Spaces of max-min measures on compact Hausdorff spaces

被引：2
|
作者：
Brydun, Viktoriya [1 ]
Zarichnyi, Mykhailo [2 ]
机构：
[1] Lviv Natl Univ, Dept Mech & Math, Univ Str 1, UA-79000 Lvov, Ukraine
[2] Univ Rzeszow, Fac Math & Nat Sci, 1 Prof St Pigon St, PL-35310 Rzeszow, Poland
来源：
FUZZY SETS AND SYSTEMS | 2020年 / 396卷
关键词：
Max-min measure; Max-plus measure; Compact Hausdorff space; Monad;
D O I：
10.1016/j.fss.2019.06.012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The notion of max-min measure is a counterpart of the notion of max-plus measure (Maslov measure or idempotent measure). In this paper we consider the spaces of max-min measures on the compact Hausdorff spaces. It is proved that the obtained functor of max-min measures is isomorphic to the functor of max-plus (idempotent) measures considered by the second-named author. However, it turns out that the monads generated by these functors are not isomorphic. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：138 / 151
页数：14
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