期刊
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING
卷 68, 期 -, 页码 45-53出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ijar.2015.10.004
关键词
Fuzzy set; Soft set; Hesitant fuzzy set; Fuzzy soft set; Hesitant fuzzy soft set; Interval type-2 fuzzy set
资金
- Spanish Ministerio de Economia y Competitividad [ECO2015-66797-P]
We prove that every hesitant fuzzy set on a set E can be considered either a soft set over the universe [0, 1] or a soft set over the universe E. Concerning converse relationships, for denumerable universes we prove that any soft set can be considered even a fuzzy set. Relatedly, we demonstrate that every hesitant fuzzy soft set can be identified with a soft set, thus a formal coincidence of both notions is brought to light. Coupled with known relationships, our results prove that interval type-2 fuzzy sets and interval-valued fuzzy sets can be considered as soft sets over the universe [0, 1]. Altogether we contribute to a more complete understanding of the relationships among various theories that capture vagueness and imprecision. (C) 2015 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据