山西大学学报（自然科学版）2022，Vol.45Issue(1)：15-30,16.DOI:10.13451/j.sxu.ns.2021059
量子B-代数的粗糙性
Roughness in Quantum B-algebras
摘要
Abstract
Uncertainty theories have the widespread applications and significant influence. In this paper, rough set theory of uncer-tainty theory is applied to quantum B-algebras. The rough subalgebras of (linearly ordered) quantum B-algebras are considered, and it is proved that the subalgebras of quantum B-algebras are rough subalgebras. Rough normal q-filters of lattice-order quantum B-al-gebras are studied. It is proved that normal q-filters on quantum B-algebras are rough normal q-filters. In order to study lattice-or-der quantum B-algebras, quantum B-algebras are divided into three types by means of identity element, and the concrete forms of union and intersection operations are given. Homomorphic images of rough normal q-filters on lattice-order quantum B-algebras are studied. In addition, rough set theory is applied to a special class of quantum B-algebra—KL-algebras, and rough set algebras are proved to be CKL-algebras by selecting suitable implication operators. Finally, rough soft set theory is applied to quantum B-alge-bras, and a decision making method is given on quantum B-algebras .关键词
量子B-代数/粗糙子代数/粗糙正规q-滤子/CKL-代数/决策Key words
quantum B-algebra/rough subalgebra/rough normal q-filter/CKL-algebra/decision making分类
数理科学引用本文复制引用
战秋艳,王静,杨义川..量子B-代数的粗糙性[J].山西大学学报（自然科学版）,2022,45(1):15-30,16.基金项目
国家自然科学基金(12171022) （12171022）
