IMPLICATIVE SOFT IDEALS AND IMPLICATIVE IDEALISTIC SOFT BCK-ALGEBRAS

被引：0
|
作者：
Lee, Kyoung Ja [1 ]
Jun, Young Bae [2 ]
Park, Chul Hwan [3 ]
机构：
[1] Hannam Univ, Dept Math Educ, Daejeon 306791, South Korea
[2] Gyeongsang Natl Univ, Dept Math Educ & Rins, Chinju 660701, South Korea
[3] Ulsan Coll, Sch Digital, Mech, Ulsan 680749, South Korea
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2011年 / 26卷 / 02期
关键词：
soft BCK-algebra; (implicative; commutative; positive implicative) soft ideal; positive implicative) idealistic soft BCK-algebra;
D O I：
10.4134/CKMS.2011.26.2.183
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Molodtsov [5] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to an implicative ideal of BCK-algebras. The notion of implicative soft ideals in BCK-algebras and implicative idealistic soft BCK-algebras is introduced, and related properties are investigated. Relations between implicative soft ideals and commutative (resp. positive implicative) soft ideals are discussed. Also, relations between implicative idealistic soft BCK-algebras and commutative (resp. positive implicative) idealistic soft BCK-algebras are provided.
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页码：183 / 196
页数：14
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