35 citations · 101 across the 6 of their papers we have counts for
6 papers
On Transformations between Probability and Spohnian Disbelief Functions
Phan H. Giang, Prakash P. Shenoy
In this paper, we analyze the relationship between probability and Spohn's theory for representation of uncertain beliefs. Using the intuitive idea that the more probable a proposi…
A Qualitative Linear Utility Theory for Spohn's Theory of Epistemic Beliefs
Phan H. Giang, Prakash P. Shenoy
In this paper, we formulate a qualitative "linear" utility theory for lotteries in which uncertainty is expressed qualitatively using a Spohnian disbelief function. We argue that a…
A Comparison of Axiomatic Approaches to Qualitative Decision Making Using Possibility Theory
Phan H. Giang, Prakash P. Shenoy
In this paper we analyze two recent axiomatic approaches proposed by Dubois et al and by Giang and Shenoy to qualitative decision making where uncertainty is described by possibili…
Statistical Decisions Using Likelihood Information Without Prior Probabilities
Phan H. Giang, Prakash P. Shenoy
This paper presents a decision-theoretic approach to statistical inference that satisfies the likelihood principle (LP) without using prior information. Unlike the Bayesian approac…
Decision Making with Partially Consonant Belief Functions
Phan H. Giang, Prakash P. Shenoy
This paper studies decision making for Walley's partially consonant belief functions (pcb). In a pcb, the set of foci are partitioned. Within each partition, the foci are nested. T…
Decision Making for Symbolic Probability
Phan H. Giang, Sathyakama Sandilya
This paper proposes a decision theory for a symbolic generalization of probability theory (SP). Darwiche and Ginsberg [2,3] proposed SP to relax the requirement of using numbers fo…