Generator Implementations of Pythagorean Power Uncertainty Commutative Group Structures

In this paper, we study the concept of Pythagorean uncertainty set (PUS) to introduce the concepts of Pythagorean power uncertainty abelian subgroups (PPUAS), Pythagorean power uncertainty normal subgroups (PPUNS) and its properties. Also, we study those concepts in terms of the Cartesian product of Pythagorean power uncertainty sets. Finally, homomorphic images and pre-images of Pythagorean uncertainty sets are established.

Authors

Publication Details

Journal
International Journal of Mathematics Trends and Technology
Published
2025-02-28
DOI
https://doi.org/10.14445/22315373/ijmtt-v71i2p104
Primary Topic
Advanced Algebra and Logic
Type
article
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article

Generator Implementations of Pythagorean Power Uncertainty Commutative Group Structures

G. Subbiah, D. S. Jayalakshmi
International Journal of Mathematics Trends and Technology
Advanced Algebra and Logic
article

Generator Implementations of Pythagorean Power Uncertainty Commutative Group Structures

G. Subbiah, D. S. Jayalakshmi
article en

Abstract

In this paper, we study the concept of Pythagorean uncertainty set (PUS) to introduce the concepts of Pythagorean power uncertainty abelian subgroups (PPUAS), Pythagorean power uncertainty normal subgroups (PPUNS) and its properties. Also, we study those concepts in terms of the Cartesian product of Pythagorean power uncertainty sets. Finally, homomorphic images and pre-images of Pythagorean uncertainty sets are established.

International Journal of Mathematics Trends and TechnologyVol. 71(2)
Openalex Percentile: Top 94%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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Generator Implementations of Pythagorean Power Uncertainty Commutative Group Structures — G. Subbiah, D. S. Jayalakshmi · International Journal of Mathematics Trends and Technology (2025) | TGRS Research Map | TGRS