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Article

M-Hazy Vector Spaces over M-Hazy Field

Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China
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Academic Editors: Sorin Nadaban and Ioan Dzitac
Mathematics 2021, 9(10), 1118; https://doi.org/10.3390/math9101118
Received: 4 April 2021 / Revised: 5 May 2021 / Accepted: 12 May 2021 / Published: 14 May 2021
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. View Full-Text
Keywords: M-hazy group; M-hazy ring; M-hazy field; M-hazy vector space; M-hazy subspace; M-fuzzifying convex space M-hazy group; M-hazy ring; M-hazy field; M-hazy vector space; M-hazy subspace; M-fuzzifying convex space
MDPI and ACS Style

Mehmood, F.; Shi, F.-G. M-Hazy Vector Spaces over M-Hazy Field. Mathematics 2021, 9, 1118. https://doi.org/10.3390/math9101118

AMA Style

Mehmood F, Shi F-G. M-Hazy Vector Spaces over M-Hazy Field. Mathematics. 2021; 9(10):1118. https://doi.org/10.3390/math9101118

Chicago/Turabian Style

Mehmood, Faisal, and Fu-Gui Shi. 2021. "M-Hazy Vector Spaces over M-Hazy Field" Mathematics 9, no. 10: 1118. https://doi.org/10.3390/math9101118

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