𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A representation theorem for recovering contraction relations satisfying wci

✍ Scribed by Zhaohui Zhu; Bin Li; Xi'an Xiao; Shifu Chen; Wujia Zhu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
219 KB
Volume
290
Category
Article
ISSN
0304-3975

No coin nor oath required. For personal study only.

✦ Synopsis

A notion of an image structure associated with the canonical epistemic state is introduced. Based on it, we get a representation result for recovering contraction inference relations satisfying the condition weak conjunctive inclusion (wci) in terms of F-standard epistemic AGM states. In e ect, this result establishes a representation theorem for belief contraction functions satisfying AGM postulates (k-1) -(k-7), and Rott's (wci) and (k-8c), and hence generalizes Rott's corresponding result in the ΓΏnite framework.

πŸ“œ SIMILAR VOLUMES

A representation theorem for min-transit
A representation theorem for min-transitive fuzzy relations
✍ Sukhamay Kundu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 112 KB

We provide an abstract representation theorem for an arbitrary min-transitive fuzzy relation R(x; y) on a set X in terms of a speciΓΏc min-transitive relation on the interval [0, 1]. The technique used here gives us a fuzzy lattice structure on F(X ) = the set of all fuzzy subsets of X . The underlyi

A Generalization of Favardβ€²s Theorem for
A Generalization of Favardβ€²s Theorem for Polynomials Satisfying a Recurrence Relation
✍ A.J. Duran πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 744 KB

In this paper, we give the canonical expression for an inner product (defined in \(\mathscr{P}\), the linear space of real polynomials), for which the set of orthonormal polynomials satisfies a \((2 N+1)\)-term recurrence relation. This result is a generalization of Favard's theorem about orthogonal