题名

Important Inequalities of Intuitionistic Fuzzy Number Based on Liu's Invariant Order

DOI

10.6338/JDA.201908_14(4).0002

作者

Hsiang-Chuan Liu；Hsiao-Yun Huang

关键词

Inequalities ； invariant order ； intuitionistic fuzzy number ； generalized mean inequality

期刊名称

Journal of Data Analysis

卷期/出版年月

14卷4期（2019 / 08 / 01）

页次

25 - 38

内容语文

英文
中文摘要

Constructing a proper ranking system is a crucial process leading to the level of achievement of fuzzy sets. In this paper, the basic inequalities of the intuitionistic fuzzy number will be extended, so that not only the order is invariant, but also the aggregation models are still valid in the intuitionistic fuzzy number. According to these properties, several fundamental inequalities of intuitionistic fuzzy number will be verified based on Liu's invariant order. With these inequalities, we can show that the weighted mean inequalities of the intuitionistic fuzzy number have consistent results as the real number. Moreover, the high order geometric-arithmetic weighted mean inequality, the revered Minkovski's inequality, and the conditional Cauchy-Schwarz's inequality for intuitionistic fuzzy number will also be constructed in this paper.
主题分类 基礎與應用科學 > 資訊科學
基礎與應用科學 > 統計
社會科學 > 管理學
参考文献
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