In the original language
We propose two applications of a special linearly ordered commutative ring with zero divisors in business decision making. First, we consider an enterprise facing several future scenarios (events) with the likelihood (expectation or probability) and the worst impact score of each event being given. We propose that the likelihoods and scores attain values in the special linearly ordered ring. The undesired impact of an event can be mitigated if the enterprise makes an investment into preventive measures. The goal is to find an optimal allocation of a limited budget so as to minimize the overall expected impact score. Second, we briefly note that it also makes sense to use the special linearly ordered ring with zero divisors in the FMEA (Failure Mode and Effects Analysis) method, and, in line with the first application, we propose an extension the method. We illustrate the applications by simple examples.