Abstract
In 1999, Molodtsov introduced the concept of soft set theory as a general mathematical tool for dealing with uncertainty. Many researchers have studied this theory, and they created some models to solve problems in decision making and medical diagnosis, but most of these models deal only with one expert. This causes a problem with the user, especially with those who use questionnaires in their work and studies. In our model, the user can know the opinion of all experts in one model. So, in this paper, we introduce the concept of a soft expert set, which will more effective and useful. We also define its basic operations, namely, complement, union intersection AND, and OR. Finally, we show an application of this concept in decision-making problem.
Highlights
Most of the problems in engineering, medical science, economics, environments, and so forth, have various uncertainties
For two soft sets F, A and G, B over U, F, A is called a soft subset of G, B if i A ⊂ B, ii for all ε ∈ A, F ε, and G ε are identical approximations
This relationship is denoted by F, A ⊂ G, B
Summary
Most of the problems in engineering, medical science, economics, environments, and so forth, have various uncertainties. Many researchers have studied this theory, and they created some models to solve problems in decision making and medical diagnosis, but most of these models deal only with one expert, and if we want to take the opinion of more than one expert, we need to do some operations such as union, intersection, and so forth. This causes a problem with the user, especially with those who use questionnaires in their work and studies. We give an application of this concept in a decision-making problem
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