When the first operation’s inverse axiom is deleted from ring, an algebraic structure, semiring, generated. Subsemiring one of subjects covered in semiring. The concepts fuzzy subsemiring, anti subsemiring and complement are introduced this paper. In addition, anti-subsemiring a wedge, or combination two more associated with non-empty subset semiring whose membership criteria defined by value z...

The concept of complex fuzzy sets is a generalization of ordinary fuzzy sets. In this paper, we introduce the concept of complex fuzzy subhypergroups ($H_{v}$-subgroups) as well as the concept of complex anti-fuzzy subhypergroups ($H_{v}$-subgroups). We investigate their properties and their relations with the traditional fuzzy (anti-fuzzy) subhypergroups ($H_{v}$-subgroups), and we prove some ...

We introduce the notions of anti fuzzy right ideal, anti fuzzy right k-ideal and intuitionistic fuzzy right k-ideal of semirings. We investigate the their properties and connections with right k-ideal, fuzzy right k-ideal, anti fuzzy right k-ideal. We characterize regular semiring through intuitionistic fuzzy right ideal. The semi regularity of semirings is characterized by intuitionistic fuzzy...

For a finite group G, let E(G) denote the near-ring of functions generated by the semigroup, End(G), of endomorphisms of G. We characterize when E(G) is maximal as a subnear-ring of M0(G). A group G is an E-group if E(G) is a ring. We give a new characterization of finite Egroups and investigate the problem of determining, for finite E-groups, when E(G) is maximal as a ring in M0(G). 2000 Mathe...

Using the notion of anti fuzzy points and its besideness to and non-quasi-coincidence with a fuzzy set, new concepts of an anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their inter-relations and related properties are investigated in [3]. The notion of the new fuzzy subalgebra with thresholds are introduced and relationship between this notion and the new fuzzy subalgebra of a B...

The aim of this paper is to introduce the notion of anti fuzzy (prime) deductive system in BL-algebra and to investigate their properties. It is shown that the set of all deductive systems (with the empty set) of a BL-algebra X is equipotent to a quotient of the set of all anti fuzzy deductive systems of X. The anti fuzzy prime deductive system theorem of BL-algebras is also proved. Anti Fuzzy ...

In this paper by using the notiαon of anti fuzzy points and its besideness to andnon-quasi-coincidence with a fuzzy set the concepts of an anti fuzzy subalgebrasin BM-algebras are generalized and their inter-relations and related propertiesare investigated.

In this paper the concept of anti fuzzy ideals of a Γsemigroup has been introduced and some important characterizations have been obtained. Among other results a regular Γ-semigroup has been characterized in terms of anti fuzzy ideals. Finally we show that the set of all the anti fuzzy ideals of a Γ-semigroup forms a semilattice. 2010 AMS Classification: 20M99, 08A72, 20M12

Recently, fuzzy multi-sets have come to the forefront of scientists’ interest and been used in algebraic structures such as multi-groups, multi-rings, anti-fuzzy multigroup (α, γ)-anti-fuzzy subgroups. In this paper, we first summarize knowledge about structure γ)-anti-multi-fuzzy a way, notion is an application multi sets theory group. The concept complement set that generalizes both theories ...