In this study, by generalizing the notion of fuzzy bi-ideals ordered semirings, (∈,∈∨(κ*,qκ))-fuzzy is established. We prove that are but converse not true, and an example provided to support proof. A condition given under which semirings coincide with bi-ideals. An equivalent certain correspondences between presented. Moreover, (κ*,κ)-lower part described depicted in terms several classes semi...

There are many symmetries in intuitionistic fuzzifying topology. In the present paper, notion of topology as an extension and a preliminary research on bi-intuitionistic fuzzy is introduced. A theory with semantic method logic established.

Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, Egypt * [email protected] **Department of Computer Science, Port Said University, Egypt [email protected] ***Department of Mathematics, University of New Mexico Gallup, NM, USA [email protected] Abstract: In this paper we introduce the notion of ideals on neutrosophic set which is considered as a gen...

In this article, we present the structure of η-intuitionistic fuzzy ring. An ring is a which built with combinating definition ring, intuitionistic set, and set. The set characterized by any value η∈[0,1], where degree membership μ_(A^η ) (k) obtained based on averaging operator μ_A η∈[0,1]. While non ν_(A^η ν_A 1-η∈[0,1]. its development, new concepts were obtained, namely ideal properties rel...

In this paper, we introduce the notions of interval-valued fuzzy prime (resp. strongly prime and semiprime) bi-ideals of a semigroup. By using these ideas we characterize those semigroups for which each interval-valued fuzzy bi-ideal is semiprime and strongly prime.

Most of the results on semigroups or ordered can be transferred to hypersemigroups hypersemigroups, respectively. The same, if we replace word "semigroup" by "groupoid", "hypersemigroup" "hypergroupoid". We show way pass from fuzzy hypersemigroups.