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A New Notion of Paranorm Intuitionistic Fuzzy Zweier I3-Convergent Triple Sequence Spaces
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In this paper, we define and introduce the notion of paranorm intuitionistic fuzzy Zweier I3-convergent triple sequence spaces ZI3(μ,υ) (p) and ZIO3(μ,υ) (p) for p = (pnmj ) a triple sequence of positive real numbers. Besides, the fuzzy topology on these spaces is studied.
Keywords
Ideal Spaces, Triple I3-Sequence, Intuitionistic Fuzzy Normed Spaces.
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- L. C. Barros, R. C. Bassanezi, P. A. Tonelli, Fuzzy modelling in population dynamics, Ecol. Model., vol. 128 (2000), 27-33. doi: 10.1016/S0304-3800(99)00223-9
- F. Basar, Summability Theory and its Applications, Bentham Science Publishers, e-books, Monograph, Istanbul, 2012.
- F. Basar, B. Altay, On the spaces of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J., vol. 55 (2003), 136–147. doi: 10.1023/A:1025080820961
- P. Das, P. Kostyrko, W. Wilczy´nski and P. Malik, I and I∗-convergence of double sequences, Mathematica Slovaca, vol. 58(5) (2008), 605–620. doi: 10.2478/s12175-008-0096-x
- A. L. Fradkov, R. J. Evans, Control of chaos: Methods of applications in engineering, Annual Reviews in Control, vol. 29 (2005), 33-56. doi: 10.1016/j.arcontrol.2005.01.001
- R. Giles, A computer program for fuzzy reasoning, Fuzzy Sets Syst., vol. 4(3) (1980), 221–234. doi: 10.1016/0165-0114(80)90012-3
- C. Granados, A. Dhital, Statistical convergence of double sequences in neutrosophic normed spaces, Neutrosophic Sets and Systems 42 (2021), 334-344. doi: 10.5281/zenodo.4718194
- C. Granados, New notions of triple sequences on ideal spaces in metric spaces, Advances in the Theory of Nonlinear Analysis and its Applications 5(3) (2021), 363-368. doi: 10.31197/atnaa.846717
- C. Granados, A generalization of the strongly Cesaro ideal convergence through double sequence spaces, International Journal of Applied Mathematics 34(3) (2021), 525-533. doi: 10.12732/ijam.v34i3.8
- L. Hong, J. Q. Sun, Bifurcations of fuzzy non-linear dynamical systems, Commun. Nonlinear Sci. Numer. Simul, vol. 1 (2006), 1–12. doi: 10.1016/j.cnsns.2004.11.001
- U. Kadak, F. Basar, Power series with real or fuzzy coefficients, Filomat, vol. 26(3) (2012), 519–528. doi: 10.2298/FIL1203519K
- V. A. Khan, Yasmeen, H. Fatima and H. Altaf, A new type of paranorm intuitionistic fuzzy Zweier I-convergent triple sequence spaces, Filomat, vol. 33(5) (2019), 1279–1286. doi: 10.2298/FIL1905279K
- V. A. Khan, Yasmeen, H. Fatima and A. Ahamd, Intuitionistic fuzzy Zweier I - convergent sequence spaces defined by Orlicz function, Cogent Mathematics, vol. 3 (2016), 469–478. doi: 10.1080/23311835.2016.1235320
- I. J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. Oxford, vol. 18 (1967), 345–355. doi: 10.1093/qmath/18.1.345
- M. Mursaleen, Q. M. D. Lohni, Intuitionistic fuzzy 2-normed space and some related concepts, Chaos, Solitons and Fractals, vol. 42(1) (2009), 224–234. doi: 10.1016/j.chaos.2008.11.006
- R. Saadati, J. H. Park, On the intuitionistic fuzzy topological spaces, Chaos, Solitons and Fractals, vol. 27(2) (2006), 331–344. doi: 10.1016/j.chaos.2005.03.019
- A. Sahiner and B. C. Tripathy, Some I-related properties of triple sequences, Selcuk J. Appl. Math., vol. 9(2) (2008), 9–18.
- M. Sengonul, On the Zweier sequence space, Demonstratio Math., vol. 40 (2007), 181–196. doi: 10.1515/dema-2007-0119
- L. A. Zadeh, Fuzzy sets, Inform. Control, vol. 8(3) (1965), 338–353. doi: 10.1016/S0019-9958(65)90241-X
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