Prime ( m , n ) Bi - Γ - Hyperideals in Γ - Semihypergroups

نویسندگان

  • Naveed Yaqoob
  • Muhammad Aslam
چکیده

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 to these prime (m,n) bi-Γ -hyperideals and proved that the lower and upper approximation of a prime (m,n) bi-Γ hyperideal is a prime (m,n) bi-Γ -hyperideal in a Γ -semihypergroup. In the end we established some results on rough prime (m,n) bi-Γ -hyperideals in the quotient Γ -semihypergroups.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Ideals in El-semihypergroups Associated to Ordered Semigroups

In this work, we attempt to investigate the connection between various types of ideals (for examples (m,n)-ideal, bi-ideal, interior-ideal, quasi-ideal, prime-ideal and maximal-ideal) of an ordered semigroup (S, ·,≤) and the corresponding, hyperideals of its EL-hyperstructure (S, ∗) (if exists). Moreover, we construct the class of EL-Γ-semihypergroup, associated to a partially-ordered Γsemigroup.

متن کامل

Semihypergroups 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 کامل

Structures of N-∧-Hyperideals in Left Almost ∧-Semihypergroups

Hyperstructure theory was born in 1934 when Marty [9] defined hypergroups, began to analyze their properties and applied them to groups, rational algebraic functions. Now they are widely studied from theoretical point of view and for their applications to many subjects of pure and applied properties. In 1986, Sen and Saha [12] introduced the concept of Γsemigroup as a generalization of semigrou...

متن کامل

Prime (semiprime) Bi-hyperideals of Semihypergroups Based on Intuitionistic Fuzzy Points

Using the concept of intuitionistic fuzzy point, the notion of (∈,∈ ∨q)intuitionistic fuzzy bi-hyperideal of semihypergroups is introduced. Several characterizations of this notion are given and the behavior of this structure under homomorphisms of semihypergroups is discussed. Finally, the notion of prime (semiprime) (∈,∈ ∨q)-intuitionistic fuzzy bi-hyperideal of semihypergroups is introduced ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014