Abstract
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.
Highlights
Information about the world around is inaccurate and incomplete or uncertain
We are introducing a new class of soft open sets, namely soft *open set deduce from soft topology, and we are using it to implement the new approximation space called soft multi-function approach space
We obtained the relationship between these concepts and other fuzzy soft multifunction
Summary
Information about the world around is inaccurate and incomplete or uncertain. Granulation of information is very necessary to solve human problems, and have a very significant impact on the design and implementation of intelligent systems [1,2]. Akdağ et al [22] introduced the concept of upper and lower α-continuity of soft multi-function. If Å is soft lower * -continuous while ÅðvÞ 1⁄4 ÅjM ðvÞ eðK; IÞ , so, there are *- open set V U include v so that ÅðnÞ e ðK; IÞ for all n 2 V. As Å is soft- lower *- continuous, the class of all open sets of the form ÅþðWk; IÞ , for ðWk; IÞ 2 f is a soft *- cover of V there is has a finite sub-cover. For ÅÀðV ; IÞ 1⁄4 fag and ÅÀðV ; IÞ 1⁄4 fb; ag are upper (lower) *open sets but fb; ag is not open sets in U : Remark 3.2 Let F be soft upper *continuous Fis continuous soft-semi upper and upper a -continuous the reverse is not valid in generally as illustrated the example. The multi-function F: ðU ; dÞ ! ðZ; ec; IÞ defined out as follows FðaÞ 1⁄4 ðV ; IÞ; FðbÞ 1⁄4 Ze while FðcÞ 1⁄4 ðL; IÞ is soft- lower *-continuous multi-function but is not soft upper a - continuous multi-function
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