Bipolar Pythagorean Fuzzy Subring of a Ring

Rajan Jansı; Krishnaswamy Mohana

EN

Bipolar Pythagorean Fuzzy Subring of a Ring

Abstract

In this paper, we study some of the properties of bipolar Pythagorean fuzzy subring of a ring and prove some results on these. We derive some important theorems and intersection and product are applied into the bipolar Pythagorean fuzzy subring of a ring.

Keywords

Bipolar Pythagorean fuzzy set,bipolar Pythagorean fuzzy subring,bipolar pythagorean fuzzy product

References

L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87- 90.
R. R. Yager, Pythagorean Fuzzy Subsets, In: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, (2013) 57-61.
R. R. Yager, A. M. Abbasov, Pythagorean Membership Grades, Complex Numbers and Decision Making, International Journal of Intelligent Systems 28 (2013) 436-452.
R. R. Yager, Pythagorean Membership Grades in Multicriteria Decision Making, IEEE Transactions on Fuzzy Systems 22 (2014) 958-965.
Y. B. Jun, S. Z. Song, Subalgebras and Closed Ideals of BCH-Algebra Based on Bipolar Valued Fuzzy Sets, Scientiae Mathematicae Japonicae Online 2 (2008) 427-437.
P. Bosc, O. Pivert, On a Fuzzy Bipolar Relational Algebra, Information Sciences 219 (2013) 1-16.
K. J. Lee, Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI-Algebras, Bulletin of the Malaysian Mathematical Sciences Society 32(3) (2009) 361-373.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Rajan Jansı ^* This is me
India

Krishnaswamy Mohana This is me
India

Publication Date

March 26, 2020

Submission Date

June 27, 2019

Acceptance Date

October 20, 2020

Published in Issue

Year 2020 Number: 30

IZ

https://izlik.org/JA98FP59HJ

Cite

RIS / Bibtex

APA

Jansı, R., & Mohana, K. (2020). Bipolar Pythagorean Fuzzy Subring of a Ring. Journal of New Theory, 30, 8-20. https://izlik.org/JA98FP59HJ

AMA

1.Jansı R, Mohana K. Bipolar Pythagorean Fuzzy Subring of a Ring. JNT. 2020;(30):8-20. https://izlik.org/JA98FP59HJ

Chicago

Jansı, Rajan, and Krishnaswamy Mohana. 2020. “Bipolar Pythagorean Fuzzy Subring of a Ring”. Journal of New Theory, nos. 30: 8-20. https://izlik.org/JA98FP59HJ.

EndNote

Jansı R, Mohana K (March 1, 2020) Bipolar Pythagorean Fuzzy Subring of a Ring. Journal of New Theory 30 8–20.

IEEE

[1]R. Jansı and K. Mohana, “Bipolar Pythagorean Fuzzy Subring of a Ring”, JNT, no. 30, pp. 8–20, Mar. 2020, [Online]. Available: https://izlik.org/JA98FP59HJ

ISNAD

Jansı, Rajan - Mohana, Krishnaswamy. “Bipolar Pythagorean Fuzzy Subring of a Ring”. Journal of New Theory. 30 (March 1, 2020): 8-20. https://izlik.org/JA98FP59HJ.

JAMA

1.Jansı R, Mohana K. Bipolar Pythagorean Fuzzy Subring of a Ring. JNT. 2020;:8–20.

MLA

Jansı, Rajan, and Krishnaswamy Mohana. “Bipolar Pythagorean Fuzzy Subring of a Ring”. Journal of New Theory, no. 30, Mar. 2020, pp. 8-20, https://izlik.org/JA98FP59HJ.

Vancouver

1.Rajan Jansı, Krishnaswamy Mohana. Bipolar Pythagorean Fuzzy Subring of a Ring. JNT [Internet]. 2020 Mar. 1;(30):8-20. Available from: https://izlik.org/JA98FP59HJ