Nobusawa Gamma Nearness Semirings

Öztürk, Mehmet Ali̇; Yazarlı, Hasret

doi:10.1142/s1793005721500289

Cited by 6 publications

(3 citation statements)

References 12 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

Self Cite

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

Section: Introductionmentioning

confidence: 99%

Quotient Nearness d-Algebras

Yılmaz

Yazarlı

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…İnan and Öztürk introduced the notion of nearness groups and nearness semigroups [5], [6], [7]. Also, other approaches have been studied in [8], [9], [10], [11], [12], [13].…”

Section: Introductionmentioning

confidence: 99%

Quasi ideals of nearness semirings

Teki̇n

2021

Cumhuriyet Science Journal

View full text Add to dashboard Cite

This article introduces quasi-ideals in semirings on weak nearness approximation spaces. Concepts and definitions are given to clarify the subject of quasi ideals in semirings on weak nearness approximation spaces. Some basic properties of quasi ideals are also given. Furthermore, it is given that the definition of upper-near quasi ideals. And, it is examined that the relationship between quasi ideals and upper near quasi ideals. Therefore, the features described in this study will contribute greatly to the theoretical development of the nearness semirings theory.

show abstract

“…İnan and Öztürk introduced the notion of nearness groups [5]. Therefore, other approaches have been studied in [6], [7], [8].…”

Section: Introductionmentioning

confidence: 99%

Bi Ideals of Nearness Semirings

Teki̇n¹

2021

European Journal of Science and Technology

View full text Add to dashboard Cite

Bi ideals are the generalisation of quasi ideals. In this article, it is defined that the notion of bi-ideals in semirings on weak nearness approximation spaces. Afterwards, it is explained that some of the concepts and definitions related to the subject. Also, it is given that the definition of nearness −bi ideals and nearness ( , ) −quasi ideals. Thus, we examine the relationship between nearness m-bi ideals and nearness (m,n)-quasi ideals .

show abstract

Nobusawa Gamma Nearness Semirings

Cited by 6 publications

References 12 publications

Quotient Nearness d-Algebras

Quotient Nearness d-Algebras

Quasi ideals of nearness semirings

Bi Ideals of Nearness Semirings

Contact Info

Product

Resources

About