M -Hazy Vector Spaces over M -Hazy Field

Faisal Mehmood and Fu-Gui Shi
Additional contact information
Faisal Mehmood: Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China
Fu-Gui Shi: Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China

Mathematics, 2021, vol. 9, issue 10, 1-13

Abstract: The generalization of binary operation in the classical algebra to fuzzy binary operation is an important development in the field of fuzzy algebra. The paper proposes a new generalization of vector spaces over field, which is called M -hazy vector spaces over M -hazy field. Some fundamental properties of M -hazy field, M -hazy vector spaces, and M -hazy subspaces are studied, and some important results are also proved. Furthermore, the linear transformation of M -hazy vector spaces is studied and their important results are also proved. Finally, it is shown that M -fuzzifying convex spaces are induced by an M -hazy subspace of M -hazy vector space.

Keywords: M -hazy group; M -hazy ring; M -hazy field; M -hazy vector space; M -hazy subspace; M -fuzzifying convex space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/10/1118/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/10/1118/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:10:p:1118-:d:554974

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().