Normal subfuzzy (m, n)-hypermodules

Abstract

The aim of this study is to extend the concept of normality of a subfuzzy hypermodule to subfuzzy (m, n)-hypermodules. Hence, normal subfuzzy (m, n)-hypermodules of a fuzzy (m, n)-hypermodule, denoted by NFS_mnHM, is introduced and studied. In this way, normal subfuzzy (m, n)-hypermodules are used to construct quotient fuzzy (m, n)-hypermodules endowed with fuzzy n-ary hyperoperations to obtain some basic results in this context.

Subject Classification:

• (2010) 20N20
• 08A72
• 20N15

Keywords:

• Fuzzy n-hypergroup
• fuzzy (m, n)-hyperring
• fuzzy (m, n)-hypermodule
• normal sub-fuzzy (m, n)-hypermodule