Intervals and Further : Do We Need All New Fuzzy Values ?

| In many practical applications of fuzzy methodology, it is desirable to go beyond the interval 0; 1] and to consider more general fuzzy values: e.g., intervals, or real numbers outside the interval 0; 1]. When we increase the set of possible fuzzy values, we thus increase the number of bits necessary to store each degree, and therefore, increase the computation time which is needed to process these degrees. Since in many applications, it is crucial to get the result on time, it is therefore desirable to make the smallest possible increase. In this paper, we describe such smallest possible increases.