norm and inner product on fuzzy linear spaces over fuzzy fields
Authors
abstract
in this paper, we introduce the concepts of norm and inner prod- uct on fuzzy linear spaces over fuzzy elds and discuss some fundamental properties.
similar resources
NORM AND INNER PRODUCT ON FUZZY LINEAR SPACES OVER FUZZY FIELDS
In this paper, we introduce the concepts of norm and inner prod- uct on fuzzy linear spaces over fuzzy elds and discuss some fundamental properties.
full textFuzzy Inner Product and Fuzzy Norm \of Hyperspaces
We introduce and study fuzzy (co-)inner product and fuzzy(co-)norm of hyperspaces. In this regard by considering the notionof hyperspaces, as a generalization of vector spaces, first we willintroduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions offuzzy (co-)norm and fuzzy (co-)orthogonality in hyperspaces. Inparticular, we will prove that ...
full textsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولfuzzy inner product and fuzzy norm of hyperspaces
we introduce and study fuzzy (co-)inner product and fuzzy(co-)norm of hyperspaces. in this regard by considering the notionof hyperspaces, as a generalization of vector spaces, first we willintroduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions offuzzy (co-)norm and fuzzy (co-)orthogonality in hyperspaces. inparticular, we will prove that ...
full textFuzzy Inner Product and Fuzzy Norm of Hyperspaces
We introduce and study fuzzy (co-)inner product and fuzzy (co)norm of hyperspaces. In this regard by considering the notion of hyperspaces, as a generalization of vector spaces, first we will introduce the notion of fuzzy (co-)inner product in hyperspaces and will apply it to formulate the notions of fuzzy (co-)norm and fuzzy (co-)orthogonality in hyperspaces. In particular, we will prove that ...
full textFUZZY HYPERVECTOR SPACES OVER VALUED FIELDS
In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.
full textMy Resources
Save resource for easier access later
Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 8
issue 1 2011
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023