This paper explores a hitherto largely ignored dimension to norms in multi-agent systems: the normative role played by optimization objectives. We introduce the notion of optimization norms which constrain agent behaviour in a manner that is significantly distinct from norms in the traditional sense. We argue that optimization norms underpin most other norms, and offer a richer representation o...

Norms represent the expected behavior of an agent in a multi-agent system. Generally, norms describe the actions that can be performed, must be performed, and cannot be performed in the system. Due to the number of norms defined to govern a multi-agent systems (MAS), norms may conflict with each other. Norms are in conflict when the fulfillment of one norm violates the other and vice-versa. The...

Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of the parameter. This family of t-norms covers the whole spectrum of t-norms when the parameter is changed from zero to infinity. In this paper, we study a nonlinear optimization problem in which the constraints are defined as fuzzy relational equations (FRE) with the Dombi...

In this work we consider how to enforce norms in the Situation Calculus based programming language Golog and its relatives. We define a notion of norm compliant sequence of actions with respect to norms prescribing some actions to be forbidden or obliged (ought-to-do norms), norms prescribing that a state-condition is forbidden (oughtto-be norms) and norms that are a form of deadline. We then s...