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Journal of Prime Research in Mathematics
Fuzzy L p -Spaces
Author(s)
Marzieh Shams Yousefi
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan,Rasht,Iran
Forouzan Farahrooz
Department of Mathematics, Payame Noor University,Tehran,Iran
Abstract
The purpose of this paper is to introduce the fuzzy Lp-Spaces. We give some basic definitions and main properties of fuzzy spaces. The fuzzy Holder's inequality will be proved. Also we show that the dual of fuzzy Lp-spaces is fuzzy Lq-spaces, where the scalars p and q are conjugate exponents.
Publication Details
Page(s)
28-37
DOI
DOI not available
Published
Journal: Journal of Prime Research in Mathematics, Volume: 18, Issue: 1, Year: 2022
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Keywords
26E50, a -cut, Fuzzy functions, Fuzzy 2010 MSC, Hausdorf distance
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