4.6 Article

On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

Journal

IEEE ACCESS
Volume 10, Issue -, Pages 11048-11056

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2022.3145376

Keywords

(alpha, beta)-PFS; (alpha, beta)-PFSR; (alpha, beta)-PFID; (alpha, beta)-PFLSR

Funding

  1. Council of Scientific and Industrial Research (CSIR), Human Resource Development Group (HRDG), India [09/599(0081)/2018-EMR-I]
  2. Department of Science and Technology (DST)-Fund for Improvement of S&T Infrastructure (FIST), New Delhi, India [SR/FST/MS-I/2018/21]
  3. Research Council Faroe Islands
  4. University of the Faroe Islands

Ask authors/readers for more resources

In this article, the effectiveness of (alpha, beta)-Pythagorean fuzzy set in dealing with uncertainty is discussed. The concepts of (alpha, beta)-Pythagorean fuzzy subring and (alpha, beta)-Pythagorean fuzzy ideal of a ring are introduced, along with various related results and the level subring. The direct product and ring homomorphism of (alpha, beta)-Pythagorean fuzzy subrings are also studied.
(alpha, beta)-Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of (alpha, beta)-Pythagorean fuzzy subring and (alpha, beta)-Pythagorean fuzzy ideal of a ring. Further, we have briefly described various results related to it. Also, we have discussed the level subring of an (alpha, beta)-Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of (alpha, beta)-Pythagorean fuzzy subrings.

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