[1]闵幼梅,覃 锋.半零模在2一致模上的分配性[J].江西师范大学学报(自然科学版),2016,40(03):263-267.
 MIN Youmei,QIN Feng.The Distributivity for Semi-Nullnorms over 2-Uninorms[J].,2016,40(03):263-267.
点击复制

半零模在2一致模上的分配性()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年03期
页码:
263-267
栏目:
出版日期:
2016-07-01

文章信息/Info

Title:
The Distributivity for Semi-Nullnorms over 2-Uninorms
作者:
闵幼梅覃 锋
江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
MIN YoumeiQIN Feng
College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
分配性方程 2一致模 半零模 半三角模 半三角余模
Keywords:
distributivity equations 2-uninorms semi-nullnorms semi-t-norms semi-t-conorms
分类号:
O 14; O 17
文献标志码:
A
摘要:
鉴于2一致模是一致模和零模的公共推广,半零模是通过去掉零模的结合性和交换性而获得.对于一些特殊情况,给出了带有连续基本算子的半零模在2一致模上分配的充要条件.
Abstract:
Considering a 2-uninorm covering both a uninorm and a nullnorm and a semi-uninorm being generalization of uninorms by omitting commutativity and as sociativity.For special cases,distributivity for semi-nullnorms over 2-uninorms is investigated and the sufficient and necessary conditions of this equation are given out when the semi-nullnorm has the continuously underlying operator.

参考文献/References:

[1] Calvo T,De Baets B.On the generalization of the absorption equation [J].Fuzzy Math,2000,8(1):141-149.
[2] Calvo T,De Baets B,Fodor J C.The functional equations of Frank and Alsina for uninorms and nullnorms [J].Fuzzy Sets Syst,2001,120(3):385-394.
[3] Drewniak J,Drygas P,Rak E.Distributivity equations for uninorms and nullnorms [J].Fuzzy Sets Syst,2008,159(13):1646-1657.
[4] Drygas P,Rak E.Distributivity equation in the class of 2-uninorms [J].Fuzzy Sets Syst,2016,291(1):82-97.
[5] Akella P.Structure of n-uninorms [J].Fuzzy Sets Syst,2007,158(15):1631-1651.
[6] Yager R R,Rybalow A.Uninorm aggreation operators [J].Fuzzy Sets Syst,1996,80(1):111-120.
[7] Fodor J C,Yager R R,Rybalov A.Structure of uninorms [J].Int J Uncertain,Fuzziness Knowl-Based Syst,1997,5(4):411-427.
[8] Sander W.Associative aggregation operators [C]∥Calvo T,Mayor G,Mesiar R.Aggreation operators.Heidelberg:Physica-Verlag,2002:124-158.
[9] Aczel J.Lectures on functional equations and their applications [M].New York:Acad Press,1966.
[10] Rak E.Distributivity equation for nullnorms [J].J Electr Eng,2005,56(12):53-55.
[11] Klement E P,Mesiar R,Pap E.Triangular norms [M].Dordrecht:Kluwer Academic Publishers,2000.
[12] Drygas P.Distributivity between semit-operators and semi-nullnorms [J].Fuzzy Sets Syst,2015,264(1):100-109.
[13] Gabbay D,Metcalfe G.Fuzzy logics based on [0,1)-continuous uninorms [J].Arch Math Log,2007,46(5):425-449.
[14] Dubois D,Prade H.Fundamentals of fuzzy sets [M].Boston:Kluwer Acad Publ,2000.

备注/Memo

备注/Memo:
收稿日期:2016-02-15基金项目:国家自然科学基金(61563020)和江西省自然科学基金(20151BAB201019)资助项目.通信作者:覃 锋(1976-),男,湖北鹤峰人,教授,博士,主要从事模糊逻辑与模糊控制研究.
更新日期/Last Update: 1900-01-01