Rough Fuzzy Hyperideals in Ternary Semihypergroups
نویسندگان
چکیده
منابع مشابه
SEMISIMPLE SEMIHYPERGROUPS IN TERMS OF HYPERIDEALS AND FUZZY HYPERIDEALS
In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.
متن کاملFUZZY HYPERIDEALS IN TERNARY SEMIHYPERRINGS
In a ternary semihyperring, addition is a hyperoperation and multiplicationis a ternary operation. Indeed, the notion of ternary semihyperringsis a generalization of semirings. Our main purpose of this paper is to introducethe notions of fuzzy hyperideal and fuzzy bi-hyperideal in ternary semihyperrings.We give some characterizations of fuzzy hyperideals and investigateseveral kinds of them.
متن کاملON 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 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 کاملsemisimple semihypergroups in terms of hyperideals and fuzzy hyperideals
in this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. we characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.
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ژورنال
عنوان ژورنال: Advances in Fuzzy Systems
سال: 2012
ISSN: 1687-7101,1687-711X
DOI: 10.1155/2012/595687