Commutative basic algebras and coupled near semirings

被引：10
|
作者：
Chajda, Ivan [1 ]
Laenger, Helmut [2 ]
机构：
[1] Palacky Univ Olomouc, Dept Algebra & Geometry, Fac Sci, Olomouc 77146, Czech Republic
[2] Vienna Univ Technol, Inst Discrete Math & Geometry, Fac Math & Geoinformat, A-1040 Vienna, Austria
来源：
SOFT COMPUTING | 2015年 / 19卷 / 05期
关键词：
Basic algebra; Commutative basic algebra; Near semiring; Coupled near semiring;
D O I：
10.1007/s00500-014-1537-9
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The relationship between MV-algebras and semirings was described by Di Nola and Gerla (Contemp Math 377: 131-144, 2005). Since commutative basic algebras are similar to MV-algebras up to associativity of the binary operation we try to get a similar relationship between commutative basic algebras and so-called near semirings and we show that this is possible. This means that associativity does not play an important role in establishing a connection between an algebra of many-valued logic and a structure similar to a semiring.
引用
收藏
页码：1129 / 1134
页数：6
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