Cooperative interval games: Mountain situations with interval data

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:259

Article

Gok, S. Z. Alparslan¹  Palanci, O.¹  Olgun, M. O.² 

[1] Suleyman Demirel Univ, Fac Arts & Sci, Dept Math, TR-32260 Isparta, Turkey

[2] Suleyman Demirel Univ, Fac Engn, Dept Ind Engn, TR-32260 Isparta, Turkey

关键词: Cooperative games;    Interval data;    Bird allocation;    Minimum cost spanning tree problems;    Monotonic allocation schemes;   

DOI  :  10.1016/j.cam.2013.01.021

来源: Elsevier

【 摘 要 】

In this paper, we extend mountain situations by using interval calculus. We define the interval Bird allocation and show that this allocation is a special core element of the interval cost game corresponding to an interval mountain situation. We deal with the interval cost sharing problem by introducing the cooperative interval cost game. Further, we consider a subset of the interval core of the related interval cost game. Each element of this set is extendable to a population monotonic interval allocation scheme or shortly pmias. Finally, we show that each interval core element of an interval connection game is extendable to bi-monotonic interval allocation scheme or shortly bi-mias. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free