8. Fuzzy random subsets and expertons

Another important extension of fuzzy subsets is fuzzy random subsets and their generalization into expert theory. Let's look at an example to introduce fuzzy random subsets. Suppose 7 experts are asked to give their valuation in [0, 1] on a property or predicate. For example, the experts have to decide on the valuation or truth value of a proposition such as: this vehicle is in good condition, the pressure is too high to act, the right direction is indicated on the map, the product used is appropriate, etc. Consider the figure 5 .

In figure 5 , column (4) represents a fuzzy random subset (FRS), in this case a singleton. The SEAF algebra is that of valuations, intervals and fuzzy subsets: same configurations...