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On paranorm type intuitionistic fuzzy Zweier I-convergent sequence spaces
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In this article we introduce the Paranorm type intuitionistic fuzzy Zweier $I$-convergent sequence spaces $\mathcal{Z}^I_{(\mu,\nu)}(p)$ and $\mathcal{Z}^I_{0(\mu,\nu)}(p)$ and study the fuzzy topology on the said spaces.
Abstract
In this article we introduce the Paranorm type intuitionistic fuzzy Zweier $I$-convergent sequence spaces $\mathcal{Z}^I_{(\mu,\nu)}(p)$ and $\mathcal{Z}^I_{0(\mu,\nu)}(p)$ and study the fuzzy topology on the said spaces.
참고문헌 (26)
- B. Altay, "On the Euler sequence space which include the spaces ℓp and ℓ∞", Inform. Sci, 76, pp.1450~1462 (2006)
- F. Basar, "On the spaces of sequences of p-bounded variation and related matrix mappings", Ukrainion math. J, 55(1), pp.136~147 (2003)
- L. C. Barros, "Fuzzy modelling in population dynamics", Ecol. Model, 128, pp.27~33 (2000)
- P. Das, "I and I*- convergence of double sequences", Math. Slovaca, 58, pp.605~620 (2008)
- H. Fast, "Sur la convergence statistique", Colloq. Math, 2, pp.241~244 (1951)
- A. L. Fradkov, "Control of chaos: Methods of applications in engineering", Chaos, solution and Fractals, 29, pp.33~56 (2005)
- R. Giles, "A computer program for fuzzy reasoning", Fuzzy sets and systems, 4, pp.221~234 (1980)
- L. Hong, "Bifurcations of fuzzy non-linear dynamical systems", Commun. Nonlinear Sci. Numer. Simul, 1, pp.1~12 (2006)
- V. A. Khan, "On Zweier I-convergent sequence spaces", Proyecciones Journal of Mathematics, 3(33), pp.259~276 (2014)
- V. A. Khan, "Intuitionistic Fuzzy Zweier I-convergent Double Sequence Spaces", New Trends in Mathematical Sciences, 4(2), pp.240~247 (2016)
- V. A. Khan, "Intuitionistic Fuzzy Zweier I-convergent Sequence Spaces defined by Modulus function (submitted)", ~
- V. A. Khan, "Intuitionistic Fuzzy Zweier I-convergent Sequence Spaces defined by Orlicz function", Ann. Fuzzy Math. Inform, 12(2), pp.1~9 (2016)
- P. Kostyrko, "I-convergence", Real Analysis Exchange, 26(2), pp.669~686 (2000)
- I. J. Maddox, "Spaces of strongly summable sequences", Qurt. Math, 18, pp.345~355 (1967)
- I. J. Maddox, "Elements of functional analysis" (1970), Cambridge univ. Press
- E. Malkowsky, "Recent results in the theory of matrix transformation in sequence spaces", Math. Vesnik, (49), pp.187~196 (1997)
- M. Mursaleen, "Edely, statistical convergence of double sequences", J. Math. Anal. Appl, 288, pp.223~231 (2003)
- M. Mursaleen, "Intuitionistic fuzzy 2-normed space and some related concepts", Chaos, solution and Fractals, 42, pp.331~344 (2009)
- A. Nabiev, "On I- Cauchy sequence", Taiwanese J. Math, 11(2), pp.569~576 (2007)
- P. N. Ng, "Ceaaro sequence spaces of non-absolute type", Comment. Math. Pracc. Math, 20(2), pp.429~433 (1978)
- R. Saddati, "On the intuitionistic fuzzy topological spaces", Chaos, solution and Fractals, (27), pp.331~344 (2006)
- E. Savas, "On statistical convergent double sequences of fuzzy numbers", Inform. Sci, 162, pp.183~192 (2004)
- M. Sengonul, "On the Zweier sequence space", Demonstratio Mathematica, XL(1), pp.181~196 (2007)
- C. S. Wang, "On Norlund sequence spaces", Tamkang J. Math, (9), pp.269~274 (1978)
- A. Wilansky, "Summability through functional analysis" (1984), North Holland Mathematics Studies
- L. A. Zadeh, "Fuzzy sets", Information and Control, (8), pp.338~353 (1965)
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