内江师范学院学报
內江師範學院學報
내강사범학원학보
JOURNAL OF NEIJIANG TEACHERS COLLEGE
2014年
12期
1-8
,共8页
BL-代数%(∈,∈∨q)-模糊滤子%(∈,∈∨q)-模糊n-重蕴涵滤子%门限模糊n-重蕴涵滤子%重于关系
BL-代數%(∈,∈∨q)-模糊濾子%(∈,∈∨q)-模糊n-重蘊涵濾子%門限模糊n-重蘊涵濾子%重于關繫
BL-대수%(∈,∈∨q)-모호려자%(∈,∈∨q)-모호n-중온함려자%문한모호n-중온함려자%중우관계
BL-algebra%(∈,∈∨q)-fuzzy filter%(∈,∈∨q)-fuzzy n-fold implicative filter%fuzzy n-fold implicative filter with thresholds%quasi-coincidence Key words:BL-algebra%quasi-coincidence
利用模糊点与模糊集之重于关系,在BL-代数中引入了(∈,∈∨q)-模糊n-重蕴涵滤子的概念,推广了经典的模糊n-重蕴涵滤子,给出了(∈,∈∨q)-模糊n-重蕴涵滤子的一些刻画。研究了(∈,∈∨q)-模糊蕴涵滤子与(∈,∈∨q)-模糊n-重蕴涵滤子的关系、(∈,∈∨q)-模糊n-重蕴涵滤子与(∈,∈∨q)-模糊(n+1)-重蕴涵滤子的关系。提出门限模糊n-重蕴涵滤子的概念,以此获得了非平凡的经典模糊n-重蕴涵滤子、非平凡的(∈,∈∨q)-模糊n-重蕴涵滤子,研究了门限模糊n-重蕴涵滤子和(∈,∈∨q)-模糊n-重蕴涵滤子的性质。
利用模糊點與模糊集之重于關繫,在BL-代數中引入瞭(∈,∈∨q)-模糊n-重蘊涵濾子的概唸,推廣瞭經典的模糊n-重蘊涵濾子,給齣瞭(∈,∈∨q)-模糊n-重蘊涵濾子的一些刻畫。研究瞭(∈,∈∨q)-模糊蘊涵濾子與(∈,∈∨q)-模糊n-重蘊涵濾子的關繫、(∈,∈∨q)-模糊n-重蘊涵濾子與(∈,∈∨q)-模糊(n+1)-重蘊涵濾子的關繫。提齣門限模糊n-重蘊涵濾子的概唸,以此穫得瞭非平凡的經典模糊n-重蘊涵濾子、非平凡的(∈,∈∨q)-模糊n-重蘊涵濾子,研究瞭門限模糊n-重蘊涵濾子和(∈,∈∨q)-模糊n-重蘊涵濾子的性質。
이용모호점여모호집지중우관계,재BL-대수중인입료(∈,∈∨q)-모호n-중온함려자적개념,추엄료경전적모호n-중온함려자,급출료(∈,∈∨q)-모호n-중온함려자적일사각화。연구료(∈,∈∨q)-모호온함려자여(∈,∈∨q)-모호n-중온함려자적관계、(∈,∈∨q)-모호n-중온함려자여(∈,∈∨q)-모호(n+1)-중온함려자적관계。제출문한모호n-중온함려자적개념,이차획득료비평범적경전모호n-중온함려자、비평범적(∈,∈∨q)-모호n-중온함려자,연구료문한모호n-중온함려자화(∈,∈∨q)-모호n-중온함려자적성질。
By using the concept of quasi-coincidence of a fuzzy point with a fuzzy set,the notion of (∈,∈∨q)-fuzzy n-fold implicative filters in BL-algebras which is a generalization of ordinary fuzzy n-fold implicative filters,is defined,and several characterizations of (∈,∈∨q)-fuzzy n-fold implicative filters are given.The relation between (∈,∈∨q)-fuzzy filters and (∈,∈∨q)-fuzzy n-fold implicative filters and the relation between (∈,∈∨q)-fuzzy n-fold implicative filters and (∈,∈∨q)-fuzzy (n+1 )-fold implicative filters are investigated.The concept of a fuzzy n-fold implicative filters with thresholds in BL-algebras is proposed.The acceptable nontrivial concepts obtained in this manner were the ordinary fuzzy n-fold implicative filters and (∈,∈∨q)-fuzzy n-fold implicative filters.The extension properties for fuzzy n-fold implicative filters with thresholds and (∈,∈∨q)-fuzzy n-fold implicative filters are established.By using the concept of quasi-coincidence of a fuzzy point with a fuzzy set,the notion of (∈,∈∨q)-fuzzy n-fold implicative filters in BL-algebras which is a generalization of ordinary fuzzy n-fold implicative filters,is defined,and several characterizations of (∈,∈∨q)-fuzzy n-fold implicative filters are given.The relation between (∈,∈∨q)-fuzzy filters and (∈,∈∨q)-fuzzy n-fold implicative filters and the relation between (∈,∈∨q)-fuzzy n-fold implicative filters and (∈,∈∨q)-fuzzy (n+1 )-fold implicative filters are investigated.The concept of a fuzzy n-fold implicative filters with thresholds in BL-algebras is proposed.The acceptable nontrivial concepts obtained in this manner were the ordinary fuzzy n-fold implicative filters and (∈,∈∨q)-fuzzy n-fold implicative filters.The extension properties for fuzzy n-fold implicative filters with thresholds and (∈,∈∨q)-fuzzy n-fold implicative filters are established.