In expert systems, we often face a problem of estimating the expert's degree of confidence in a composite statement AB such “and”-operations are known as t-norms. In practice, however, in different areas, different “and”-operations provide a good description of expert reasoning. As a result, when we combine expert knowledge from different areas into a single expert system, it is reasonable to use different “and”-operations to combine different statements. In this case, associativity is no longer a natural requirement. We show, however, that in such situations, under some reasonable conditions, associativity of each “and”-operation can still be deduced. Thus, in this case, we can still use associative t-norms.
['Mahdokhat Afravi', 'Vladik Kreinovich']
What if we use different “and”-operations in the same expert system