Journal of Prime Research in Mathematics

Fuzzy L\(^P\) -Spaces

Marzieh Shams Yousef\(^{a,*}\), Forouzan Farahrooz\(^b\)

\(^a\)Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.
\(^b\)Department of Mathematics, Payame Noor University, Tehran, Iran.

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The purpose of this paper is to introduce the fuzzy L\(^P\)-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 offuzzy L\(^P\)-spaces is fuzzy L\(^q\)-spaces, where the scalars p and q are conjugate exponents.


α-cut, Fuzzy functions, Hausdorff distance, Fuzzy L\(^P\)-Spaces.