Various kinds of fuzzy quotient hypervector spaces

Article type: Research Article

Authors: Dehghan, Omid Reza^{; *}

Affiliations: Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran

Correspondence: [*] Corresponding author. Omid Reza Dehghan, Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran. E-mail: dehghan@ub.ac.ir.

Abstract: The aim of this paper is the study of fuzzy quotient hypervector spaces. In this regards several kinds of fuzzy quotient hypervector spaces are introduced, according many approaches. Also, the relationship between these definitions is studied. In particular, it is investigated when these concepts are equivalent.

Keywords: Hypervector space, quotient hypervector space, fuzzy subhyperspace, fuzzy quotient hypervector space

DOI: 10.3233/JIFS-171262

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3163-3170, 2018