A Novel Fuzzy Intelligence-Based Decision Support System and Its Application

Abstract

Fuzzy credibility hyper soft set is a mathematical tool for dealing with uncertain or ambiguous information where the degree of membership of an element to a set is represented by a credibility function. The credibility function assigns a value between 0 and 1 to each element of the universe of discourse, indicating the degree to which the element belongs to the set. The higher the value of the credibility function, the more credible the element is considered to belong to the set. In many real-world applications, partial or unclear data is present, which is why fuzzy credibility hyper soft set theory is able to manage it. Fuzzy credibility hyper soft set could be uses in daily life.  It may be used in many different contexts, including decision-making, expert systems, pattern recognition, and image processing. Basic operational rules were first introduced, and then new concepts like fuzzy credibility hyper soft weighted average were developed based on these operational laws. To demonstrate the validity of the described work, an algorithm is set up in the context of  and a numerical example is provided.