Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
نویسندگان
چکیده
منابع مشابه
ON ROUGH (m,n) BI-Γ-HYPERIDEALS IN Γ-SEMIHYPERGROUPS
The notion of (m,n)-ideals of semigroups was introduced by Lajos [13, 14]. Later (m,n) quasi-ideals and (m,n) bi-ideals and generalized (m,n) bi-ideals were studied in various algebraic structures. The notion of a rough set was originally proposed by Pawlak [16] as a formal tool for modeling and processing incomplete information in information systems. Some authors have studied the algebraic pr...
متن کاملPrime ( m , n ) Bi - Γ - Hyperideals in Γ - Semihypergroups
Relations between rough sets and algebraic structures have been already considered by many mathematicians. Motivated by studying the properties of rough (m,n) bi-Γ -hyperideals in Γ -semihypergroups, we now introduced the notion of prime (m,n) biΓ -hyperideals in Γ -semihypergroups and investigated several properties of these prime (m,n) bi-Γ -hyperideals. Also we applied the rough set theory t...
متن کاملSemihypergroups characterized by (∈ γ, ∈ γ ∨ qδ)-fuzzy hyperideals
Generalizing the concepts of (∈,∈ ∨q)-fuzzy hyperideal, (∈,∈ ∨q)-fuzzy quasi-hyperideal and (∈,∈ ∨q)-fuzzy bihyperideal, the notions of (∈,∈ ∨qk)-fuzzy hyperideal, (∈,∈ ∨qk)-fuzzy quasi-hyperideal and (∈,∈ ∨qk)-fuzzy bi-hyperideal are defined. Using these notions, different classes of semihypergroups are characterized.
متن کاملFuzzy Γ-Hyperideals in Γ-Hypersemirings by Using Triangular Norms
The concept of Γ-semihyperrings was introduced by Dehkordi and Davvaz as a generalization of semirings, semihyperrings, and Γ-semiring. In this paper, by using the notion of triangular norms, we define the concept of triangular fuzzy sub-Γ-semihyperrings as well as triangular fuzzy Γ-hyperideals of a Γ-semihyperring, and we study a few results in this respect.
متن کاملNeutrosophic Hyperideals of Γ-semihyperrings
The purpose of this paper is to introduced neutrosophic hyperideals of a Γ-semihyperring and consider some operations on them to investigate some of its basic properties.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics
سال: 2014
ISSN: 1110-757X,1687-0042
DOI: 10.1155/2014/658252