• On Fuzzy measure of Symmetry Breaking of Conditions, Similarity and Comparision: Non Statistical information for the Single Patient

Abstract

In this article, we intend to show that the results which were obtained on the basis of the fact that fuzzy sets donot satisfy excluded midle laws can no longer hold. This in turn hepls us to look into the matter seriously because otherwise, if these are used in other fields without proper thinking, we would have to be satisfied with a result having insufficient information. Here we would like to state about measures of breaking symmetry of conditions, similarity and comparisions for different patients’ state which were derived by some authors becomes inappropriate from our standpoints. The shortcomings that arise in dealing with complementation of fuzzy sets should not be sidestepped for future works to get a fruitful outcome. Again a new proposal for defining entropy of fuzzy sets has been put forward.