Derivatives and differentials for multiplicative intuitionistic fuzzy information

被引：14

作者：

Yu, Shan ^{[1
]}

Xu, Ze-shui ^{[2
]}

Liu, Shou-sheng ^{[1
]}

机构：

[1] PLA Univ Sci & Technol, Sch Sci, Nanjing 210007, Jiangsu, Peoples R China

[2] Sichuan Univ, Sch Business, Chengdu 610064, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2017年 / 32卷 / 04期

基金：

中国国家自然科学基金;

关键词：

multiplicative intuitionistic fuzzy set; multiplicative intuitionistic fuzzy number; multiplicative intuitionistic fuzzy function; derivative; differential; GROUP DECISION-MAKING; PREFERENCE RELATIONS; AGGREGATION OPERATORS; SETS; OPERATIONS; INTERVALS;

D O I：

10.1007/s11766-017-3479-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the unsymmetrical scale instead of the symmetrical scale, the multiplicative intuitionistic fuzzy sets (MIFSs) reflect our intuition more objectively. Each element in a MIFS is expressed by an ordered pair which is called a multiplicative intuitionistic fuzzy number (MIFN) and is based on the unbalanced scale (i.e., Saaty's 1-9 scale). In order to describe the derivatives and differentials for multiplicative intuitionistic fuzzy information more comprehensively, in this paper, we firstly propose two new basic operational laws for MIFNs, which are the subtraction law and the division law. Secondly, we describe the change values of MIFNs when considering them as variables, classify these change values based on the basic operational laws for MIFNs, and depict the convergences of sequences of MIFNs by the subtraction and division laws. Finally, we focus on the multiplicative intuitionistic fuzzy functions and derive some basic results related to their continuities, derivatives and differentials, and also give their application in selecting the configuration of a computer.

引用

页码：443 / 461

页数：19

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