In this manuscript, we proposed a novel framework of the q-rung orthopair fuzzy subfield (q-ROFSF) and illustrate that every Pythagorean is certain field. We extend theory discuss its diverse basic algebraic characteristics in detail. Furthermore, prove some fundamental results establish helpful examples related to them. Moreover, present homomorphic images pre-images under field homomorphism. ...

the aim of this paper is to establish a fuzzy version of the dualitybetween domains and completely distributive lattices. all values aretaken in a fixed frame $l$. a definition of (strongly) completelydistributive $l$-ordered sets is introduced. the main result inthis paper is that the category of fuzzy domains is dually equivalentto the category of strongly completely distributive $l$-ordereds...

In this paper, we study some of the properties of (Q, L) -fuzzy normal ideal of a ring and prove some results on these. 2000 AMS SUBJECT CLASSIFICATION: 03F55, 08A72, 20N25.

This paper is the third in a series of papers studying equivalence classes of fuzzy subgroups of a given group under a suitable equivalence relation. We introduce the notion of a pinned flag in order to study the operations sum, intersection and union, and their behavior with respect to the equivalence. Further, we investigate the extent to which a homomorphism preserves the equivalence. Whenev...

We present in this paper a new formalism for graph matching, based on fuzzy homomorphism. The optimal solution is found by a genetic algorithm adapted to this formalism. This type of matching is used for model-based scene recognition, where objects and their relations are represented as graphs, in the scene and in the model. Our method deals with imperfect matching, were no iso-morphism can be ...

For the generality of fuzzy ideals in TM-algebra, a cubic ideal this algebra has been studied, such as and T-ideals. Some properties these are investigated. Also, we show that T-ideal is ideal, but converse not generally valid. In addition, sub-algebra defined, new relations between level subset discussed. After that, T-ideals under homomorphism image (pre-image) Finally, Cartesian product TM-a...

The complex fuzzy environment is an innovative tool to handle ambiguous situations in different mathematical problems. In this article, we commence the abstraction of (?,?)-complex sets, subgroupoid, subgroups and describe important examples symmetric group under sets. Additionally, discuss conjugacy class with respect normal subgroups. We define cosets elaborate upon certain operation analog t...

Let $nin mathbb{N}$. An additive map $h:Ato B$ between algebras $A$ and $B$ is called $n$-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $ain A$. We show that every $n$-Jordan homomorphism between commutative Banach algebras is a $n$-ring homomorphism when $n < 8$. For these cases, every involutive $n$-Jordan homomorphism between commutative C-algebras is norm continuous.

In modelling applied problems only partial informations may be known (or) there may be a degree of uncertainty in the parameters used in the model or some measurements may be imprecise. Due to such features, we are tempted to consider the study of functional equations in the fuzzy settings. For the last 40 years, the fuzzy theory has become a very active area of research and a lot of developmen...

let $mathcal {a} $ and $mathcal {b} $ be c$^*$-algebras. assume that $mathcal {a}$ is of real rank zero and unital with unit $i$ and $k>0$ is a real number. it is shown that if $phi:mathcal{a} tomathcal{b}$ is an additive map preserving $|cdot|^k$ for all normal elements; that is, $phi(|a|^k)=|phi(a)|^k $ for all normal elements $ainmathcal a$, $phi(i)$ is a projection, and there exists a posit...