663 research outputs found
On the Intuitionistic fuzzy topological (metric and normed) spaces
In this paper, we define precompact set in intuitionistic fuzzy metric spaces
and prove that any subset of an intuitionistic fuzzy metric space is compact if
and only if it is precompact and complete. Also we define topologically
complete intuitionistic fuzzy metrizable spaces and prove that any set in a complete intuitionistic fuzzy metric spaces is a topologically
complete intuitionistic fuzzy metrizable space and vice versa. Finally, we
define intuitionistic fuzzy normed spaces and fuzzy boundedness for linear
operators and so we prove that every finite dimensional intuitionistic fuzzy
normed space is complete.Comment: 16 page
An analysis of the logic of Riesz Spaces with strong unit
We study \L ukasiewicz logic enriched with a scalar multiplication with
scalars taken in . Its algebraic models, called {\em Riesz MV-algebras},
are, up to isomorphism, unit intervals of Riesz spaces with a strong unit
endowed with an appropriate structure. When only rational scalars are
considered, one gets the class of {\em DMV-algebras} and a corresponding
logical system. Our research follows two objectives. The first one is to deepen
the connections between functional analysis and the logic of Riesz MV-algebras.
The second one is to study the finitely presented MV-algebras, DMV-algebras and
Riesz MV-algebras, connecting them from logical, algebraic and geometric
perspective
On Pseudo Fuzzy Length Space and Quotient of Fuzzy Length Space
In this paper we recall the definition of fuzzy length space on a fuzzy set after that we recall basic definitions and properties of this space. Then we introduce the notion pseudo fuzzy length space on a fuzzy set to prove that the fuzzy completion of pseudo fuzzy length is a fuzzy length space. Finally we defined the quotient of a fuzzy length space then we defined the fuzzy length to the quotient space
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