The correct answer is:
(b) K-nearest neighbours algorithm
Explanation:
Case-based reasoning (CBR) is a problem-solving technique that uses previous cases (or experiences) to solve new problems. The K-nearest neighbours (K-NN) algorithm is a well-known method used in CBR because it relies on finding similar cases (or data points) from a stored set of examples, making it a direct fit for this approach.
Here's a breakdown of the options:
(a) Viterbi algorithm: This is a dynamic programming algorithm primarily used for hidden Markov models (HMMs) to find the most likely sequence of states given a sequence of observed events. It's not typically associated with case-based reasoning.
(b) K-nearest neighbours algorithm: This algorithm is widely used in machine learning, including case-based reasoning. In K-NN, the algorithm compares a new case with the "K" closest cases in a database to predict an outcome or find a solution. It works by measuring the similarity between cases, making it a good fit for CBR.
(c) Forward algorithm: The forward algorithm is also used in hidden Markov models to compute the probability of a sequence of observed events. It's not relevant to case-based reasoning.
(d) Backward algorithm: Similar to the forward algorithm, the backward algorithm is used in hidden Markov models to calculate the likelihood of observing a sequence of events, but it's not related to CBR.
So, K-nearest neighbours is the correct choice because it directly supports the idea of comparing new problems to stored cases to find a solution, which is the core of case-based reasoning.