pricing and advertising are two important marketing strategies in the supply chain management which lead to customer demand’s increase and therefore higher profit for members of supply chains. this paper considers advertising, and pricing decisions simultaneously for a three-level supply chain with one supplier, one manufacturer and one retailer. the amount of market demand is influenced by pri...

In this paper we deal with the problem of extending the concept of nucleolus on fuzzy cooperative games. Described a newly invented definition of nucleolus for fuzzy cooperative games. We prove that the newly defined nucleolus on the set of classical cooperative games coincides with the previously existing one. It is proved that for separate classes of fuzzy games the nucleolus exists and uniqu...

In this paper, we give a further discussion on the core solution for cooperative games with fuzzy payoffs. Some notions and results from classical games are extended to fuzzy cooperative games. Using an example, we point out that the theorem about the nonempty of I-core proposed in 2008 was not sufficient. Furthermore, the equivalence relation between balanced game and nonempty core, which play...