In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Dombi family of t-norms is considered as fuzzy composition. Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of ...

In many optimization problems, a solution can be viewed as ascribing a “cost” to each client, and the goal is to optimize some aggregation of the per-client costs. We often optimize some Lp-norm (or some other symmetric convex function or norm) of the vector of costs—though different applications may suggest different norms to use. Ideally, we could obtain a solution that optimizes several norm...

" Social norms " is a term widely used in different areas of research like sociology, philosophy or multiagent systems. However, there is still not a clear definition of what social norms are and the types of problems they solve. This work presents a general classification and distinction of norms from a game theoretical perspective. The type of norms treated in this work are those norms create...

Although various norms for reciprocity-based cooperation have been suggested that are evolutionarily stable against invasion from free riders, the process of alternation of norms and the role of diversified norms remain unclear in the evolution of cooperation. We clarify the co-evolutionary dynamics of norms and cooperation in indirect reciprocity and also identify the indispensable norms for t...

Humans can be characterized by a disposition to act, to believe and to feel in ways that are guided by norms and correspondingly by a disposition to experience certain feelings when norms are violated. Norms are fundamental to social life and the capacity to accept norms is a universal human biological and social adaptation. Norms serve the function of coordinating actions, beliefs, and feeling...