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

页码：138 / 151

页数：14

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