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The corona virus disease 2019 (COVID-19) has emerged as a fatal virus. This deadly virus has taken the whole world into clutches and many people have embraced death due to this invincible bug. The death toll is rising with every tick of time. The aspiration behind this article is to discover the preventive measure that should be taken to cope with this intangible enemy. We study the prime notions of novel sort of topology accredited Pythagorean $m$-polar fuzzy topology along with its prime attributes. We slightly amend the well-acknowledged multi-criteria decision analysis tool TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) to befit the proposed multi-criteria group decision making (MCGDM) problem of exploring the most effective method for curing from COVID-19 employing the proposed model.

The aim of this paper is to introduce the notion of m-polar spherical fuzzy set (mPSFS) as a hybrid model of spherical fuzzy set (SFS) and m-polar fuzzy set (mPFS). The proposed model named as mPSFS is an efficient model to address multi-polarity in a spherical fuzzy environment. That is, an mPSFS assigns $m$ number of ordered triple of three independent grades (membership degree, neutral-membership degree and non-membership degree) against each alternative in the universe of discourse. The existing models, namely, mPFS and SFS, are the special cases of suggested hybrid mPSFS. In order to ensure the novelty of this robust extension, various operations on the m-polar spherical fuzzy sets (mPSFSs) are introduced with some brief illustrations to understand these concepts. A robust multi-criteria decision-making (MCDM) method is established by using new score function and accuracy function for m-polar spherical fuzzy numbers (mPSFNS). Additionally, the extensions of technique of order preference by similarity to ideal solution (TOPSIS) and gray relationship analysis (GRA) towards m-polar spherical fuzzy environment are proposed. Moreover, an application to nephrotic syndrome which may lead to kidney damage is analyzed by extensions TOPSIS and GRA. The proposed techniques and their algorithms provide a fruitful diagnosis procedure in the treatment of nephrotic syndrome. Lastly, we give a comparison analysis of the suggested models with some existing models as well.

Bipolar disorder ($𝔹𝔻$) is a neurodegenerative disease that consists of two main manifestations: mania and depression. In the clinical diagnosis of $𝔹𝔻$, there are two primary components. First and foremost is itself $𝔹𝔻$ which is often wrongly diagnosed as unipolar depression in clinical finding. This is so because in clinical diagnosis the first factor is often neglected due to its approach towards positivity. As a result, the element of bipolarity dies down, and the condition worsens. The second disadvantage is that $𝔹𝔻$ is frequently misdiagnosed due to comparable indications and symptoms. To overcome these diagnosis issues, a cubic bipolar fuzzy set (CBFS) which comprises both bipolar fuzzy set (BFS) and interval-valued bipolar fuzzy set (IVBFS) is very helpful for clinical diagnosis of $𝔹𝔻$. A CBFS has the ability to handle bipolarity with suitable closed intervals to express positive and negative grades to build a solid numerical demonstrating interaction to analyze this disorder effectively. For these objectives, the algorithms of technique for the order of preference by similarity to positive ideal solution (TOPSIS) and elimination and choice translating reality (ELECTRE-I) for multi-criteria decision-making (MCDM) based on CBF information are developed. The application of proposed algorithms is presented for clinical diagnosis of $𝔹𝔻$. In order to discuss efficiency and validity of the proposed MCDM approaches, we apply the authenticity test for ranking of feasible alternatives and optimal decision by TOPSIS and ELECTRE-I. The comparison analysis of proposed MCDM approaches with existing techniques is also given.

Using and consuming healthy and natural products has been of concern for many of us. We want all the products we eat, drink, wear, and use to be natural or healthy, but over the years, it has become either very difficult to find natural products or it can be very expensive. Cleaning our body and kitchen utensils with natural products has also recently emerged as an important issue. In this study, we evaluate washing liquids from the viewpoint of human and environmental health. While making the evaluation, nine important criteria were taken into consideration and six alternative washing liquids were selected to find out which one is more suitable. Multi Criteria Decision Making Methodologies (MCDM) were utilized while performing the ranking process. Criteria weights were found through the Step-wise Weight Appraisal Ratio Analysis (SWARA) methodology. The alternatives’ ranking was determined through the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) methodology.