Research Article

RP-T-Fuzzy Soft Subrings and Ideals of Soft Rings

Volume: 41 Number: 4 December 29, 2020
EN

RP-T-Fuzzy Soft Subrings and Ideals of Soft Rings

Abstract

 In this paper we introduce a concept which is called RP-T-fuzzy

soft subring and examine some properties of the restricted intersection, the

restricted union, the ∧-intersection and the product of their families. A con-

dition to make the restricted union of RP-T-fuzzy soft subrings of a soft ring

to be RP-T-fuzzy soft subring of this soft ring is determined. A correlation

between the RP-T-fuzzy soft subring of a soft ring and α-level sets of this soft

ring is demonstrated. The RP-T-fuzzy soft subrings under some binary opera-

tions are investigated. Moreover, the image and pre-image of RP-T-fuzzy soft

subrings under fuzzy soft homomorphisms is examined. Finally, we present the

concept of RP-T-fuzzy soft ideal and we investigate the analogue properties

for them.

Keywords

References

  1. [1] Zadeh L. A., Fuzzy Sets, Inf. Control, 8 (1965) 338–353.
  2. [2] Rosenfeld A., Fuzzy Groups, Journal of Mathematical Analysis and Applications, 35(3) (1971) 512–517.
  3. [3] Liu W. , Fuzzy Invariant Subgroups and Fuzzy Ideals, Fuzzy Sets and Systems, 8 (1982) 133–139.
  4. [4] Dixit V. N., Kumar R., and Ajmal N., On fuzzy rings, Fuzzy Sets and Systems, 49 (1992) 205–213.
  5. [5] Molodtsov D., Soft Set Theory First Results, Computers and Mathematics with Applications, 37 (1999) 19–31.
  6. [6] Maji P.K., Biswas R. and Roy A.R., . Soft Set Theory, Computers and Mathematics with Applications, 45 (2003) 555–562.
  7. [7] Ali M. I., Feng F., Liu -X., Min -W.K. and Shabir M., On Some New Operations in Soft Set Theory, Computers and Mathematics with Applications, 57 (2009) 1547–1553.
  8. [8] Aktaş H. and Çağman N., Soft Sets and Soft Groups, Inform. Sci., 177 (2007) 2726–2735.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Ertuğrul Akçay
0000-0002-4515-9344
Türkiye

Publication Date

December 29, 2020

Submission Date

September 23, 2019

Acceptance Date

September 16, 2020

Published in Issue

Year 2020 Volume: 41 Number: 4

APA
Akın, C., & Akçay, E. (2020). RP-T-Fuzzy Soft Subrings and Ideals of Soft Rings. Cumhuriyet Science Journal, 41(4), 832-844. https://doi.org/10.17776/csj.623545

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