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

共 50 条

[31] On the continuity points of left-continuous t-norms
S. Jenei
F. Montagna
[J]. Archive for Mathematical Logic, 2003, 42 : 797 - 810
[32] A generalization of the Mulholland inequality for continuous Archimedean t-norms
Saminger-Platz, Susanne
De Baets, Bernard
De Meyer, Hans
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 607 - 614
[33] Basic hoops: An algebraic study of continuous t-norms
Aglianò P.
Ferreirim I.M.A.
Montagna F.
[J]. Studia Logica, 2007, 87 (1) : 73 - 98
[34] On the continuity points of left-continuous t-norms
Jenei, S
Montagna, F
[J]. ARCHIVE FOR MATHEMATICAL LOGIC, 2003, 42 (08) : 797 - 810
[35] On the convex combination of left-continuous t-norms
Jenei S.
[J]. aequationes mathematicae, 2006, 72 (1-2) : 47 - 59
[36] Left-continuous t-norms as functional algebras
Vetterlein, Thomas
[J]. NEW DIMENSIONS IN FUZZY LOGIC AND RELATED TECHNOLOGIES, VOL II, PROCEEDINGS, 2007, : 37 - 43
[37] Infinite fuzzy relation equations with continuous t-norms
Shieh, Bih-Sheue
[J]. INFORMATION SCIENCES, 2008, 178 (08) : 1961 - 1967
[38] AN EXTENSION METHOD FOR T-NORMS ON SUBINTERVALS TO T-NORMS ON BOUNDED LATTICES
Karacal, Funda
Ertugrul, Umit
Kesicioglu, M. Nesibe
[J]. KYBERNETIKA, 2019, 55 (06) : 976 - 993
[39] On Archimedean of t-norms
Zhang Kun-Long
Song Li-xia
[J]. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS RESEARCH AND MECHATRONICS ENGINEERING, 2015, 121 : 1089 - 1094
[40] Characterizations for the cross-migrativity between overlap functions and commutative aggregation functions
Luo, Yuqiong
Zhu, Kuanyun
[J]. INFORMATION SCIENCES, 2023, 622 : 303 - 318

← 1 2 3 4 5 →