Abstract
The theory of fuzzy bipolar soft sets is an efficient extension of soft sets for depicting the bipolarity of uncertain fuzzy soft information; however, it is limited to a single expert. The present research article introduces the theory of an innovative hybrid model called the fuzzy bipolar soft expert sets, as a natural extension of two existing models (including fuzzy soft expert sets and fuzzy bipolar soft sets). The proposed model is highly suitable for describing the bipolarity of fuzzy soft information having multiple expert opinions. Some fundamental properties of the developed hybrid model are discussed, including subset, complement, union, intersection, AND operation, and OR operation. The proposed concepts are explained with detailed examples. Moreover, to demonstrate the applicability of our initiated model, an application of the proposed hybrid model is presented along with the developed algorithm to tackle the real-world group decision-making situation, that is, ranking effectiveness of tests in spread analysis of COVID-19. Finally, a comparative analysis of the developed model with some existing mathematical tools such as fuzzy soft expert sets and fuzzy bipolar soft sets is provided to show the cogency and reliability of the initiated model.
Highlights
E fuzzy set theory led to the development and proposal of extensions like intuitionistic fuzzy sets [3] and bipolar fuzzy sets [2]
Alkazellah and Salleh [14] resolved this issue by introducing the notion of soft expert sets (SESs), which considers all expert opinions dealing with a multiattribute group decision-making (MAGDM) situation
This study presented the concept of FBSESs by combining fuzzy SESs and fuzzy bipolar soft sets (BSSs) which is more useful and reliable than its components
Summary
We will use the proposed FBSES model to deal with the uncertainties in a real-life problem. Ranking effectiveness of tests for spread analysis of COVID-19. Different countries are developing and have developed vaccines to save people from getting infected, but the availability of vaccination to each and every person will take a lot of time These vaccines might not work with the virus’s new strands and have a success rate up to 80% to 90% only. With a slight increase or decrease in prevalence percentage, the number of false positives and false negatives can change significantly Keeping this in view, prevalencedependent factors have been analyzed at three different levels. In addition to the above diagnosis tests, contact tracing can prove to be an effective strategy if implemented wisely Countries such as China and South Korea used mobile tracing apps and geolocalization technology to announce high infection areas and track those in contact with the infected, getting a firm control on the spread of this disease efficiently
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