Fuzzy Hypervector Spaces
Joint Authors
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-08-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Information Technology and Computer Science
Abstract EN
The aim of this paper is the generalization of the notion of fuzzy vector spaces to fuzzy hypervector spaces.
In this regard, by considering the notion of fuzzy hypervector spaces, we characterized a fuzzy hypervector space based on its level sub-hyperspace.
The algebraic nature of fuzzy hypervector space under transformations is studied.
Certain conditions are obtained under which a given fuzzy hypervector space can or cannot be realized as a union of two fuzzy hypervector spaces such that none is contained in the other.
The construction of a fuzzy hypervector space generated by a given fuzzy subset of a hypervector space is given.
The set of all fuzzy cosets of a fuzzy hypervector space is shown to be a hypervector space.
Finally, a fuzzy quotient hypervector space is defined and an analogue of a consequence of the “fundamental theorem of homomorphisms” is obtained.
American Psychological Association (APA)
Ameri, R.& Dehghan, O. R.. 2008. Fuzzy Hypervector Spaces. Advances in Fuzzy Systems،Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-461250
Modern Language Association (MLA)
Ameri, R.& Dehghan, O. R.. Fuzzy Hypervector Spaces. Advances in Fuzzy Systems No. 2008 (2008), pp.1-9.
https://search.emarefa.net/detail/BIM-461250
American Medical Association (AMA)
Ameri, R.& Dehghan, O. R.. Fuzzy Hypervector Spaces. Advances in Fuzzy Systems. 2008. Vol. 2008, no. 2008, pp.1-9.
https://search.emarefa.net/detail/BIM-461250
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461250
