This paper proposes a model for the parametric representation of linguistic hedges in Zadeh’s fuzzy logic. In this model each linguistic truth-value, which is generated from a primary term of the linguistic truth variable, is identified by a real number r depending on the primary term. It is shown that the model yields a method of efficiently computing linguistic truth expressions accompanied w...

Note: the pagination is diierent in the published version We continue our study of the negation-free structure of multiplicative linear logic, as represented by the structure of weakly distributive categories, to consider the \exponentials" ! and ? in the weakly distributive context. In addition to the usual triple and cotriple structure that one would expect on each of the two operators, there...

We study several classes of polynomials, which are related to the Chebyshev, Morgan-Voyce, Horadam and Jacobsthal polynomials. Thus, we unify some of well-known results.

In this paper, we explore general relationships among negations, convex Archimedean nilpotent t-norms, and automorphisms of the unit interval I. Each nilpotent t-norm has a (strong) negation naturally associated with it, namely, 4 (x) = W fy 2 [0; 1] : x4 y = 0g. The same negation is determined by the formula 4 (x) = f 1 (f (0) =f (x)) where f is a (multiplicative) generating function for the t...

Let f be a de Morgan read-once function of n variables. Let f " be the random restriction obtained by independently assigning to each variable of f, the value 0 with probability (1 ? ")=2, the value 1 with the same probability, and leaving it unassigned with probability ". We show that f " depends, on the average, on only O(" n + "n 1==) variables, where = log p 5?1 2 ' 3:27. This result is asy...

We prove Beurling's theorem and L p − L q Morgan's theorem for step two nilpotent Lie groups. These two theorems together imply a group of uncertainty theorems.

The Genetics Society of America annually honors members who have made outstanding contributions to genetics. The Thomas Hunt Morgan Medal recognizes a lifetime contribution to the science of genetics. The Genetics Society of America Medal recognizes particularly outstanding contributions to the science of genetics within the past fifteen years. The George W. Beadle Medal recognizes distinguishe...

George Buchanan was born in the year 1881 in Myddleton Square, Islington, where his father was in medical practice. He received his early education at University College School, and subsequently at the adjacent college. During this period he worked under T. H. Key and de Morgan; he acquired much fondness for classics, notably the English classics, and he was awarded medals in biology and chemis...

We show that the classifying topos for the theory of fields does not satisfy De Morgan’s law, and we identify its largest dense De Morgan subtopos as the classifying topos for the theory of fields of nonzero characteristic which are algebraic over their prime fields.