goal of this treatise is to introduce a new kind of generalized closed sets termed as Lgfs-closed sets in the light of fuzzy soft local function in a mixed fuzzy soft ideal topological space. Wealso define the notion of fuzzy soft ∗-separated set. In addition, we procure the idea of fuzzy soft regularity,normality and fuzzy soft compactness. We also study their behavior in terms of Lgfs-closed sets.

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30

Daraby, Bayaz, та S. B. Nimse. "On fuzzy generalized α-closed set and its applications". Filomat 21, № 2 (2007): 99–108. http://dx.doi.org/10.2298/fil0702099d.

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In this paper, we define and study fuzzy generalized ?-closed sets and r-open sets of a given L-fuzzy topological space and prime element r ? P(L) and coprime element a ? M(L). The concept of L-fuzzy r-open sets was introduced in [10], and it was proved that all r-open sets for L-fuzzy topological space form a new L-fuzzy topology, which is called stratiform L-fuzzy topology. Making use of the fuzzy generalized ?-closed sets, fuzzy generalized ?-continuous map is presented. .

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31

WALKER, CAROL L., and ELBERT A. WALKER. "AUTOMORPHISMS OF THE ALGEBRA OF FUZZY TRUTH VALUES." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 14, no. 06 (2006): 711–32. http://dx.doi.org/10.1142/s021848850600428x.

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This paper is an investigation of the automorphisms of the algebra of truth values of type-2 fuzzy sets. This algebra contains isomorphic copies of the truth value algebras of type-1 and of interval-valued fuzzy sets. It is shown that these subalgebras are characteristic; that is, are carried onto themselves by automorphisms of the containing algebra of truth values of fuzzy sets. Some other relevant subalgebras are proved characteristic, including the subalgebra of convex normal functions. The principal tool in this study is the determination of various irreducible elements.

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32

Mary Victoria Florence, M., E. Priyadarshini, M. Vidhya, A. Govindarajan, and E. P.Siva. "Short Note on Topological Fuzzy Spaces of the Behaviour of GS fuzzy Closed Sets." International Journal of Engineering & Technology 7, no. 4.10 (2018): 810. http://dx.doi.org/10.14419/ijet.v7i4.10.26122.

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Many fuzzy topologists have very good interest in generalized fuzzy closed sets and in fuzzy point set topology. Here, properties of GS  in fuzzy topological spaces and its relationship with other generalized fuzzy closed sets has been discussed.

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33

Raj, A., and M. Ramachandran. "Intuitionistic Fuzzy Nano Generalized Closed Sets." Asian Research Journal of Mathematics 9, no. 3 (2018): 1–6. http://dx.doi.org/10.9734/arjom/2018/40752.

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34

Wahab, N. A. Abdul, та Z. Salleh. "Fuzzy θ-semi-generalized closed sets". Journal of Physics: Conference Series 435 (26 квітня 2013): 012008. http://dx.doi.org/10.1088/1742-6596/435/1/012008.

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35

Thakur, S. S., and Jyoti Pandey Bajpai. "On Intutionistic Fuzzy Gpr-closed Sets." Fuzzy Information and Engineering 4, no. 4 (2012): 425–44. http://dx.doi.org/10.1007/s12543-012-0125-x.

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36

Senthilkumaran, V., R. Krishnakumar, and Y. Palaniappan. "On Fuzzy Generalized b Closed Sets." Journal of Computer and Mathematical Sciences 8, no. 11 (2017): 621–29. http://dx.doi.org/10.29055/jcms/701.

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37

Mahanta, J., and P. K. Das. "On Fuzzy g*s-Closed Sets." International Journal of Computer Applications 43, no. 2 (2012): 17–21. http://dx.doi.org/10.5120/6076-8187.

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38

Alsharari, Fahad, та Yaser M. Saber. "𝒢Θτi⋆τj-Fuzzy Closure Operator". New Mathematics and Natural Computation 16, № 01 (2020): 123–41. http://dx.doi.org/10.1142/s1793005720500088.

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In this paper, a new class of fuzzy ideal sets, namely the [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in Šostak sense. This class falls strictly in between the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-fuzzy ideal closed sets and the class of [Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets. Furthermore, by using the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets we establish a new fuzz

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39

Parameswari, Usha. "On Fuzzy  - Semi Open Sets and Fuzzy  - Semi Closed Sets in Fuzzy Topological Spaces." IOSR Journal of Mathematics 7, no. 1 (2013): 63–70. http://dx.doi.org/10.9790/5728-0716370.

