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Applications of infinite matrices and λ-convergence for fuzzy sequence spaces

Ayhan Esi|Kuldip Raj|Sonali Sharma
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2021.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제21권 제3호|pp. 279-293|DOI 10.30948/afmi.2021.21.3.279

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참고문헌

키워드

IdealOrlicz functionFuzzy number$I-$convergentInfinite matrixλ-convergence of order αDifference sequence space

초록

In the present paper we study some applications of infinite matrices and $\lambda$-convergence of order $\alpha$ to introduce some Ideal convergent sequence spaces of fuzzy numbers by means of Orlicz function. We make an effort to study some algebraic and topological properties of these spaces. We also study some interesting inclusions relation between these spaces. Finally, we have prove that these spaces are normal as well as monotone and convergence free. We shall prove these results with the help of examples.

Abstract

In the present paper we study some applications of infinite matrices and $\lambda$-convergence of order $\alpha$ to introduce some Ideal convergent sequence spaces of fuzzy numbers by means of Orlicz function. We make an effort to study some algebraic and topological properties of these spaces. We also study some interesting inclusions relation between these spaces. Finally, we have prove that these spaces are normal as well as monotone and convergence free. We shall prove these results with the help of examples.

참고문헌 (37)

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관련 논문AI추천

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