ISSN 2394-5125
 

Research Article 


A Novel Study On Some Characterization Of PMS Algebras

Debajyoti Goswami.

Abstract
This research work aims to develop a new class of logical algebra, namely PMS-algebra, a name derived from
the author's name to represent, a newly defined algebra (X, *, 0) of type (2, 0), along with a newly defined PMSideal
and PMS-sub algebra. In this context, we are introducing the notion of G-part, p-radical and medial PMSalgebra
and establishing a relationship between p-radical, PMS-ideal and PMS-sub algebra. It is clear from the
correct examples that the existing algebras BCK / BCI / BCH / d / BH / Q / BM / BF / KU / TM / BG / KUS /
BRK / PS are all different notions from PMS-algebra. More about we provided the algorithms for PMS-algebra,
PMS-ideal and PMS sub-algebra. The homomorphism of PMS-algebra has been studied in detail. The notion of
fuzzy PMS-ideal PMS-algebra is described and the interrelation between fuzzy PMS-ideal and fuzzy PMS-sub
algebra PMS-algebra is established. Examples of Fuzzy extensions of PMS-ideal PMS-algebra are discussed.
Theorems of Fuzzy Homomorphism are discussed. The relationship between the level subsets, the fuzzy PMSideals
and the fuzzy PMS-sub algebra of PMS-algebra is obtained. Fuzzy translation and Fuzzy multiplication
on PMS-algebra are introduced and their properties are studied. In addition, the notion of PMS-sub algebra
PMS-algebra is discussed along with a fuzzy dot b - -strongest relationship.

Key words: PMS-sub-algebra, fuzzy PMS-sub-algebra, fuzzy PMS-ideal


 
ARTICLE TOOLS
Abstract
PDF Fulltext
How to cite this articleHow to cite this article
Citation Tools
Related Records
 Articles by Debajyoti Goswami
on Google
on Google Scholar


How to Cite this Article
Pubmed Style

Debajyoti Goswami. A Novel Study On Some Characterization Of PMS Algebras. JCR. 2020; 7(9): 3225-3230. doi:10.31838/jcr.07.09.492


Web Style

Debajyoti Goswami. A Novel Study On Some Characterization Of PMS Algebras. http://www.jcreview.com/?mno=13027 [Access: May 30, 2021]. doi:10.31838/jcr.07.09.492


AMA (American Medical Association) Style

Debajyoti Goswami. A Novel Study On Some Characterization Of PMS Algebras. JCR. 2020; 7(9): 3225-3230. doi:10.31838/jcr.07.09.492



Vancouver/ICMJE Style

Debajyoti Goswami. A Novel Study On Some Characterization Of PMS Algebras. JCR. (2020), [cited May 30, 2021]; 7(9): 3225-3230. doi:10.31838/jcr.07.09.492



Harvard Style

Debajyoti Goswami (2020) A Novel Study On Some Characterization Of PMS Algebras. JCR, 7 (9), 3225-3230. doi:10.31838/jcr.07.09.492



Turabian Style

Debajyoti Goswami. 2020. A Novel Study On Some Characterization Of PMS Algebras. Journal of Critical Reviews, 7 (9), 3225-3230. doi:10.31838/jcr.07.09.492



Chicago Style

Debajyoti Goswami. "A Novel Study On Some Characterization Of PMS Algebras." Journal of Critical Reviews 7 (2020), 3225-3230. doi:10.31838/jcr.07.09.492



MLA (The Modern Language Association) Style

Debajyoti Goswami. "A Novel Study On Some Characterization Of PMS Algebras." Journal of Critical Reviews 7.9 (2020), 3225-3230. Print. doi:10.31838/jcr.07.09.492



APA (American Psychological Association) Style

Debajyoti Goswami (2020) A Novel Study On Some Characterization Of PMS Algebras. Journal of Critical Reviews, 7 (9), 3225-3230. doi:10.31838/jcr.07.09.492