In this article, we present and investigate some of the features of novel generalized fuzzy subalgebras (FSAs) of Hilbert algebras called (∈, ∈ ∨qm)-fuzzy subalgebras ((∈, ∈ ∨qm)-FSAs) and also ...provide examples to support and oppose this idea. The level subsets of (∈, ∈ ∨qm)-FSAs are used to describe them. There are also certain characterizations of (∈ , ∈ ∨qm)-FSAs developed. Moreover, we find that the Cartesian product of (∈, ∈ ∨qm)-FSAs is still an (∈, ∈ ∨qm)-FSA.
Comparative and Allied UP-Filters Jun, Y. B.; Iampan, A.
Lobachevskii journal of mathematics,
2019/1, Letnik:
40, Številka:
1
Journal Article
Recenzirano
The notions of a comparative UP-filter and an allied UP-filter are introduced, and related properties are investigated. Relations between a UP-filter, an implicative UP-filter and a comparative ...UP-filter are discussed. Conditions for a UP-filter to be a comparative UP-filter are displayed. Conditions for a comparative UP-filter to be an implicative UP-filter are considered. We show that comparative UP-filters and implicative UP-filters coincide in a meet-commutative UP-algebra
X
satisfying the condition (∀
x
,
y
,
z
∈
X
) (
x
· (
y
·
z
) =
y
· (
x
·
z
)). Characterizations of a comparative UP-filter are stated. An extension property for comparative UP-filter is established. Conditions for a UP-filter to be an
x
-allied UP-filter for given
x
∈
X
are provided.
Chanmanee et al. examined the idea of the external direct product of the infinite family of UP (BCC)-algebras, and the conclusion is reached for UP (BCC)-algebras. We apply the idea of the internal ...direct product of a groupoid to a UP (BCC)-algebra by introducing two new ideas for internal direct products of UP (BCC)-algebras: the internal and antiinternal direct products. This idea comes from the idea of the external direct products of UP (BCC)-algebras. We examine the attributes of both ideas and identify the crucial attributes for drawing the investigation to a conclusion. Finally, we establish the crucial statement that the internal and anti-internal direct products of a UP (BCC)-algebra may exist in only one form each.
Bipolar Fuzzy Sublattices and Ideals Kalyani, U. Venkata; Eswarlal, T.; KaviKumar, J. ...
International journal of analysis and applications,
09/2022, Letnik:
20
Journal Article
Recenzirano
Odprti dostop
In this article, we introduce and study the theory of bipolar fuzzy sublattices (BFLs) and bipolar fuzzy ideals (BFIs) of a lattice, and some interesting properties of these BFLs and BFIs are ...established. Moreover, we study the properties of BFIs under lattice homomorphisms and also an application of BFLs.
Bipolar Fuzzy Magnified Translations in Groups Kalyani, U. Venkata; Eswarlal, T.; Rao, K. V. Narasimha ...
International journal of analysis and applications,
01/2022, Letnik:
20
Journal Article
Recenzirano
Odprti dostop
In this paper, we define a bipolar fuzzy magnified translation (BFMT) of a bipolar fuzzy subgroup (BFSG) of a group. Based on this concept we have also developed some important results and theorems ...on bipolar fuzzy groups.
PDF