Translations and extensions of fuzzy Sheffer stroke $BE$-filters and $BE$-subalgebras

Abstract

The first aim of this article is to investigate the further properties of fuzzy Sheffer stroke $BE$-filters/BE-subalgebras. Next, concepts of normalized fuzzy Sheffer stroke $BE$-filters/$BE$-subalgebras, translations and extensions are introduced and related properties are studied. Characterizations of a fuzzy Sheffer stroke $BE$-filters are considered, and the conditions under which the fuzzy set which is maded by the upper set can be a fuzzy Sheffer stroke $BE$-filter are explored. How to configure a fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra using a collection of Sheffer stroke $BE$-filters/$BE$-subalgebras is displayed. The methods of constructing the normalization of a given fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra are given. Relations between a fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra and its normalization are discussed, and extensions of a fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra are established.