On Fundamental Algebraic Properties of Complex Anti 𝑸 − Fuzzy Subrings

M.A., Rifayathali; Premkumar, M.; Shukla, Dhirendra Kumar; Garg, Ashwani Kumar; Prasanna, A.; S., Ismail Mohideen

doi:10.14704/nq.2022.20.5.nq22245

2022

DOI: 10.14704/nq.2022.20.5.nq22245

|View full text |Cite

On Fundamental Algebraic Properties of Complex Anti 𝑸 − Fuzzy Subrings

Rifayathali M.A.¹,

M. Premkumar²,

Dhirendra Kumar Shukla³

et al.

Abstract: In this paper, we introduce idea of complex anti 𝑄 − fuzzy subring and discuss its various algebraic aspects. We prove that every generate complex anti 𝑄 − fuzzy subring two anti 𝑄-fuzzy subrings. We also present the concept of level subsets of complex anti 𝑄 − fuzzy subring and show that level subset of complex anti 𝑄 − fuzzy subring form subring.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A note on direct product of complex intuitionistic fuzzy subfield

Khamis

Ahmad

2023

IFS

View full text Add to dashboard Cite

This paper presents the concepts of a complex intuitionistic fuzzy subfield (CIFSF) and the direct product of a complex intuitionistic fuzzy subfield which is generalized from the concept of a complex fuzzy subfield by adding the notion of intuitionistic fuzzy into a complex fuzzy subfield. The main contribution and originality of this research are adding the non-membership term to the definition of a complex fuzzy subfield that assigns for any element a complex-valued grade. We expand the complex fuzzy subfield and obtain a new structure called CIFSF. This new concept is innovative in that it may attain a wider range of values for both membership and non-membership functions where these functions are expanded to the unit disc in the complex plane. Furthermore, we discuss that the direct product of two CIFSFs is CIFSF, and some related properties are investigated. In addition, we present the definition of necessity and possibility operators on the direct product of CIFSF, and some associated theorems are given. Finally, we propose the level subsets of the direct product of two complex intuitionistic fuzzy subsets of a field and prove that the level subset of the direct product of two CIFSFs is a subfield and discuss some related results.

show abstract

A note on direct product of complex intuitionistic fuzzy subfield

Khamis

Ahmad

2023

IFS

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On Fundamental Algebraic Properties of Complex Anti 𝑸 − Fuzzy Subrings

Cited by 1 publication

References 0 publications

A note on direct product of complex intuitionistic fuzzy subfield

A note on direct product of complex intuitionistic fuzzy subfield

Contact Info

Product

Resources

About