What is it about?

In this article, we generalized the concept of fuzzy set theory on sequence spaces and we introduce and study some new spaces of lacunary ideal convergence for sequence of fuzzy real number which are defined by compact operator on the real space and examine some basic properties and prove some inclusions relation related to new defined sequence spaces.

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Why is it important?

We construct some sequence spaces of fuzzy real valued lacunary with respect to intuitionistic fuzzy norm and with the help of ideal and compact operator. These sequence spaces gave a better convergence of real sequence.

Perspectives

I hope this article gave more knowledge about the ideal convergence of fuzzy real real valued with respect more generalized norm called intuitionistic fuzzy norm and with the help of compact operator which provoke you to read on sequence spaces. Writing this article was a great pleasure as it has co-authors with whom I have had long standing collaborations.

Dr vakeel A khan
Aligarh Muslim University Aliogarh INDIA

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This page is a summary of: On fuzzy valued lacunary ideal convergent sequence spaces defined by a compact operator, Journal of Intelligent & Fuzzy Systems, October 2018, IOS Press,
DOI: 10.3233/jifs-18906.
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