剩余格的T-模糊滤子与T-模糊同余关系OACSCDCSTPCD
T-fuzzy filters and T-fuzzy congruences of residuated lattices
将t-模应用于模糊滤子和模糊同余上,引入剩余格的T-模糊滤子与T-模糊同余,并分别研究T-模糊滤子与T-模糊同余的性质与一些等价刻画;得到全体T-模糊滤子的集合与T-模糊同余的集合是同构;研究了由T-模糊滤子所诱导的商剩余格以及同态定理.这些理论在其他的逻辑代数系统仍然成立.
Applying t-norm to fuzzy filters and fuzzy congruences in residuated lattices, the notions of T-fuzzy filters and T-fuzzy congruences of residuated lattices are introduced, their properties and some equivalent characterizations are derived. The set TFF(L) of all T-fuzzy filters is isomorphic to the set TFC(L) of all T-fuzzy cogruences.The quotient residuated lattices and homomorphism theorem are obtained.These results and methods are still held in other logi…查看全部>>
刘熠;秦晓燕;徐扬
内江师范学院四川省高等学校数值仿真重点实验室,四川内江641112内江师范学院数学与信息科学学院,四川内江641112西南交通大学智能控制开发中心,成都610031
信息技术与安全科学
剩余格T-模糊滤子T-模糊同余
residuated latticesT-fuzzy filtersT-fuzzy congruences
《计算机工程与应用》 2011 (28)
基于格值逻辑的语言真值α-广义归结自动推理研究
24-27,4
国家自然科学基金(the National Natural Science Foundation of China under Grant No.60875034)四川省教育厅科研基金.
评论