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Abstrakty
The main purpose of this paper is to introduce the notion of minimal separation axioms in neutrosophic topological spaces. We have defined some separation axioms in neutrosophic topological spaces in minimal structure. We have investigated some basic properties of the new class of minimal separation axioms in neutrosophic topological spaces.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
25--34
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
- Department of Mathematics, Maharaja Bir Bikram University, Agartala, 799004, Tripura, India, runu.dhar@gmail.com
autor
- Department of Mathematics, Dasaratha Deb Memorial College, Khowai-799201, Tripura, India, gourpal74@gmail.com
Bibliografia
- [1] Alimohammady M., Rooht M., Compactness in fuzzy minimal spaces, Chaos, Solitons & Fractals, 28 (2006), 906-912.
- [2] Alimohammady M., Rooht M., Fuzzy minimal structure and fuzzy minimal vector spaces, Chaos, Solitons & Fractals, 27 (2006), 599-605.
- [3] Alimohammady M., Ekici E., Jafari S., Rooht M., Fuzzy minimal separation axioms, The Journal of Nonlinear Sciences and Applications, 3(3) (2010), 157-163.
- [4] Al-Nafee A. B., Al-Hamido R. K., Smarandache F., Separation Axioms in Neutrosophic Crisp Topological Spaces, Neutrosophic Sets and Systems, 25 (2019), 25-32.
- [5] Atanassov K., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1983), 87-96.
- [6] Das R., Smarandache F., Tripathy B. C., Neutrosophic fuzzy matrices and some algebraic operation, Neutrosophic Sets and Systems, 32 (2020), 401-409.
- [7] Das R., Tripathy B. C., Neutrosophic multiset topological space, Neutrosophic Sets and Systems, 35 (2020), 142-152.
- [8] Karatas S., Kuru C., Neutrosophic Topology, Neutrosophic Sets and Systems, 13(1) (2016), 90-95.
- [9] Makai H., Umehara J., Noiri T., Every topological space is pre T1/2, Mem. Fac. Sci. Kochi Univ. Ser. Math., 17 (1996), 33-42.
- [10] Modak S., Minimal spaces with a mathematical structure, Jour. Assoc. Arab. Univ. Basic. Appl. Sc., 22 (2017), 98-101.
- [11] Pal G., Dhar R., Tripathy B. C., Minimal Structures and Grill in Neutrosophic Topological Spaces, Neutrosophic Sets and Systems, 51 (2022), 134-145.
- [12] Pal G., Tripathy B. C., Dhar R., On Minimal Continuity in Neutrosophic Topological Space, Neutrosophic Sets and Systems, 51 (2022) 360-370.
- [13] Pal G., Dhar R., Compactness in Neutrosophic Minimal Spaces, Journal of Tripura Mathematical Society, 22 (2020), 68-74.
- [14] Pu P. M., Liu Y. M., Fuzzy topology I. Neighbourhood structure of a fuzzy point and Moore - Smith convergence, J. Math. Anal. Appl., 76 (1980), 571-599.
- [15] Ray G. C., Dey S., Neutrosophic point and its neighbourhood structure, Neutrosophic Sets and Systems, 43 (2021), 156-168.
- [16] Salama A. A., Alblowi S. A., Neutrosophic set and neutrosophic topological space, ISOR J Math, 3(4) (2012), 31-35.
- [17] Salama A. A., Alblowi S. A., Generalized neutrosophic set and generalized neutrosophic topological space, Comp. Sci. Engg., 21 (2012), 29-132.
- [18] Salama A. A., Smarandache F., Alblowi S. A., New neutrosophic crisp topological concepts, Neutrosophic Sets and Systems, 2 (2014), 50-54.
- [19] Smarandache F., Neutrosophic set: a generalization of the intuitionistic fuzzy sets, Inter. J. Pure Appl. Math., 24 (2005), 287-297.
- [20] Smarandache F., Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutro sophic Logic, Set, Probability and Statistics, University of New Mexico, NM 87301, USA (2002).
- [21] Smarandache F., A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Re- search Press, Rehoboth, NM, (1999).
- [22] Smarandache F., An introduction to the Neutrosophy probability applied in Quantum Physics, International Conference on introduction Neutrosophic Physics, Neutrosophic Logic, Set, Probability, and Statistics, University of New Mexico, Gallup, NM 87301, USA2-4 December (2011).
- [23] Tripathy B. C., Debnath S., Fuzzy m-structures, m-open multifunctions and bitopological spaces, Bol da Soci Para de Mate, 37(4) (2019), 119-128.
- [24] Zadeh L. A., Fuzzy sets, Information and Control, 8 (1965), 338-353.
Typ dokumentu
Bibliografia
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