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A functional defined on the class of generalized characteristic functions (fuzzy sets), called "entropy", is introduced using no probabilistic concepts in order to obtain a global measure of the indefiniteness connected with the situations described by fuzzy sets. This "entropy" may be regarded as a measure of a quantity of information which is not(More)
Is Biophysics an interdisciplinary science? In order to answer this rhetorical question, it can be useful to look back at history of disciplines, as well as that of the scientific institutions helping their development. In this contribution some aspects of the unusual hodgepodge of concepts involving Biophysics, the legacy of Cybernetics, cognitive science(More)
The notion of "entropy" of a fuzzy set, introduced in a previous paper in the case of generalized characteristic functions whose range is the interval [0, 1] of the real line, is extended to the case of maps whose range is a poset L (or, in particular, a lattice). Some of the reasons giving rise to the non-comparability of the truth values and then the(More)
The presence of vagueness in scientific theories (in particular, to those related to and connected with the management of information) is briefly analyzed. We consider, firstly, the problem whether vague predicates can be adequately represented by existing formal theories. A negative answer to this question produces, as a by-product, the suggestion that a(More)
In this paper, we will investigate the possible role of fuzzy set theory (FST), and more generally the ensemble of technologies and theoretical approaches known as soft computing, as a methodological bridge between hard sciences and humanities. We will try, building on previous works, to investigate the “family links” between these disciplines and show how(More)
In this paper we advance three clear-cut proposals as a contribution to the discussion on the role of notions of Computation and Fuzziness as a bridge between Hard and Soft Sciences. We suggest that an important difference between the two great families of science lies in their subject or research having a grounding in nature or not, and that Theory of(More)
In this study, we consider the concept of a predicate (P ) in a universe of discourse X from a specific viewpoint, i.e., the informational viewpoint with respect to its linguistic use. Its meaning and its different types are considered, particularly by considering the predicates that are “measurable” and designate a “collective” (P ) in X, which is not(More)