On a new class of uninorms on bounded lattices

被引：90

作者：

Cayli, Gul Deniz ^{[1
]}

Karacal, Funda ^{[1
]}

Mesiar, Radko ^{[2
,3
]}

机构：

[1] Karadeniz Tech Univ, Dept Math, Fac Sci, TR-61080 Trabzon, Turkey

[2] Div Univ Ostrava IRAFM, Ctr Excellence IT4Innovat, 30 Dubna 22, Ostrava 70103, Czech Republic

[3] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Radlinskeho 11, Bratislava 81005, Slovakia

来源：

INFORMATION SCIENCES | 2016年 / 367卷

关键词：

Bounded lattice; Idempotent uninorm; Neutral element; Uninorm; FUZZY-SET THEORY; TRIANGULAR NORMS; OPERATORS; OPERATIONS; UNIFORMS; CONORMS;

D O I：

10.1016/j.ins.2016.05.036

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study and propose some new construction methods to obtain uninorms on bounded lattices. Considering an arbitrary bounded lattice L, we show the existence of idempotent uninorms on L for any element e is an element of L\{0, 1} playing the role of a neutral element. By our construction method, we obtain the smallest idempotent uninorm and the greatest idempotent uninorm with the neutral element e is an element of L\{0, 1}. We see that the obtained uninorms are conjunctive and disjunctive uninorms, respectively. On the other hand, if L is not a chain, we also provide an example of an idempotent uninorm which is neither conjunctive nor disjunctive. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：221 / 231

页数：11

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