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2 Discussiones Mathematicae - General Algebra and Applications

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Some results in bipolar-valued fuzzy ordered AG-groupoids

100%

Faisal , Yaqoob N. , Saeid A.

tom 32

nr 1

55-76

In this paper, we introduce the concept of bipolar-valued fuzzification of ordered 𝓐𝓖-groupoids and discuss some structural properties of bipolar-valued fuzzy two-sided ideals of an intra-regular ordered 𝓐𝓖-groupoid.

On pseudo BE-algebras

88%

Borzooei R. , Saeid A. , Rezaei A. , Radfar A. , Ameri R.

nr 1

95-108

In this paper, we introduce the notion of pseudo BE-algebra which is a generalization of BE-algebra. We define the concepts of pseudo subalgebras and pseudo filters and prove that, under some conditions, pseudo subalgebra can be a pseudo filter. We prove that every homomorphic image and pre-image of a pseudo filter is also a pseudo filter. Furthermore, the notion of pseudo upper sets in pseudo BE-algebras introduced and is proved that every pseudo filter is an union of pseudo upper sets.