On a regularity property of additive representation functions
✍ Scribed by Sándor Kiss
- Publisher
- Springer Netherlands
- Year
- 2005
- Tongue
- English
- Weight
- 195 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0031-5303
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📜 SIMILAR VOLUMES
This paper discusses the functional I deÿned on the class of continuous functions, which is comonotonically additive and monotone. The notion of regular fuzzy measure is proposed and the uniqueness theorem of regular fuzzy measure is shown. It is also shown that I can be represented by the di erence
Let A be an infinite subset of natural numbers, nAN and X a positive real number. Let rðnÞ denotes the number of solution of the equation n ¼ a 1 þ a 2 where a 1 pa 2 and a 1 ; a 2 AA: Also let jAðX Þj denotes the number of natural numbers which are less than or equal to X and belong to A: For those