Real world applications are dealing now with a huge amount of data, especially in the area of high dimensional features. In this article, we depict the simply*upper, the simply*lower continuous, we get several characteristics and other properties with respect to upper and lower simply*-continuous soft multi-functions. We also investigate the relationship between soft-continuous, simply*continuous multifunction. We also implement fuzzy soft multifunction between fuzzy soft topological spaces which is Akdag’s generation of the notion. We are introducing a new class of soft open sets, namely soft simply*open set deduce from soft topology, and we are using it to implement the new approximation space called soft multi-function approach space. Simply*space for approximation based on a simply*open set. The world must adopt modern studies in order to confront epidemics. Accordingly, we presented a new decision proposal in this article, compared our proposed approach to the soft relationship introduced by approximation of Xueyou, and concluded that our approach is better. We also used our proposal in the medical application that was studied in this paper.

Information about the world around is inaccurate and incomplete or uncertain. Granulation of information is very necessary to solve human problems, and thus have a very significant impact on the design and implementation of intelligent systems [

Molodtsov et al. [

The upper and lower reverse of a fuzzy soft multifunction from ordinary topological space to fuzzy soft topological space has been described by Metin et al. [

We study some of their fundamental characteristics of this multi-function. Additionally, we study the relationship among soft continuous multifunction, soft alpha-continuous multi-function and soft pre-continuous multi-function. We also introduce the new approximation spaces called soft multifunction approximation space. Soft simply* approximation space based on soft simply* open set, and compare between these spaces and rough approximation induced by soft relation introduced by Xueyou [

The paper is structured as follows: The basic concepts of the soft set, fuzzy set and soft topological were explored in section two. Section three, we presented our proposed concept which is based on multi-function. In section four, some proposed concepts were introduced on fuzzy, soft and multi-function, and we also introduced a new concept to calculate the degree of accuracy, which has been applied in our paper, and section five concludes and highlights future scope.

In this section, the present study is inspired by pointing out soft set and soft topological blind spots. We implement the notion of softness to overcome these challenge.

Next, we shall discuss the comparison between the Yao method and our method for approximations. We deduce that in our method the soft lower approximation of any soft subset in soft simply an approximation space is definable soft set or soft exact set with respect to the lower and upper approximations of the methods Xueyou Chen. Thus, the boundary region of our method is empty set, and the following application shows this comparison.

For

We have Xueyou approximation on soft simply* approximation space and we comparison between the soft simply* approximation space, inverse lower, inverse upper with respect to Yao approximation. As the following

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Previous

Next, we shall introduce a new function called fuzzy soft simply* multifunction between two fuzzy soft topologies. Also, we introduce the concepts of fuzzy soft simply* lower and fuzzy soft simply* upper. We will use the new approximation in medical. Also, in this section, we shall present three algorithms.

Medical application explains the basic tasks performed by the medical expert in a group of patients and by transmitting their complaint into the possible causes of set that are of the cause of their disease. So, we get two soft classes

The aim of this paper is to introduce a new definition of upper and lower soft-simply* multifunction as well as present basic properties. Furthermore, we also obtained the relationship between these concepts and other fuzzy soft multifunction. We generated that the new approximation spaces called soft and fuzzy multifunction approximation space. We got that the accuracy of our approximations is better than the accuracy of others. We achieve proposed accuracy that depends up on the fuzzy and soft simply* approximation space, which is better than of Xueyou and Yao method. Our method grants a very chance of maker to pick out a suitable for him. We also presented a medical application to demonstrate that our proposed concept is actually applicable. Thus, our method provides more flexibility to the decision-maker to choose which is suitable for him. In the future, based on some recent soft-topological studies, we will expand the research content of this paper further. Also, it is possible to use our approach to contribute to reducing Coronavirus (Covid-19).