Title :
On the Maximum Entropy Negation of a Probability Distribution
Author :
Yager, Ronald R.
Author_Institution :
Machine Intell. Inst., Iona Coll., New Rochelle, NY, USA
Abstract :
We suggest a transformation to obtain the negation of a probability distribution. We investigate the properties of this negation. Using the Dempster-Shafer theory of evidence, we show of all the possible negations our proposed negation is one having a maximal type entropy.
Keywords :
fuzzy set theory; inference mechanisms; maximum entropy methods; statistical distributions; Dempster-Shafer theory of evidence; maximum entropy negation; negation properties; nonstandard fuzzy set; probability distribution; Bayes methods; Bismuth; Difference equations; Entropy; Finite element analysis; Probability distribution; Resource management; Aggregation; Decision- Making; Membership Grade; Non-standard Fuzzy Set; decision-making; membership grade; nonstandard fuzzy set;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2014.2374211
