We consider the problem of finding shortest paths on the surface of uncertain terrains. In this paper, a terrain is a triangulated 2D surface in 3D such that every vertical line intersects the surface at most once. Terrains of this type are used to represent, for example, a piece of the earth’s surface, and are typically inexact. We model their uncertainty by allowing the terrain vertices to ha...

Addressing deficit irrigation scheduling (DIS) for strategic crop production (especially wheat) under precipitation uncertainty is a priority for irrigation scheduling in drought conditions. This research investigated the precipitation uncertainty by enacting optimistic and pessimistic scenarios for the next 20 years by considering the statistical record of climate in Badjgah area. DIS was cond...

To address the adaptive value of optimism/pessimism an operational definition is required. I define a behavioural decision as relatively optimistic if it is consistent with the animal having either, a higher expectation of reward, or a lower expectation of punishment (threat), than the same animal in a different state (or a different animal). Pessimism is the inverse of optimism. Such relative ...

We prove that under mild conditions individually rational Pareto optima will exist even in presence of non-convex preferences. We consider decision makers dealing with a countable flow of payoffs or choosing among financial assets whose outcomes depend on the realization of a countable set of states of the world. Our conditions for the existence of Pareto optima can be interpreted as a requirem...

This report presents a probabilistic analysis of a family of simple synchronous round-based consensus algorithms aimed at solving the 1-of-n selection problem. In this problem, a set of n nodes are to select one common value among a set of n proposed values. There are two possible outcomes of each node’s selection process: it can decide either to select a value, or to abort. Agreement implies t...

Intuitionistic fuzzy sets are suitable for capturing imprecise or uncertain decision information in multiple criteria decision analysis. In addition, optimism and pessimism generally affect the manner in which subjective judgments are construed. This paper proposes an outranking model, a QUALIFLEX method, for relating optimism and pessimism within the intuitionistic fuzzy decision environment. ...