On the Cross-Migrativity with Respect to Continuous t-Norms

被引：14

作者：

Li, Shuai ^{[1
]}

Qin, Feng ^{[2
]}

Fodor, Janos ^{[3
]}

机构：

[1] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Peoples R China

[2] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China

[3] Obuda Univ, H-1034 Budapest, Hungary

来源：

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS | 2015年 / 30卷 / 05期

基金：

中国国家自然科学基金; 匈牙利科学研究基金会;

关键词：

TRIANGULAR NORMS; CONVEX COMBINATIONS;

D O I：

10.1002/int.21708

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Depending on whether alpha is an idempotent element of the t-norm T-0 or not, we study and characterize the structure of a continuous crossmigrative t-norm T with respect to a fixed and continuous t-norm T-0, which is indeed the conjecture presented by Fodor et al. (Int J Intell Syst 2012; 27: 411-428) Results of this paper show that the (alpha, T-0)-cross-migrativity is completely determined by the restriction on a portion of domain of T and have nothing to do with the remaining of [0, 1](2). Moreover, we also clarify the relations between our present results and the previous results. (C) 2015 Wiley Periodicals, Inc.

引用

页码：550 / 562

页数：13

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