BCC-代数的不分明化理想(英文)  

On Fuzzifying Ideals in BCC-algebras

作　　者：彭家寅[1] 

机构地区：[1]四川省高等学校数值仿真重点实验室//内江师范学院数学与信息科学学院,四川内江641112

出　　处：《内江师范学院学报》2009年第6期5-10,共6页Journal of Neijiang Normal University

基　　金：四川省教育厅重点实验室专项基金(2006ZD050)

摘　　要：通过一元谓词和采用格值逻辑语义方法推广了不分明化BCC-代数,引入了BCC-代数的不分明化BCH-子代数、不分明化BCK-理想和不分明化BCC-理想的概念,讨论了它们的性质和它们间的关系.研究了BCC-代数的不分明化BCH-子代数(不分明化BCK-理想、不分明化BCC-理想)的同态象和同态原象,讨论了BCC-代数的不分明化BCH-子代数(不分明化BCK-理想、不分明化BCC-理想)的积代数的性质.The fuzzifying BCC-algebra is extended by a unary predicate and by adopting the semantic method of lattice valued logic, and the concepts of fuzzifying subalgebras, fuzzifying BCK-ideals and fuzzifying BCC-ideals in BCC-algebras are defined, and their properties and relations among them are discussed. How to deal with the homomorphic images and inverse images of fuzzifying subalgebras, fuzzifying BCK-ideals and fuzzifying BCC-ideals are studied. Some properties of the product of two fuzzifying subalgebras （fuzzifying BCK-ideals, fuzzifying BCC-ideals） are investigated.

关 键 词：BCC-代数 不分明化子代数 不分明化BCK-理想 不分明化BCC-理想 

分 类 号：O189.13[理学—数学]