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40

Kandil, A., E. E. Kerre, M. E. El-Shafei та A. A. Nouh. "Quasi θ-spaces and pairwise θ-perfect irreducible mappings". Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 52, № 3 (1992): 322–33. http://dx.doi.org/10.1017/s1446788700035059.

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AbstractIn this paper we extend the notion of perfect, θ-continuous, irreducible and θ-perfect mappings to bitopological spaces. The main result is the following: the (small) image of an (i, j)-canonical open sets is an (i, j)-canonical open set under a pairwise θ-closed irreducible surjective mapping. Also we extend the notion of θ-proximity spaces to quasi θ-proximity spaces and point out the interrelation between it and separated quasi-proximity spaces by means of a pairwise θ-perfect irreducible mappings.

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41

G., Saravanakumar A. Vadivel S. Murugambigai and M. Kamaraj. "Generalizations of fuzzy quasi open sets and connectedness between fuzzy sets in fuzzy bitopological spaces." Annals of Communications in Mathematics 3, no. 3 (2020): 218–31. https://doi.org/10.5281/zenodo.10048513.

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In this paper we introduce and study fuzzy quasi e (resp. e ∗, a, β, δs and δp)-open sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-closed sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-connectedness between fuzzy sets fuzzy quasi e (resp. e ∗, a, β, δs and δp)–separated sets in fuzzy bitopological spaces. 

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42

Dalia raad abd and Gazwan Haider Abdulhusein. "Fuzzy Nano -Generalized Closed Set in Fuzzy Nano Symmetric Topology." Mustansiriyah Journal of Pure and Applied Sciences 3, no. 2 (2025): 169–77. https://doi.org/10.47831/mjpas.v3i2.353.

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In this paper we introduced new types of fuzzy nanoopen sets, called fuzzy nanoopen sets, and studied some properties of fuzzy nanogeneralized closed sets in fuzzy nanosymmetric topology. Also, we studied some separation axioms, called FNζ-T0S, FNζ-T_(1/2)S, and FNζ-T1S, and we studied the relationship between them under the condition of fuzzy nanosymmetric topology and proofed the converse relations, which were studied for the first time, and obtained several important properties.

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43

Et al., Al Khafaje. "On Generalized Continuous Fuzzy Proper Function from a Fuzzy Topological Space to another Fuzzy Topological Space." Baghdad Science Journal 16, no. 1 (2019): 0237. http://dx.doi.org/10.21123/bsj.16.1.(suppl.).0237.

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The purpose of this paper is to introduce and study the concepts of fuzzy generalized open sets, fuzzy generalized closed sets, generalized continuous fuzzy proper functions and prove results about these concepts.

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44

Et al., Al Khafaje. "On Generalized Continuous Fuzzy Proper Function from a Fuzzy Topological Space to another Fuzzy Topological Space." Baghdad Science Journal 16, no. 1(Suppl.) (2019): 0237. http://dx.doi.org/10.21123/bsj.2019.16.1(suppl.).0237.

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The purpose of this paper is to introduce and study the concepts of fuzzy generalized open sets, fuzzy generalized closed sets, generalized continuous fuzzy proper functions and prove results about these concepts.

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45

Sankari, Dr M. "Fuzzy Mean e-Open and e-Closed Sets." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 11, no. 3 (2020): 2921–25. http://dx.doi.org/10.61841/turcomat.v11i3.14664.

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The notions of fuzzy mean e -open and e -closed sets is established. Moreover, some comparative study of these with other fuzzy mappings are investigated. Finally, we extend fuzzy mean e -open to fuzzy para e -open sets in fuzzy topology.

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46

R, Devi, та Vigneshwaran M. "ON *gα-FUZZY CLOSED SETS IN FUZZY TOPOLOGICAL SPACES". Kongunadu Research Journal 3, № 1 (2016): 15–16. http://dx.doi.org/10.26524/krj118.

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47

Neethu, P. R., and Bloomy Joseph. "Fuzzy Regularly Closed Sets in Michálek’s Fuzzy Topological Space." Journal of Physics: Conference Series 1850, no. 1 (2021): 012012. http://dx.doi.org/10.1088/1742-6596/1850/1/012012.

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thana, Keer R., and Jaya D. nthi. "On Fuzzy Generalized Closed Sets in Fuzzy Topological Spaces." International Journal of Mathematics Trends and Technology 52, no. 7 (2017): 439–44. http://dx.doi.org/10.14445/22315373/ijmtt-v52p562.

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Quindao-Mentuda, Cheryl G., and Luzviminda T. Ranara. "On fuzzy b*-closed sets in fuzzy topological space." International Mathematical Forum 15, no. 7 (2020): 325–37. http://dx.doi.org/10.12988/imf.2020.7873.

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