摘要
将直觉模糊集与理想概念相结合,在MTL代数中引入直觉模糊理想和直觉模糊素(Boolean/关联/超/固执)理想的概念并考察它们的特征性质和相互关系.证明了对MTL代数的非常值直觉模糊理想A而言,如下各条件是等价的:(ⅰ)A是直觉模糊Boolean理想和直觉模糊素理想;(ⅱ)A是直觉模糊关联理想和直觉模糊素理想;(ⅲ)A是直觉模糊超理想;(ⅳ)A是直觉模糊固执理想.
Combining intuitionistic fuzzy sets and ideals,the concepts of intuitionistic fuzzy ideals and intuitionistic fuzzy prime(Boolean/implicative/ultra/obstinate)ideals in MTLalgebras are introduced and their properties and relations are investigated.It is proved that the following conditions are equivalent for a non-constant intuitionistic fuzzy ideal A in a MTL-algebra:(i)A is both an intuitionistic fuzzy Boolean and an intuitionistic fuzzy prime ideal;(i)A is both an intuitionistic fuzzy implicative and an intuitionistic fuzzy prime ideal;(ii)A is an intuitionistic fuzzy ultra ideal;(iv)A is an intuitionistic fuzzy obstinate ideal.
作者
刘春辉
LIU Chunhui(Education Science College,Chifeng University,Chifeng 024000,China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2023年第6期7-17,共11页
Journal of Anhui University(Natural Science Edition)
基金
内蒙古自治区高等学校科学研究项目(NJZY21138,NJZY22146)
内蒙古自治区残疾人联合会研究项目(2023KTYJ19)
赤峰学院2022年教育教学研究项目(JYJXZ202204)
内蒙古自治区社会科学基金项目(2022DY31)。
