Nobusawa gamma nearness hemirings

Teki̇n, Özlem; Öztürk, Mehmet Ali̇

doi:10.1142/s1793557122501121

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

Publication Types

Select...

Preprint1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 2012, İnan and Öztürk analyzed the concept of nearness groups and investigated their basic properties ( [2]). After, in [3] and [13] the nearness semigroups and nearness rings were established and their basic properties were investigated respectively (and other algebraic approaches of near sets in see [10], [12], [14], [15], [16], [16], [19], [27], [28], and [29]).…”

Section: Introductionmentioning

confidence: 99%

Quotient Nearness d-Algebras

Yılmaz

Yazarlı

2022

Preprint

View full text Add to dashboard Cite

BCK/BCI-algebra is a class of logical algebras that was defined by K. Iseki and S. Tanaka. BCK-algebras have a lot of generalizations. One of them is d-algebras. Near set theory which is a generalization of rough set theory. This theory is based on the determination of universal sets according to the available information of the objects. Based on the image analysis, the near set theory was created. Oztu¨rk applied the¨ notion of near sets defined by J. F. Peters to the theory of d-algebras. In this paper we introduce upper-nearness d-ideal, upper-near (upper nearness) d # -ideal, upper-near (upper-nearness) d∗-ideal. We explored what conditions we should put on the ideal for quotient nearness d-algebra to become an nearness d-algebra again. Finally, we introduce quotient nearness d-algebras with the help of upper-nearness d∗-ideals of nearness d-algebras.MSC Classification: 03E75 , 03E99 , 03F55 , 06F35 , 06S40

show abstract