Default and non-monotonic inference rule* are not really epistemological statements, but are instead desires or preferences of the agent about the makeup of Its own mental state (cpistemic or otherwise). The fundamental relation in non-monotonic logic is not so mum self-knowledge as self-choice or self-determination, and the fundamental justification of the interpretations and structures involv...

This manuscript determines the set of Pareto optimal solutions certain multiobjective-optimization problems involving continuous linear operators defined on Banach spaces and Hilbert spaces. These multioptimization typically arise in engineering. In order to accomplish our goals, we first characterize, an abstract setting, any multiobjective optimization problem. We then provide sufficient topo...

Water management usually considers economic and ecological objectives, involves tradeoffs, conflicts, compromise, cooperation among objectives. Pareto optimality often is championed in water management, but its relationships with the mathematical representation of implications tradeoffs for optimal decisions, are rarely examined. We evaluate properties optimized to identify promising regions su...

This paper defines and studies optimality in a dynamic stochastic economy with finitely lived agents, and investigates the optimality properties of an equilibrium with or without sequentially complete markets. Various Pareto optimality concepts are considered, including interim and ex ante optimality. We show that, at an equilibrium with a productive asset (land) and sequentially complete marke...

In this paper, we extend TOPSIS (Technique for Order Preference by Similarity Ideal Solution) for solving Large Scale Multiple Objective Programming problems involving fuzzy parameters. These fuzzy parameters are characterized as fuzzy numbers. For such problems, the α-Pareto optimality is introduced by extending the ordinary Pareto optimality on the basis of the α-Level sets of fuzzy numbers. ...

The objective of this paper is to consider the following question. Does the presence of increasing returns introduce a fundamental trade-off between equity and efficiency objectives? We show that if the no-envy notion of Foley (1967) is taken as the equity criterion and Pareto optimality as the efficiency criterion, then the answer is yes; there exist economies with increasing returns and well-...