1,721,008 research outputs found
Knowing and Guessing: A quantitative Study of Inference and Information.-S. Watanabe- (book review)
No full textEntropy of L-fuzzy sets
No full textThe 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 necessity of considering poset structures as range of the maps are discussed.The interpretative problems of the given mathematical definitions regarding the connections with decision theory are briefly analyzed
A necessary and sufficient condition for the convergence of logarithmic entropy of a fuzzy set
No full textIn the labyrinth of many-valued logics
No full textThe paper contains a wide report (based on more than 70 reviewed items) of technical, philosophical and applications questions concerning multiple-valued and fuzzy logics, and, more in general, concerning the debate about the relevance and the reliability of the formal counterparts of "commonsense" notions like vagueness, imprecision and uncertainty
Algebraic properties of fuzzy sets
No full textAbstractSome new algebraic properties of the class L of the “fuzzy sets” are stressed; in particular it is pointed out that the class of the generalized characteristic functions furnished with the lattice operations proposed by Zadeh is a Brouwerian lattice.The possibility of inducing other different lattice operations to the whole class L or to a suitable subclass of it is considered.The problem of the relationship between “fuzzy sets” and classical set theory is finally remarked. A qualitative comparison with similar situations appearing in the axiomatic formulation of quantum mechanics and in the classical theory of probability is made
- …
