Fuzzy Relations and Fuzzy Functions in Partial Fuzzy Set Theory

被引：11
|
作者：
Dankova, Martina [1 ]
机构：
[1] Div Univ Ostrava, Ctr Excellence IT4lnnovat, Inst Res & Applicat Fuzzy Modeling, 30 Dubna 22, Ostrava 70103 1, Czech Republic
来源：
ADVANCES IN FUZZY LOGIC AND TECHNOLOGY 2017, VOL 1 | 2018年 / 641卷
关键词：
Fuzzy function; Partial function; Undefined values; Functional relation;
D O I：
10.1007/978-3-319-66830-7_50
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we will study partially-defined fuzzy relations i.e., fuzzy relations with membership functions that are not necessarily defined everywhere. We will handle them in a suitable framework that is a partial fuzzy set theory. It provides tools for dealing with undefined values of the membership by means of special operations based on the connectives and quantifiers of a background fuzzy logic. We analyze a suitability of operations of a partial fuzzy set theory for a meaningful definition of the functionality property. This property determines fuzzy functions and we will be concerned with their properties.
引用
收藏
页码：563 / 573
页数：11
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