Totally Monotone Core and Products of Monotone Measures
نویسنده
چکیده
Several approaches to the product of non-additive monotone measures (or capacities) are discussed and a new approach is proposed. It starts with the M obius product [E. Hendon, H.J. Jacobsen, B. Sloth, T. Tranñs, The product of capacities and belief functions, Mathematical Social Sciences 32 (1996) 95±108] of totally monotone measures and extends it by means of a supremum to general monotone measures. The sup runs over sets of totally monotone measures. These sets are de®ned like the core of monotone measures (or cooperative games). The new product is compatible with the partial order 6 for arbitrary monotone measures. Ó 2000 Elsevier Science Inc. All rights reserved.
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