ON NEW FUZZY METRIC ORLICZ SEQUENCE SPACE

A. Basu

IJPAM: Volume 118, No. 4 (2018)

Title

ON NEW FUZZY METRIC ORLICZ SEQUENCE SPACE

Authors

Anindita Basu
Department of Mathematics
Dr. Bhupendra Nath Dutta Smriti Mahavidyalaya
Purba Burdwan, 713407, West Bengal, INDIA

Abstract

The purpose of this work is to define a new class of sequences of fuzzy numbers using Orlicz functions and to derive several useful classes having rich structural properties. Further, a metric topological structure has been imposed, as well as, the topological behaviour has been investigated for this new class. Moreover, various inclusion relations among different classes of fuzzy sequences have been studied.

History

Received: 2017-06-14
Revised: 2018-05-07
Published: May 9, 2018

AMS Classification, Key Words

AMS Subject Classification: 40A35, 40A05
Key Words and Phrases: fuzzy number sequence, Orlicz function, metric space, completeness, solidity

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How to Cite?

DOI: 10.12732/ijpam.v118i4.8 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 118
Issue: 4
Pages: 931 - 947

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