Rough prime ideals in rough semigroups

Bağırmaz, Nurettin

doi:10.12988/imf.2016.6114

Cited by 4 publications

(2 citation statements)

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“…V.S.Subha et al Stated the fuzzy rough prime and semi-prime ideals in semigroups and discussed their properties. Bagirmaz described the rough image and inverse image of the prime ideals [26][27][28]. Zhan and Marynirmala proposed RFI and hearings [29].…”

Section: Introductionmentioning

confidence: 99%

Characterizations of Γ Rings in Terms of Rough Fuzzy Ideals

Pushpanathan¹,

Ezhilmaran²

2022

Symmetry

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Fuzzy sets are a major simplification and wing of classical sets. The extended concept of set theory is rough set (RS) theory. It is a formalistic theory based upon a foundational study of the logical features of the fundamental system. The RS theory provides a new mathematical method for insufficient understanding. It enables the creation of sets of verdict rules from data in a presentable manner. An RS boundary area can be created using the algebraic operators’ union and intersection, which is known as an approximation. In terms of data uncertainty, fuzzy set theory and RS theory are both applicable. In general, as a uniting theme that unites diverse areas of modern arithmetic, symmetry is immensely important and helpful. The goal of this article is to present the notion of rough fuzzy ideals (RFI) in the gamma ring structure.We introduce the basic concept of RFI, and the theorems are proven for their characteristic function. After that, weexplain the operations on RFI, and related theorems are given. Additionally, we prove some theorems on rough fuzzy prime ideals. Furthermore, using the concept of rough gamma endomorphism, we propose some theorems on the morphism properties of RFI in the gamma ring.

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Section: Introductionmentioning

confidence: 99%

Characterizations of Γ Rings in Terms of Rough Fuzzy Ideals

Pushpanathan¹,

Ezhilmaran²

2022

Symmetry

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“…Bagırmaz andÖzcan [1], studied the notion of rough semigroup on approximation space. Moreover, Bagırmaz [2], investigated rough prime ideals on approximation spaces.…”

Section: Introductionmentioning

confidence: 99%