Near approximations in rings

Bijan Davvaz; Dian Winda Setyawati; Imam Mukhlash

doi:10.1007/s00200-020-00421-3

Near approximations in rings

Bijan Davvaz^*
, Soleha
, Dian Winda Setyawati
, Imam Mukhlash
, Rinurwati

^*Corresponding author for this work

Yazd University

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

This paper is a continuation of ideas presented by Bagirmaz (Appl Algebra Eng Commun Comput 30(4):285–297, 2019). Indeed, we introduce the notion of near approximations in a ring, which is an extended notion of a rough approximations in a ring. Then we define lower and upper near subrings based on ideals in a ring and give some properties of such subrings. Furthermore, we obtain a comparison between these types of approximations and the approximations introduced by Davvaz (Inf Sci 176:2417–2437, 2006).

Original language	English
Pages (from-to)	701-721
Number of pages	21
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	32
Issue number	6
DOIs	https://doi.org/10.1007/s00200-020-00421-3
Publication status	Published - Dec 2021

Keywords

Ideal
Lower and upper approximations
Near set
Ring
Rough set

Access to Document

10.1007/s00200-020-00421-3

Cite this

@article{41f1ebda4eff411c8c4a9d4a30a95dda,

title = "Near approximations in rings",

abstract = "This paper is a continuation of ideas presented by Bagirmaz (Appl Algebra Eng Commun Comput 30(4):285–297, 2019). Indeed, we introduce the notion of near approximations in a ring, which is an extended notion of a rough approximations in a ring. Then we define lower and upper near subrings based on ideals in a ring and give some properties of such subrings. Furthermore, we obtain a comparison between these types of approximations and the approximations introduced by Davvaz (Inf Sci 176:2417–2437, 2006).",

keywords = "Ideal, Lower and upper approximations, Near set, Ring, Rough set",

author = "Bijan Davvaz and Soleha and Setyawati, \{Dian Winda\} and Imam Mukhlash and Rinurwati",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH, DE.",

year = "2021",

month = dec,

doi = "10.1007/s00200-020-00421-3",

language = "English",

volume = "32",

pages = "701--721",

journal = "Applicable Algebra in Engineering, Communications and Computing",

issn = "0938-1279",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "6",

}

TY - JOUR

T1 - Near approximations in rings

AU - Davvaz, Bijan

AU - Soleha,

AU - Setyawati, Dian Winda

AU - Mukhlash, Imam

AU - Rinurwati,

PY - 2021/12

Y1 - 2021/12

N2 - This paper is a continuation of ideas presented by Bagirmaz (Appl Algebra Eng Commun Comput 30(4):285–297, 2019). Indeed, we introduce the notion of near approximations in a ring, which is an extended notion of a rough approximations in a ring. Then we define lower and upper near subrings based on ideals in a ring and give some properties of such subrings. Furthermore, we obtain a comparison between these types of approximations and the approximations introduced by Davvaz (Inf Sci 176:2417–2437, 2006).

AB - This paper is a continuation of ideas presented by Bagirmaz (Appl Algebra Eng Commun Comput 30(4):285–297, 2019). Indeed, we introduce the notion of near approximations in a ring, which is an extended notion of a rough approximations in a ring. Then we define lower and upper near subrings based on ideals in a ring and give some properties of such subrings. Furthermore, we obtain a comparison between these types of approximations and the approximations introduced by Davvaz (Inf Sci 176:2417–2437, 2006).

KW - Ideal

KW - Lower and upper approximations

KW - Near set

KW - Ring

KW - Rough set

UR - https://www.scopus.com/pages/publications/85081721194

U2 - 10.1007/s00200-020-00421-3

DO - 10.1007/s00200-020-00421-3

M3 - Article

AN - SCOPUS:85081721194

SN - 0938-1279

VL - 32

SP - 701

EP - 721

JO - Applicable Algebra in Engineering, Communications and Computing

JF - Applicable Algebra in Engineering, Communications and Computing

IS - 6

ER -

Near approximations in rings

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this