Some properties of idempotent uninorms on a special class of bounded lattices

被引：38
作者：
Cayli, Gul Deniz [1 ]
Drygas, Pawel [2 ]
机构：
[1] Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkey
[2] Univ Rzeszow, Fac Math & Nat Sci, Interdisciplinary Ctr Computat Modelling, Ul Pigonia 1, PL-35959 Rzeszow, Poland
来源：
INFORMATION SCIENCES | 2018年 / 422卷
关键词：
Uninorms; Aggregation operators; Bounded lattice; FUZZY-SET-THEORY; AGGREGATION OPERATORS; MONOTONIC OPERATIONS; ORDER;
D O I：
10.1016/j.ins.2017.09.018
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Binary operations have many applications in fuzzy set theory. One of them is uninorms. In this paper, we study some properties of idempotent uninorms on bounded lattices. It is shown that idempotent uninorms on an arbitrary bounded lattice need not always be internal (with the extended definition of the term "internal"). We give a sufficient condition for the bounded lattice to any idempotent uninorm be internal. In addition that it is given many properties of idempotent uninorms in this case. (C) 2017 Elsevier Inc. All rights reserved.
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收藏
页码：352 / 363
页数：12
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